Integrand size = 60, antiderivative size = 24 \[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=e^{\frac {-e^{220 \left (-5+\log \left (2+x^4\right )\right )}+\frac {1}{x}}{x}} \] Output:
exp((1/x-exp(220*ln(x^4+2)-1100))/x)
Time = 7.63 (sec) , antiderivative size = 21, normalized size of antiderivative = 0.88 \[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=e^{\frac {1}{x^2}-\frac {\left (2+x^4\right )^{220}}{e^{1100} x}} \] Input:
Integrate[(E^((1 - (x*(2 + x^4)^220)/E^1100)/x^2)*(-4 - 2*x^4 + ((2 + x^4) ^220*(2*x - 879*x^5))/E^1100))/(2*x^3 + x^7),x]
Output:
E^(x^(-2) - (2 + x^4)^220/(E^1100*x))
Below are the steps used by Rubi to obtain the solution. The rule number used for the transformation is given above next to the arrow. The rules definitions used are listed below.
\(\displaystyle \int \frac {e^{\frac {1-\frac {x \left (x^4+2\right )^{220}}{e^{1100}}}{x^2}} \left (-2 x^4+\frac {\left (2 x-879 x^5\right ) \left (x^4+2\right )^{220}}{e^{1100}}-4\right )}{x^7+2 x^3} \, dx\) |
\(\Big \downarrow \) 2026 |
\(\displaystyle \int \frac {e^{\frac {1-\frac {x \left (x^4+2\right )^{220}}{e^{1100}}}{x^2}} \left (-2 x^4+\frac {\left (2 x-879 x^5\right ) \left (x^4+2\right )^{220}}{e^{1100}}-4\right )}{x^3 \left (x^4+2\right )}dx\) |
\(\Big \downarrow \) 2019 |
\(\displaystyle \int \frac {e^{\frac {1-\frac {x \left (x^4+2\right )^{220}}{e^{1100}}}{x^2}} \left (-\frac {879 x^{881}}{e^{1100}}-\frac {385000 x^{877}}{e^{1100}}-\frac {83929560 x^{873}}{e^{1100}}-\frac {12141745440 x^{869}}{e^{1100}}-\frac {1311301505360 x^{865}}{e^{1100}}-\frac {112771321673472 x^{861}}{e^{1100}}-\frac {8044310518675200 x^{857}}{e^{1100}}-\frac {489551066265000960 x^{853}}{e^{1100}}-\frac {25946062695633104640 x^{849}}{e^{1100}}-\frac {1216575243529520117760 x^{845}}{e^{1100}}-\frac {51095871598288829638656 x^{841}}{e^{1100}}-\frac {1941632047840491120844800 x^{837}}{e^{1100}}-\frac {67309523440496737999441920 x^{833}}{e^{1100}}-\frac {2143536977532257129262612480 x^{829}}{e^{1100}}-\frac {63080860775500579858059755520 x^{825}}{e^{1100}}-\frac {1724199974868822167707200258048 x^{821}}{e^{1100}}-\frac {43966836202870644638229621964800 x^{817}}{e^{1100}}-\frac {1050025153193465309495093695610880 x^{813}}{e^{1100}}-\frac {23567087357351237219728146911723520 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{1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 x^{233}}{e^{1100}}-\frac {746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 x^{229}}{e^{1100}}-\frac {509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 x^{225}}{e^{1100}}-\frac {339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 x^{221}}{e^{1100}}-\frac {220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 x^{217}}{e^{1100}}-\frac {140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 x^{213}}{e^{1100}}-\frac {86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 x^{209}}{e^{1100}}-\frac {52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 x^{205}}{e^{1100}}-\frac {30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 x^{201}}{e^{1100}}-\frac {17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 x^{197}}{e^{1100}}-\frac {9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 x^{193}}{e^{1100}}-\frac {5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 x^{189}}{e^{1100}}-\frac {2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 x^{185}}{e^{1100}}-\frac {1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 x^{181}}{e^{1100}}-\frac {727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 x^{177}}{e^{1100}}-\frac {353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 x^{173}}{e^{1100}}-\frac {166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 x^{169}}{e^{1100}}-\frac {76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 x^{165}}{e^{1100}}-\frac {33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 x^{161}}{e^{1100}}-\frac {14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 x^{157}}{e^{1100}}-\frac {6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 x^{153}}{e^{1100}}-\frac {2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 x^{149}}{e^{1100}}-\frac {966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 x^{145}}{e^{1100}}-\frac {365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 x^{141}}{e^{1100}}-\frac {133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 x^{137}}{e^{1100}}-\frac {47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 x^{133}}{e^{1100}}-\frac {16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 x^{129}}{e^{1100}}-\frac {5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 x^{125}}{e^{1100}}-\frac {1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 x^{121}}{e^{1100}}-\frac {504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 x^{117}}{e^{1100}}-\frac {147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 x^{113}}{e^{1100}}-\frac {41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 x^{109}}{e^{1100}}-\frac {11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 x^{105}}{e^{1100}}-\frac {2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 x^{101}}{e^{1100}}-\frac {691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 x^{97}}{e^{1100}}-\frac {161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 x^{93}}{e^{1100}}-\frac {35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 x^{89}}{e^{1100}}-\frac {7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 x^{85}}{e^{1100}}-\frac {1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 x^{81}}{e^{1100}}-\frac {285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 x^{77}}{e^{1100}}-\frac {50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 x^{73}}{e^{1100}}-\frac {8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 x^{69}}{e^{1100}}-\frac {1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 x^{65}}{e^{1100}}-\frac {194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 x^{61}}{e^{1100}}-\frac {26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 x^{57}}{e^{1100}}-\frac {3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 x^{53}}{e^{1100}}-\frac {382342433513943671545414838209364366995789334572540040095436922543211377304472125440 x^{49}}{e^{1100}}-\frac {40168725581430303271390421768509012189723566454124129225133961525460057149365288960 x^{45}}{e^{1100}}-\frac {3816696184813643433760020141459660294438850500292193009431333221356005430139027456 x^{41}}{e^{1100}}-\frac {324667314299374213589988345974208555852132136371920659448527555589889877396684800 x^{37}}{e^{1100}}-\frac {24415682126556713097468126287548298405052524541176782745590077630614360052203520 x^{33}}{e^{1100}}-\frac {1597391288607072551583557558113109936541373709191029857049055510589944501370880 x^{29}}{e^{1100}}-\frac {89020421414239764903064301438632987117743567732694983380026977225677073285120 x^{25}}{e^{1100}}-\frac {4104480502011459332234309550658912247289288866138413793861708960051440386048 x^{21}}{e^{1100}}-\frac {150017562208021174423768623927591821903848277271140855038805152048663756800 x^{17}}{e^{1100}}-\frac {4055774339264474147247815331990193649013409646654499306732673849549127680 x^{13}}{e^{1100}}-\frac {71035246976275193571479668033189380007741119749578386523257840567582720 x^9}{e^{1100}}-\frac {556048900009981945765007186169779882643766103714899307422761961390080 x^5}{e^{1100}}+\frac {1684996666696914987166688442938726917102321526408785780068975640576 x}{e^{1100}}-2\right )}{x^3}dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left 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x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left 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x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} 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x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{566}-4576998368058755128501035480272239049458079986398545722478901105529688010381391382446080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{562}-16019291046715054195085395893409307710445666360921268885438033136622756629229613116030976 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{558}-54979081443042457252065428163956942914005533525191925280970656362357304273112963586457600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{554}-185049126286142771192196839272656484326116009982901532205856365639928964050689904114401280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{550}-610876974912460290215562968068385952193872832727759169968787248450601437925803166290411520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{546}-1978051233599409482433444100181740200646574122897655280453906685796495672009159194894663680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{542}-6283135852140444705895404022087413440285839865881907601706994938603675386890235321094504448 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{538}-19579733654952911027453749643839299120880389365030883053600021980439679631451320104674918400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{534}-59863631689097408153290110738328133618954698673516272544671005005745191298583617175981916160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{530}-179588332850561823098453053918856240947019079983112012452000317234107438936356116738646999040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{526}-528668108507830459434356225842362298787642974040642214427064106798023203394677563276090408960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{566}-4576998368058755128501035480272239049458079986398545722478901105529688010381391382446080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{562}-16019291046715054195085395893409307710445666360921268885438033136622756629229613116030976 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{558}-54979081443042457252065428163956942914005533525191925280970656362357304273112963586457600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{554}-185049126286142771192196839272656484326116009982901532205856365639928964050689904114401280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{550}-610876974912460290215562968068385952193872832727759169968787248450601437925803166290411520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{546}-1978051233599409482433444100181740200646574122897655280453906685796495672009159194894663680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{542}-6283135852140444705895404022087413440285839865881907601706994938603675386890235321094504448 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{538}-19579733654952911027453749643839299120880389365030883053600021980439679631451320104674918400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{534}-59863631689097408153290110738328133618954698673516272544671005005745191298583617175981916160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{530}-179588332850561823098453053918856240947019079983112012452000317234107438936356116738646999040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{526}-528668108507830459434356225842362298787642974040642214427064106798023203394677563276090408960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left 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x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left 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x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} 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x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{566}-4576998368058755128501035480272239049458079986398545722478901105529688010381391382446080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{562}-16019291046715054195085395893409307710445666360921268885438033136622756629229613116030976 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{558}-54979081443042457252065428163956942914005533525191925280970656362357304273112963586457600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{554}-185049126286142771192196839272656484326116009982901532205856365639928964050689904114401280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{550}-610876974912460290215562968068385952193872832727759169968787248450601437925803166290411520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{546}-1978051233599409482433444100181740200646574122897655280453906685796495672009159194894663680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{542}-6283135852140444705895404022087413440285839865881907601706994938603675386890235321094504448 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{538}-19579733654952911027453749643839299120880389365030883053600021980439679631451320104674918400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{534}-59863631689097408153290110738328133618954698673516272544671005005745191298583617175981916160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{530}-179588332850561823098453053918856240947019079983112012452000317234107438936356116738646999040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{526}-528668108507830459434356225842362298787642974040642214427064106798023203394677563276090408960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right 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x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left 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x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{566}-4576998368058755128501035480272239049458079986398545722478901105529688010381391382446080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{562}-16019291046715054195085395893409307710445666360921268885438033136622756629229613116030976 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{558}-54979081443042457252065428163956942914005533525191925280970656362357304273112963586457600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{554}-185049126286142771192196839272656484326116009982901532205856365639928964050689904114401280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{550}-610876974912460290215562968068385952193872832727759169968787248450601437925803166290411520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{546}-1978051233599409482433444100181740200646574122897655280453906685796495672009159194894663680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{542}-6283135852140444705895404022087413440285839865881907601706994938603675386890235321094504448 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{538}-19579733654952911027453749643839299120880389365030883053600021980439679631451320104674918400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{534}-59863631689097408153290110738328133618954698673516272544671005005745191298583617175981916160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{530}-179588332850561823098453053918856240947019079983112012452000317234107438936356116738646999040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{526}-528668108507830459434356225842362298787642974040642214427064106798023203394677563276090408960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{566}-4576998368058755128501035480272239049458079986398545722478901105529688010381391382446080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{562}-16019291046715054195085395893409307710445666360921268885438033136622756629229613116030976 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{558}-54979081443042457252065428163956942914005533525191925280970656362357304273112963586457600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{554}-185049126286142771192196839272656484326116009982901532205856365639928964050689904114401280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{550}-610876974912460290215562968068385952193872832727759169968787248450601437925803166290411520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{546}-1978051233599409482433444100181740200646574122897655280453906685796495672009159194894663680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{542}-6283135852140444705895404022087413440285839865881907601706994938603675386890235321094504448 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{538}-19579733654952911027453749643839299120880389365030883053600021980439679631451320104674918400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{534}-59863631689097408153290110738328133618954698673516272544671005005745191298583617175981916160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{530}-179588332850561823098453053918856240947019079983112012452000317234107438936356116738646999040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{526}-528668108507830459434356225842362298787642974040642214427064106798023203394677563276090408960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left 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x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac 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x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left 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x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} 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x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
\(\Big \downarrow \) 7239 |
\(\displaystyle \int \frac {e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} \left (-x \left (879 x^4-2\right ) \left (x^4+2\right )^{219}-2 e^{1100}\right )}{x^3}dx\) |
\(\Big \downarrow \) 7293 |
\(\displaystyle \int \left (-879 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{878}-385000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{874}-83929560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{870}-12141745440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{866}-1311301505360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{862}-112771321673472 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{858}-8044310518675200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{854}-489551066265000960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{850}-25946062695633104640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{846}-1216575243529520117760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{842}-51095871598288829638656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{838}-1941632047840491120844800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{834}-67309523440496737999441920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{830}-2143536977532257129262612480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{826}-63080860775500579858059755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{822}-1724199974868822167707200258048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{818}-43966836202870644638229621964800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{814}-1050025153193465309495093695610880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{810}-23567087357351237219728146911723520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{806}-498626879526056842687435439635169280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{802}-9972475495019327880293828663756980224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{798}-189000965934569775668003904587563008000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{794}-3401995774361886085548865250683099545600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{790}-58277292753885039429092230698944063078400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{786}-951856277486183949277520719773699774873600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{782}-14848860676546667699768988360452370516148224 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{778}-221589223831649566122996777522796928434176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{774}-3167884020587350270325555077772504446701404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{770}-43444973082413011660789535271237873425019043840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{766}-572271256276687187542959471212989570226281512960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{762}-7248719244314116635291855970491558322947470917632 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{758}-88386992698105319506363784178419315859306787635200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{754}-1038539847398706204090543804842769807429978984284160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{750}-11770034459854311784502248297373136478734336330301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{746}-128777097242823681679701305668581853334264699903016960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{742}-1361347981112485009928987753844972125991772356121460736 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{738}-13915899243104055722830710406635850611316437086424268800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{734}-137653547475232058168311959737756826668468913687987486720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{730}-1318566175365566149526271973178119805371140668584026439680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{726}-12238905847822338895465313995881640229222086976072916664320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{722}-110149306233039513244603077324345835255237425793855691685888 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{718}-961784030136177302797273723779185793096716761061720378572800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{714}-8152200581511898045268480156620259520587815215688584139898880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{710}-67112931958325733255150436907731212483426173004516767060459520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{706}-536899140832353691312307060233117043881008237953261273119457280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{702}-4175848263111078269006180735142657891981486168228987821352812544 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{698}-31590940163020768456047566829117731300133622890517549528645632000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{694}-232561157174997035024914933423060848317175326166752612890076774400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{690}-1666674269862854112985176359880861365372925994346642233152346521600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{686}-11632607107293387385381372905169715697267020414809502598211987046400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{682}-79101047064171473846515128939756985059676513812188376994190079295488 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{678}-524233743429707853180144448054354098333644053247198374777401114624000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{674}-3387326625138771557992888903983800592418057093685415869024644387307520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{670}-21346358423448538408033695640120842402721806691787136103221075357204480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{666}-131239388694688523575762053138420778037190358083256343855002536766341120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{662}-787429134066461338162452436090739207053360868348265157256226381846544384 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{658}-4612042253643659718291082106574172978663124639428720836249006406788710400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{654}-26377398107299407320939016473886969540323548359660798251575675372406046720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{650}-147348206038132464403493279111848810566876515364065228264707998328794644480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{646}-804163845134943875883702140883076687790284185126304904902500372195909304320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{642}-4288832152599164904460310655879214440807498531965221478043770647544994988032 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{638}-22357954113962654470005262456057271206857120544275969222876271725317298585600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{634}-113952307762243289830894487018225550567069750931504379789786815642842735575040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{630}-567947039004572925333302807382966437374655092485116237177320991043385829621760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{626}-2768713508377007695363620459177398834033711585479550651642291838862869387018240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{622}-13204496911861581483891475294234169206550503792579198870240092314011809827782656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{618}-61620339164987773777449203623775991560896204730386847422804954219081400687001600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{614}-281427214822975832341478236416725064915955223293339158907967934099757083666677760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{610}-1258131648590766752930847467712413281207744177456228989455179070365771643266007040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{606}-5506545108193554306359609173203875161873648035189844292792010738172774907966914560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{602}-23599218123240880997674498465155996423421444735128463702380695534564762741089763328 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{598}-99049129652672229727595240330841199218903051687564503535821537137478194861965312000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{594}-407197353318611758990770740816692117741241075095949702000976131596134097168524902400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{590}-1639926628510197027285177149442131721061959513248301059779653821409996793250945433600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{586}-6470986324874644110473178640100378959746350764072593080905019206623607678917043814400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{582}-25020851137196256843212792826174748312553368347174960937734700679827103557670594936832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{578}-94814719732921457790331179069280958120131673754463792754460079500981036229469405184000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{574}-352164676016701702782707662012086166029122834230921779579569760672554024751299486023680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{570}-1282224801118603923091504779900397791899380687156018178189011440347180065600615816888320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{566}-4576998368058755128501035480272239049458079986398545722478901105529688010381391382446080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{562}-16019291046715054195085395893409307710445666360921268885438033136622756629229613116030976 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{558}-54979081443042457252065428163956942914005533525191925280970656362357304273112963586457600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{554}-185049126286142771192196839272656484326116009982901532205856365639928964050689904114401280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{550}-610876974912460290215562968068385952193872832727759169968787248450601437925803166290411520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{546}-1978051233599409482433444100181740200646574122897655280453906685796495672009159194894663680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{542}-6283135852140444705895404022087413440285839865881907601706994938603675386890235321094504448 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{538}-19579733654952911027453749643839299120880389365030883053600021980439679631451320104674918400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{534}-59863631689097408153290110738328133618954698673516272544671005005745191298583617175981916160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{530}-179588332850561823098453053918856240947019079983112012452000317234107438936356116738646999040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{526}-528668108507830459434356225842362298787642974040642214427064106798023203394677563276090408960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{522}-1527240961518541963309217991875775242501510863057115934424544786789496476549850556599877238784 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{518}-4329915195056697556312949440220337186282841147670876444969119544159596396494208844750546534400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{514}-12048276899237756277526100217386424946499730080764732139127032133028975722266853222334794301440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{510}-32905539534664622662135546985986130224440649088706860126708662218506761293362359561334040821760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{506}-88213469764317040592550290696704854793213861447634518097875531964431172864210872933718572400640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{502}-232137017807331573096829841049058116156472881643133731961319501798959738941692766551621702254592 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{498}-599677604243012737364994422800203362440788224435074301315407655887217511983017699164228157440000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{494}-1520806883546041341319600976268565303294593366927212902688213255067680974677665296091424227328000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{490}-3786435559719498831472023695060614748437151887954901703475899338784203751783815989906995412992000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{486}-9255574297058104168722977962588587504051090458989506472487538399900358421073699666947072851968000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{482}-22212995059345368924017187566611674664484354116462642055441210688191506158468346128222997740257280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{478}-52342575017370595864692519121803487293065511260603592350406127006631631535695063118655237652480000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{474}-121104189355979547063783323189183226389639993421901785248623860169027711700481840773478118273843200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{470}-275124913266572214478463249341954975920990310947882826372752311276335872074155476580021239073996800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{466}-613728861660495940969890985014949884723108472012755748123800257542019046538011708195368577741619200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{462}-1344333210336375434783539056099392848388241797134512683455872504888090594008840703122666031195095040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{458}-2891529380147607375551801747457587486821833848607036468197004514254504884758194178932605750083584000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{454}-6107223643870148325218048065884128706889504590419314900929682246929490156925451186839519031931699200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{450}-12666583455511417510679511614349725922382186349949495563803037692972631900979776007984353528040652800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{446}-25797475719009687055800121021184081496004538223799608886712703165836672799253435396513009652413235200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{442}-51593892645664807738234520715833330893445727195055659406551336448514476865783732954511900158113873920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{438}-101326428332001931099530949383431832512523468418535709848487818303737721604291145801202340395483136000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{434}-195411095098896499225158640028088836601224959886469175409364089330512907358292025393870474114917990400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{430}-370062544877346814704121546661821439693739204982215161003561765951417088710551507835810146573457817600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{426}-688171282455877159304952764019092821479038997358151132017840054592509505408121607139019805417694822400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{422}-1256632309137437687465111401424359690540447652530164431182664125179225703492499252111108053770027663360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{418}-2253220017721333521162547498850566764681919449386960541880692504924893425631044972049277155914285056000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{414}-3967115083409769540874139853397945661190977857876479925945765438389852521271687211832944197400893849600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{410}-6858238748468841969688845593397471238516515434864939377936097692389006043310256076838172860705302118400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{406}-11641432989678946916607671916346146335368855262550665788592126514704539566671954505998386786370951577600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{402}-19401906867289986840048493405989799469356058652834130711930277353849389578052650729413936687508808007680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{398}-31747771132705916865797364880656064915990982281610976330133016652252568956816823207268191104065863680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{394}-51003298309853220002413371951247794846777129410204576997846812267775251784578643267488873602294480896000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{390}-80442105574594773535089495129146606256996627784144003793497523634110752050482591003380243288654086144000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{386}-124552165716502893706847955053051828334320318363288067222315016276187736493601681185570535067799781376000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{382}-189314088665451333039371529886171810845573283063388951971455229334425675387287877525046406178875289632768 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{378}-282460711509264302028211699635417797938331792483696922309464863468564504991084752558101026934808903680000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{374}-413670754988937880060130385851362111718693246449404576110037906503001303813505077615169142816777982443520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{370}-594634288179221646914265085895082557070026920256259585040924182397824187182393101587067807171472764436480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{366}-838916278564234886692807672033972375046389921588325416725881502877204087410734428346396150995860188037120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{362}-1161540830871582518049049961334089574926489186199152491587956042275710122128471415115423431103359037210624 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{358}-1578227457370858893519621776547413805052258372453716732494214019039696289608737660292065688139331954278400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{354}-2104235917234667561871936179153421248656743461249750619137292007715794809692162004689024329141467815608320 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{350}-2752819997372825596869157644822692254096022891961629925496491174415076593567673841663305567965377598586880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{346}-3533352038436168808816402136829711366272932991484665947212387334324930131560624332619669725736798697553920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{342}-4449253658506341235384230121893247172975751579040878999029475881434359704373974378282857194001970812157952 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{338}-5495943862830473133678897827559873904671374553756248026087295060031380903264312008572113421794469845401600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{334}-6659079340326330755368039010675443252880832251558501802694461350871010551666235149203139408631591222640640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{330}-7913396925250533868884099425926800881231168971476391147901851023424409885843219413482306873754105581404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{326}-9222459725966851035190823813393934311939310557213987897094951981449801783664158994367473207852121551011840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{322}-10539546079577950636810955175333298040079603957888201383150661842046945081295807353182712968495841165705216 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{318}-11809802850457518221731744610524872078525801807011390864865678579763134620540889984223943031463358339481600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{314}-12973621561944590439960976227855380375466149098880521446853783010337601363383372502678205067740811582504960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{310}-13971009013213642555047131371943648437070240654859935986614830929577235727186303507707251525740178272419840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{306}-14746544122660491062785225390825970941245285229756476950041197087312997048090103471693715406579990014197760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{302}-15254374354994286965322929863713638951581102153680946043597867878097213835019893537761146643865878824747008 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{298}-15462639510892408444026656124738363577391848863801297989398580968658123246429428896456928093440810418176000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{294}-15356738347863812910580883799843925805398642842527252434161606944728883938134962382396102366616137970483200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{290}-14940978226344141557053036894702799737573463647895814328416449665599277764830760512379527290934090583244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{286}-14238354294132227784136411372750473421078824932279078303945634234560292015817018272817400466762062050099200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{282}-13288459845110261492389077638766272226061269403228092443950957293399520590874879385924140675905285613682688 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{278}-12143789409593037277338163476287153284040895155932530064613730584535154946680026973298189276326366543872000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{274}-10864914744975129380332359753258061208530176962716860271684791779914969490333484419794394319522809952337920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{270}-9515152888588305189171759095104230726289650673375651308043753686715200832862780943288571654981845862318080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{266}-8155382511299894242832606985496942926599053189141123191742739613483562132198796780081128514637633442283520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{262}-6839598118393739344387616033856727211445319034229282955459359301012535807079908360540012796723449334595584 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{258}-5611639382852006218850843271021446071166526234647577714421289001795999455615754929014489263720976770662400 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{254}-4503328340009223324571996818068615445845838762751526834243216511794726377170550127622767854747784230993920 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{250}-3534030576372158159950821649400661906944732310614580113352095019417909988156282744260320267675135933153280 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{246}-2711466130095634906313196291083969764979977948805503220419253103279618663283301801493442576466967024107520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{242}-2033460118861330313741774111507880411710035931874250589017093158061397144650579061932762310818514004344832 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{238}-1490256382751358269381169727501292331147457399590786314880377012327019919414390434951633284780843964825600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{234}-1067018872630326338502545953039932397226619222433560634909622185500654293758798383922028370805259910512640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{230}-746201921602574911572757550140692637605803982819974999029032783273662891755150427467528511939131117404160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{226}-509561224104992462716306071765248958665916752209342549299346497700200334001274152978390185626855895203840 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{222}-339679785428652130058582832674494536164087677624425983128532977186860002510755603322569764181424688070656 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{218}-220977799565044365843799416646085596640828342845840196429273392486913106106050778967342656183382677913600 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{214}-140249048781178972534424205724300197082612345822893925532106449463633919006954049606121833981532501442560 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{210}-86812926776027674772916269521625900597683369782383731494738200014981252845028936934595048556273587978240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{206}-52391004490623910751102200558573193077160086408989661816222533193730789528177998358150263417089671823360 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{202}-30815201656061551446707402693072114548832090232676677935256012134637715614110605930852913556652742934528 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{198}-17658362934355997919738880146783808918928730187110853088174563949144419597259890553693373721082855424000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{194}-9854777501648049167014679743217034446765294324458585214801773643413394335763584716280040826214337740800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{190}-5354022507326386183041719297588965965206868738089172344403396799520541570548311982164430981212353331200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{186}-2830533381616217810580971644143014092245637593970432806823628733952681667483313747531887077841751244800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{182}-1455526111739449645734502452326218768808779387900236923115426010639586626076977698496646882057703653376 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{178}-727670653247090271721635780349731640703982838986437644079099786299310860865680508866245187671687168000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{174}-353510508153743806581668288061428950098903430542951208009759276327103465191501543096666911511978967040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{170}-166801955388135506607724553293194118579422139084626626238128744549900123762413600169338661644491816960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{166}-76400909014630560882914548010919408275832065311166753636385065747072307716019369535295385382409994240 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{162}-33950751592800042699094746999535352593738870740524612607743302222574258623089997955050485160731475968 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{158}-14628351219664356977962224635819117139663018075072281744884010825946725283238332625964280065084620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{154}-6107505163601800655315103926291299598403084965905754498094430326409093597517939796831169464961597440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{150}-2469259497259049575550260234666029714955280470419393089882060420752086044637586342785720886713384960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{146}-966049393670336535362054636321943450297869636866977879219608228793203731305639554841707276811632640 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{142}-365459169603202723337873475725194105106069904583810796266484186496404571646450223581773064688369664 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{138}-133580457675805126307066772863119219202149013627176143912674076057516175526377141364885722182451200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{134}-47135461159678037834951507730824559502980527367434545057401492157669007391125671431111190857646080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{130}-16042286642862648738531896126350960603946028114091130285493718826765535973380517213560743940587520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{126}-5261212367313034656906348635863632124078787373000265700429386101916356254736967525107285601812480 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{122}-1660985230895830966994225084955150954704890596405475410259649578944752950254571946950858073178112 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{118}-504236794103622406276569716493930291146277667965936923348655114378934196698338969332611232563200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{114}-147023391324235554873575898314670435434770635252024543139431233078422932896010248395079307755520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{110}-41122352649713833020700498655720732349584355432485229075828406320585828964799206851669477294080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{106}-11018524204533593759569138333322994186741891555808981795922420076842585061287849913719319429120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{102}-2824165427181425973326458757278903364368795505566573974877202815812080054543681919632912941056 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{98}-691341258457625921114238254848216397688712567070770273173918438214150703931276495478063104000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{94}-161356057544371361123536879357574631317354875392205426301024618654523658817623068781628620800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{90}-35838991136229003619513519324509583446112454840692980134127013200988105371746449176605491200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{86}-7559868054612621799714860080466065889516703348825204381091194605788052955444927649336524800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{82}-1511062783446065007918909984758217266350386850084459526292806247108720464226883731355336704 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{78}-285483238890244664258248627386778247940749452122512663195315746667054688121459235094528000 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{74}-50840513434051492024340250606569486002913664807032288138677352112720366241036106685480960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{70}-8508105072013612624901733467220259504546434435201684520258778415033755871323047896023040 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{66}-1333359750091685560618928379191234698473694948800263991980853333699319949983462729973760 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{62}-194919334740464757138872379397061642332043055620201193717371358422324124318139963932672 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{58}-26461815231344976903006370413456615916395511088804670860100604031334112648093709107200 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{54}-3319057720716787616819771361477035356048554223523326305509324774417664722132438876160 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{50}-382342433513943671545414838209364366995789334572540040095436922543211377304472125440 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{46}-40168725581430303271390421768509012189723566454124129225133961525460057149365288960 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{42}-3816696184813643433760020141459660294438850500292193009431333221356005430139027456 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{38}-324667314299374213589988345974208555852132136371920659448527555589889877396684800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{34}-24415682126556713097468126287548298405052524541176782745590077630614360052203520 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{30}-1597391288607072551583557558113109936541373709191029857049055510589944501370880 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{26}-89020421414239764903064301438632987117743567732694983380026977225677073285120 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{22}-4104480502011459332234309550658912247289288866138413793861708960051440386048 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{18}-150017562208021174423768623927591821903848277271140855038805152048663756800 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{14}-4055774339264474147247815331990193649013409646654499306732673849549127680 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^{10}-71035246976275193571479668033189380007741119749578386523257840567582720 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^6-556048900009981945765007186169779882643766103714899307422761961390080 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100} x^2+\frac {1684996666696914987166688442938726917102321526408785780068975640576 e^{-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}+\frac {1}{x^2}-1100}}{x^2}-\frac {2 e^{\frac {1}{x^2}-\frac {\left (x^4+2\right )^{220}}{e^{1100} x}}}{x^3}\right )dx\) |
Input:
Int[(E^((1 - (x*(2 + x^4)^220)/E^1100)/x^2)*(-4 - 2*x^4 + ((2 + x^4)^220*( 2*x - 879*x^5))/E^1100))/(2*x^3 + x^7),x]
Output:
$Aborted
Time = 94.91 (sec) , antiderivative size = 22, normalized size of antiderivative = 0.92
method | result | size |
parallelrisch | \({\mathrm e}^{-\frac {x \,{\mathrm e}^{220 \ln \left (x^{4}+2\right )-1100}-1}{x^{2}}}\) | \(22\) |
risch | \(\text {Expression too large to display}\) | \(1553\) |
Input:
int(((-879*x^5+2*x)*exp(220*ln(x^4+2)-1100)-2*x^4-4)*exp((-x*exp(220*ln(x^ 4+2)-1100)+1)/x^2)/(x^7+2*x^3),x,method=_RETURNVERBOSE)
Output:
exp(-(x*exp(220*ln(x^4+2)-1100)-1)/x^2)
Leaf count of result is larger than twice the leaf count of optimal. 1114 vs. \(2 (22) = 44\).
Time = 0.57 (sec) , antiderivative size = 1114, normalized size of antiderivative = 46.42 \[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=\text {Too large to display} \] Input:
integrate(((-879*x^5+2*x)*exp(220*log(x^4+2)-1100)-2*x^4-4)*exp((-x*exp(22 0*log(x^4+2)-1100)+1)/x^2)/(x^7+2*x^3),x, algorithm="fricas")
Output:
e^(-(x^881 + 440*x^877 + 96360*x^873 + 14004320*x^869 + 1519468720*x^865 + 131282097408*x^861 + 9408550314240*x^857 + 575265647784960*x^853 + 306328 95744549120*x^849 + 1443149755076536320*x^845 + 60900919664229832704*x^841 + 2325307841725139066880*x^837 + 80998223153425677496320*x^833 + 25919431 40909621679882240*x^829 + 76647461452613098247946240*x^825 + 2105250274565 106431876923392*x^821 + 53947038285730852316846161920*x^817 + 129472891885 7540455604307886080*x^813 + 29203330058675634720852722319360*x^809 + 62095 5018089734548801289464053760*x^805 + 12481195863603664430905918227480576*x ^801 + 237737064068641227255350823380582400*x^797 + 4300879613605418565801 346713885081600*x^793 + 74049927260336771828579708639064883200*x^789 + 121 5652972523862004185850216824648499200*x^785 + 1906143860917415622563413139 9810488467456*x^781 + 285921579137612343384511970997157327011840*x^777 + 4 108798989088651453081134990625816402984960*x^773 + 56642728921007837888904 218085055897555435520*x^769 + 75002785881610378445997309464349878142369792 0*x^765 + 9550354735591721522123657405127217816795086848*x^761 + 117068864 500801747690548058514462670012326871040*x^757 + 13828759619157206445945989 41202090289520611164160*x^753 + 157564048994033624959869455118783620866590 84779520*x^749 + 173320453893436987455856400630661982953249932574720*x^745 + 1842148824238815980959388029560178790245970711937024*x^741 + 1893319624 9121164248749265859368504233083587872686080*x^737 + 1883085464777456336...
Time = 103.28 (sec) , antiderivative size = 17, normalized size of antiderivative = 0.71 \[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=e^{\frac {- \frac {x \left (x^{4} + 2\right )^{220}}{e^{1100}} + 1}{x^{2}}} \] Input:
integrate(((-879*x**5+2*x)*exp(220*ln(x**4+2)-1100)-2*x**4-4)*exp((-x*exp( 220*ln(x**4+2)-1100)+1)/x**2)/(x**7+2*x**3),x)
Output:
exp((-x*(x**4 + 2)**220*exp(-1100) + 1)/x**2)
Leaf count of result is larger than twice the leaf count of optimal. 1552 vs. \(2 (22) = 44\).
Time = 89.90 (sec) , antiderivative size = 1552, normalized size of antiderivative = 64.67 \[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=\text {Too large to display} \] Input:
integrate(((-879*x^5+2*x)*exp(220*log(x^4+2)-1100)-2*x^4-4)*exp((-x*exp(22 0*log(x^4+2)-1100)+1)/x^2)/(x^7+2*x^3),x, algorithm="maxima")
Output:
e^(-x^879*e^(-1100) - 440*x^875*e^(-1100) - 96360*x^871*e^(-1100) - 140043 20*x^867*e^(-1100) - 1519468720*x^863*e^(-1100) - 131282097408*x^859*e^(-1 100) - 9408550314240*x^855*e^(-1100) - 575265647784960*x^851*e^(-1100) - 3 0632895744549120*x^847*e^(-1100) - 1443149755076536320*x^843*e^(-1100) - 6 0900919664229832704*x^839*e^(-1100) - 2325307841725139066880*x^835*e^(-110 0) - 80998223153425677496320*x^831*e^(-1100) - 2591943140909621679882240*x ^827*e^(-1100) - 76647461452613098247946240*x^823*e^(-1100) - 210525027456 5106431876923392*x^819*e^(-1100) - 53947038285730852316846161920*x^815*e^( -1100) - 1294728918857540455604307886080*x^811*e^(-1100) - 292033300586756 34720852722319360*x^807*e^(-1100) - 620955018089734548801289464053760*x^80 3*e^(-1100) - 12481195863603664430905918227480576*x^799*e^(-1100) - 237737 064068641227255350823380582400*x^795*e^(-1100) - 4300879613605418565801346 713885081600*x^791*e^(-1100) - 74049927260336771828579708639064883200*x^78 7*e^(-1100) - 1215652972523862004185850216824648499200*x^783*e^(-1100) - 1 9061438609174156225634131399810488467456*x^779*e^(-1100) - 285921579137612 343384511970997157327011840*x^775*e^(-1100) - 4108798989088651453081134990 625816402984960*x^771*e^(-1100) - 5664272892100783788890421808505589755543 5520*x^767*e^(-1100) - 750027858816103784459973094643498781423697920*x^763 *e^(-1100) - 9550354735591721522123657405127217816795086848*x^759*e^(-1100 ) - 117068864500801747690548058514462670012326871040*x^755*e^(-1100) - ...
Leaf count of result is larger than twice the leaf count of optimal. 1114 vs. \(2 (22) = 44\).
Time = 0.20 (sec) , antiderivative size = 1114, normalized size of antiderivative = 46.42 \[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=\text {Too large to display} \] Input:
integrate(((-879*x^5+2*x)*exp(220*log(x^4+2)-1100)-2*x^4-4)*exp((-x*exp(22 0*log(x^4+2)-1100)+1)/x^2)/(x^7+2*x^3),x, algorithm="giac")
Output:
e^(-(x^881 + 440*x^877 + 96360*x^873 + 14004320*x^869 + 1519468720*x^865 + 131282097408*x^861 + 9408550314240*x^857 + 575265647784960*x^853 + 306328 95744549120*x^849 + 1443149755076536320*x^845 + 60900919664229832704*x^841 + 2325307841725139066880*x^837 + 80998223153425677496320*x^833 + 25919431 40909621679882240*x^829 + 76647461452613098247946240*x^825 + 2105250274565 106431876923392*x^821 + 53947038285730852316846161920*x^817 + 129472891885 7540455604307886080*x^813 + 29203330058675634720852722319360*x^809 + 62095 5018089734548801289464053760*x^805 + 12481195863603664430905918227480576*x ^801 + 237737064068641227255350823380582400*x^797 + 4300879613605418565801 346713885081600*x^793 + 74049927260336771828579708639064883200*x^789 + 121 5652972523862004185850216824648499200*x^785 + 1906143860917415622563413139 9810488467456*x^781 + 285921579137612343384511970997157327011840*x^777 + 4 108798989088651453081134990625816402984960*x^773 + 56642728921007837888904 218085055897555435520*x^769 + 75002785881610378445997309464349878142369792 0*x^765 + 9550354735591721522123657405127217816795086848*x^761 + 117068864 500801747690548058514462670012326871040*x^757 + 13828759619157206445945989 41202090289520611164160*x^753 + 157564048994033624959869455118783620866590 84779520*x^749 + 173320453893436987455856400630661982953249932574720*x^745 + 1842148824238815980959388029560178790245970711937024*x^741 + 1893319624 9121164248749265859368504233083587872686080*x^737 + 1883085464777456336...
Time = 3.68 (sec) , antiderivative size = 1773, normalized size of antiderivative = 73.88 \[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=\text {Too large to display} \] Input:
int(-(exp(-(x*exp(220*log(x^4 + 2) - 1100) - 1)/x^2)*(2*x^4 - exp(220*log( x^4 + 2) - 1100)*(2*x - 879*x^5) + 4))/(2*x^3 + x^7),x)
Output:
exp(-(1684996666696914987166688442938726917102321526408785780068975640576* exp(-1100))/x)*exp(-185349633336660648588335728723259960881255367904966435 807587320463360*x^3*exp(-1100))*exp(-1014789242518217051021138114759848285 8248731392796912360465405795368960*x^7*exp(-1100))*exp(-368706758114952195 204346848362744877183037240604954482430243077231738880*x^11*exp(-1100))*ex p(-10001170813868078294917908261839454793589885151409390335920343469910917 120*x^15*exp(-1100))*exp(-216025289579550491170226818455732223541541519270 442831255879418950075809792*x^19*exp(-1100))*exp(-387045310496694630013323 0497331869005119285553595434060001172922855524925440*x^23*exp(-1100))*exp( -5916264031878046487346509474492999764968050774781592063144650039222016671 7440*x^27*exp(-1100))*exp(-78760264924376493862800407379188059371137175939 2799443406131536471430969425920*x^31*exp(-1100))*exp(-92762089799821203882 85381313548815881489489610626304555672215873996853639905280*x^35*exp(-1100 ))*exp(-978640047388113700964107728579400075497141153921075130623418774706 66805901000704*x^39*exp(-1100))*exp(-9341564088704721691021028318257909811 56362010561026261049627012220001329055006720*x^43*exp(-1100))*exp(-8134945 39391369513926414549381626312756998584196893702330716856474917824052068352 0*x^47*exp(-1100))*exp(-65079563151309561114113163950530105020559886735751 496186457348517993425924165468160*x^51*exp(-1100))*exp(-481123913297181398 236479462062847562116282019796448561092738255115165684510794711040*x^55...
\[ \int \frac {e^{\frac {1-\frac {x \left (2+x^4\right )^{220}}{e^{1100}}}{x^2}} \left (-4-2 x^4+\frac {\left (2+x^4\right )^{220} \left (2 x-879 x^5\right )}{e^{1100}}\right )}{2 x^3+x^7} \, dx=\int \frac {\left (\left (-879 x^{5}+2 x \right ) {\mathrm e}^{220 \,\mathrm {log}\left (x^{4}+2\right )-1100}-2 x^{4}-4\right ) {\mathrm e}^{\frac {-x \,{\mathrm e}^{220 \,\mathrm {log}\left (x^{4}+2\right )-1100}+1}{x^{2}}}}{x^{7}+2 x^{3}}d x \] Input:
int(((-879*x^5+2*x)*exp(220*log(x^4+2)-1100)-2*x^4-4)*exp((-x*exp(220*log( x^4+2)-1100)+1)/x^2)/(x^7+2*x^3),x)
Output:
int(((-879*x^5+2*x)*exp(220*log(x^4+2)-1100)-2*x^4-4)*exp((-x*exp(220*log( x^4+2)-1100)+1)/x^2)/(x^7+2*x^3),x)