integrate(cos(d*x+c)^5/(a+a*sin(d*x+c))^(1/2),x)


1/sqrt(2*a)*4*((-3623272117765842866870770455744554822680271104000569003251113821531229146859923591414846489132096462486847500202394475559364416737215122574616288547137535608334940301912664437425521640240568748964175095753128677309037769979912679079624904119204603515523099068463635015403569152000*tan(1/2*c)^2*tan(1/2*(1/2*d*x+2*c))+1145644136284056982667710277435421143933190482407798961027971227379398168340471078428313366087481929091079400063995205605437129863576591137878674092999677925683047790700004374500260175771303642529624887419084496063429085365077151861367112540548503206813017991171358881060938055680*tan(1/2*c)^2*tan(1/4*c)-355306115583935808953940797046879367144966673949638019945478112703400177316966018315454101938713672659154681086513918705519184403955175397717039068906855936276898323650671236210474264312301817231758041389764582827318263808163526005390417264382801653184451812651473968799397110087680*tan(1/2*c)^3*tan(1/4*c)+112321435650741128872993884128081199503088404224017639100784528467468103552657631333860241163094990337092272506274228742340296918853668799813104944961263603858383149359292597560191170847457631217889427968346988996580170869377293051468372027695342708981216071122372685477510643712000*tan(1/2*c)^4*tan(1/2*(1/2*d*x+2*c))+2320923187756088306802740723131732037216074458378604480722533469520044142312592655716694067078455710010575034729645805264306470785190518916396209791754419809275029359793176332037292141872498717836491999335624105537077233938332865711244528582597700827903476339295066045466910256005120*tan(1/2*c)^4*tan(1/4*c)+375660853169962588437161480851595444015490508062778994257075481016357837946436877957891283993215761230636348820984259225994902727314463908536216796567219691872166610502305048872278083660142167892605673927684381263401035991517346566975510059079133292489434911418309678397042049679360*tan(1/2*c)^5*tan(1/2*(1/2*d*x+2*c))+23816202422729017065085598698063648196056143599128220126649961282583352929807900957200755754643965899501547040530363175188769434943723466497661818574960678057858562797308172866930444803898087255191398605396805171393582346610363629111864049764026163459955192948899688592449508464394240*tan(1/2*c)^5*tan(1/4*c)-1848110331535097584961884317126772596555116947780556896258284789902362280175018359860999365889978002299124681603234675500313143497095526854559281578276618995958041883328919707382844404632039433221660243840479167339429865207754127175880676094402294766484482064854351433523513838796800*tan(1/2*c)^6*tan(1/2*(1/2*d*x+2*c))-66015728123924235766956088042029329304848725093202047193715033739193272557456059041691189844267666978793362505887611153133574923798720556099702808025762127781013945505624593036738010243451943360627353110614344250276483446012410619816439383059578339684549623179481952889851797663907840*tan(1/2*c)^6*tan(1/4*c)-6261014219499376473952691347526590733591508467712983237617924683605963965773947965964854733220262687177272480349737653766581712121907731808936946609453661531202776841705084147871301394335702798210094565461406354390017266525289109449591834317985554874823915190305161306617367494656000*tan(1/2*c)^7*tan(1/2*(1/2*d*x+2*c))-373432727157245508745954824660935981090933022033475421492196213216255525055759863459527283308790391556882151217659797032384636664048223093501988759376998245974871908013558572894575312592507144769814081544229703002045096513493584950565036266612320020421283289536299492420941075405864960*tan(1/2*c)^7*tan(1/4*c)+17243152008447646203437996598888336401135410183938707886472050676667119509906376371543254441779647064974907253463195309187015259252406768332598917195827531960065980896802370057708057485904866676320509280689139375313710747334404439739934918703294708130374428466818439038305585594368000*tan(1/2*c)^8*tan(1/2*(1/2*d*x+2*c))+666277629682924013363870600256526578036562817903272998798722044548090214278484445120704910507055998398732979585417991653291186253838755352561553923641993496958924931415601330845606438148719168266880982211030295964391208283168003726233031541493278231284408924499003879140594476426199040*tan(1/2*c)^8*tan(1/4*c)+43618399062512322768537083054435248777354175658400449888738208629121548961558504162888487974767830054001664946436505654573852594449290531602260728045860508667379345330545419563503399713872062827530325472714464268917120290126180795832156445748632698961273275825792623769434326879436800*tan(1/2*c)^9*tan(1/2*(1/2*d*x+2*c))+2611546272213269994549221880411323267471638063014887164350025693086124860632145422822674461534564645723751118786679890050746870995670806197796848250805826154757113429535874420058802985745417013219979790011422436161136092821453545042290009640559207581951046901161567057186470452013301760*tan(1/2*c)^9*tan(1/4*c)-9083180872027191482958334455506024484977171630619026434250217239196638348263142451317878663605252621808277998257382710779770656318524590782305573758819088016534861842864858478182040199919081796778290547543518281146026785562643095184711672136434020553064857054731486620115207507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an(1/4*c)^2-(15225*sqrt(2)-15225)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^8-(36225*sqrt(2)-36225)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^4-(36225*sqrt(2)-36225)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^4-(36855*sqrt(2)-36855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^2-(36855*sqrt(2)-36855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^2-(41325*sqrt(2)-41325)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^6-(41325*sqrt(2)-41325)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^6-(60291*sqrt(2)-60291)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^10-(81081*sqrt(2)-81081)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^2-(81081*sqrt(2)-81081)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^2-(135135*sqrt(2)-135135)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^2-(135135*sqrt(2)-135135)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^2-(156975*sqrt(2)-156975)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^4-(156975*sqrt(2)-156975)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^4-(166257*sqrt(2)-166257)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^12-(173745*sqrt(2)-173745)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^2-(173745*sqrt(2)-173745)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^2-(228375*sqrt(2)-228375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^8-(228375*sqrt(2)-228375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^8-(254475*sqrt(2)-254475)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^14-(289275*sqrt(2)-289275)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^6-(289275*sqrt(2)-289275)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^6-(470925*sqrt(2)-470925)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^4-(470925*sqrt(2)-470925)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^4-(904365*sqrt(2)-904365)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^10-(904365*sqrt(2)-904365)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^10-(1036035*sqrt(2)-1036035)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^4-(1036035*sqrt(2)-1036035)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^4-(1253525*sqrt(2)-1253525)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^6-(1253525*sqrt(2)-1253525)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^6-(1598625*sqrt(2)-1598625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^8-(1598625*sqrt(2)-1598625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^8-(1726725*sqrt(2)-1726725)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^4-(1726725*sqrt(2)-1726725)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^4-(2220075*sqrt(2)-2220075)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^4-(2220075*sqrt(2)-2220075)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^4-(2493855*sqrt(2)-2493855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^12-(2493855*sqrt(2)-2493855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^12-(3760575*sqrt(2)-3760575)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^6-(3760575*sqrt(2)-3760575)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^6-(3817125*sqrt(2)-3817125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^14-(3817125*sqrt(2)-3817125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^14-(6330555*sqrt(2)-6330555)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^10-(6330555*sqrt(2)-6330555)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^10-(6927375*sqrt(2)-6927375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^8-(6927375*sqrt(2)-6927375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^8-(8273265*sqrt(2)-8273265)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^6-(8273265*sqrt(2)-8273265)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^6-(13788775*sqrt(2)-13788775)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^6-(13788775*sqrt(2)-13788775)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^6-(17456985*sqrt(2)-17456985)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^12-(17456985*sqrt(2)-17456985)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^12-(17728425*sqrt(2)-17728425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^6-(17728425*sqrt(2)-17728425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^6-(20782125*sqrt(2)-20782125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^8-(20782125*sqrt(2)-20782125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^8-(26719875*sqrt(2)-26719875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^14-(26719875*sqrt(2)-26719875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^14-(27432405*sqrt(2)-27432405)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^10-(27432405*sqrt(2)-27432405)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^10-(45720675*sqrt(2)-45720675)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^8-(45720675*sqrt(2)-45720675)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^8-(75646935*sqrt(2)-75646935)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^12-(75646935*sqrt(2)-75646935)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^12-(76201125*sqrt(2)-76201125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^8-(76201125*sqrt(2)-76201125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^8-(82297215*sqrt(2)-82297215)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^10-(82297215*sqrt(2)-82297215)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^10-(97972875*sqrt(2)-97972875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^8-(97972875*sqrt(2)-97972875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^8-(115786125*sqrt(2)-115786125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^14-(115786125*sqrt(2)-115786125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^14-(181053873*sqrt(2)-181053873)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^10-(181053873*sqrt(2)-181053873)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^10-(226940805*sqrt(2)-226940805)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^12-(226940805*sqrt(2)-226940805)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^12-(301756455*sqrt(2)-301756455)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^10-(301756455*sqrt(2)-301756455)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^10-(347358375*sqrt(2)-347358375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^14-(347358375*sqrt(2)-347358375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^14-(387972585*sqrt(2)-387972585)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^10-(387972585*sqrt(2)-387972585)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^10-(499269771*sqrt(2)-499269771)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^12-(499269771*sqrt(2)-499269771)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^12-(764188425*sqrt(2)-764188425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^14-(764188425*sqrt(2)-764188425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^14-(832116285*sqrt(2)-832116285)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^12-(832116285*sqrt(2)-832116285)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^12-(1069863795*sqrt(2)-1069863795)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^12-(1069863795*sqrt(2)-1069863795)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^12-(1273647375*sqrt(2)-1273647375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^14-(1273647375*sqrt(2)-1273647375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^14-(1637546625*sqrt(2)-1637546625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^14-(1637546625*sqrt(2)-1637546625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^14-(-3*sqrt(2)+3)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^62-(-45*sqrt(2)+45)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^62-(-45*sqrt(2)+45)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^62-(-89*sqrt(2)+89)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^60-(-315*sqrt(2)+315)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^62-(-315*sqrt(2)+315)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^62-(-1275*sqrt(2)+1275)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^58-(-1335*sqrt(2)+1335)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^60-(-1335*sqrt(2)+1335)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^60-(-1365*sqrt(2)+1365)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^62-(-1365*sqrt(2)+1365)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^62-(-4095*sqrt(2)+4095)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^62-(-4095*sqrt(2)+4095)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^62-(-9009*sqrt(2)+9009)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^62-(-9009*sqrt(2)+9009)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^62-(-9345*sqrt(2)+9345)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^60-(-9345*sqrt(2)+9345)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^60-(-11745*sqrt(2)+11745)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^56-(-15015*sqrt(2)+15015)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^62-(-15015*sqrt(2)+15015)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^62-(-19125*sqrt(2)+19125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^58-(-19125*sqrt(2)+19125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^58-(-19305*sqrt(2)+19305)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^62-(-19305*sqrt(2)+19305)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^62-(-40495*sqrt(2)+40495)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^60-(-40495*sqrt(2)+40495)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^60-(-78155*sqrt(2)+78155)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^54-(-121485*sqrt(2)+121485)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^60-(-121485*sqrt(2)+121485)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^60-(-133875*sqrt(2)+133875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^58-(-133875*sqrt(2)+133875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^58-(-176175*sqrt(2)+176175)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^56-(-176175*sqrt(2)+176175)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^56-(-254475*sqrt(2)+254475)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^16-(-267267*sqrt(2)+267267)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^60-(-267267*sqrt(2)+267267)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^60-(-400113*sqrt(2)+400113)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^52-(-445445*sqrt(2)+445445)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^60-(-445445*sqrt(2)+445445)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^60-(-572715*sqrt(2)+572715)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^60-(-572715*sqrt(2)+572715)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^60-(-580125*sqrt(2)+580125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^58-(-580125*sqrt(2)+580125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^58-(-1172325*sqrt(2)+1172325)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^54-(-1172325*sqrt(2)+1172325)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^54-(-1233225*sqrt(2)+1233225)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^56-(-1233225*sqrt(2)+1233225)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^56-(-1638819*sqrt(2)+1638819)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^50-(-1740375*sqrt(2)+1740375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^58-(-1740375*sqrt(2)+1740375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^58-(-3251625*sqrt(2)+3251625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^18-(-3817125*sqrt(2)+3817125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^16-(-3817125*sqrt(2)+3817125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^16-(-3828825*sqrt(2)+3828825)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^58-(-3828825*sqrt(2)+3828825)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^58-(-5343975*sqrt(2)+5343975)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^56-(-5343975*sqrt(2)+5343975)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^56-(-5513625*sqrt(2)+5513625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^48-(-6001695*sqrt(2)+6001695)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^52-(-6001695*sqrt(2)+6001695)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^52-(-6381375*sqrt(2)+6381375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^58-(-6381375*sqrt(2)+6381375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^58-(-8204625*sqrt(2)+8204625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^58-(-8204625*sqrt(2)+8204625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^58-(-8206275*sqrt(2)+8206275)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^54-(-8206275*sqrt(2)+8206275)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^54-(-12876435*sqrt(2)+12876435)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^20-(-15522975*sqrt(2)+15522975)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^46-(-16031925*sqrt(2)+16031925)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^56-(-16031925*sqrt(2)+16031925)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^56-(-24582285*sqrt(2)+24582285)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^50-(-24582285*sqrt(2)+24582285)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^50-(-26719875*sqrt(2)+26719875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^16-(-26719875*sqrt(2)+26719875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^16-(-35270235*sqrt(2)+35270235)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^56-(-35270235*sqrt(2)+35270235)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^56-(-35507745*sqrt(2)+35507745)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^22-(-35560525*sqrt(2)+35560525)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^54-(-35560525*sqrt(2)+35560525)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^54-(-37068525*sqrt(2)+37068525)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^44-(-42011865*sqrt(2)+42011865)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^52-(-42011865*sqrt(2)+42011865)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^52-(-48774375*sqrt(2)+48774375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^18-(-48774375*sqrt(2)+48774375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^18-(-58783725*sqrt(2)+58783725)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^56-(-58783725*sqrt(2)+58783725)*sign(cos(1/2*(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))*tan(1/2*c)^26*tan(1/4*c)^4+(-36855*sqrt(2)-36855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^2+(-36855*sqrt(2)-36855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^2+(-41325*sqrt(2)-41325)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^6+(-41325*sqrt(2)-41325)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^6+(-60291*sqrt(2)-60291)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^10+(-81081*sqrt(2)-81081)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^2+(-81081*sqrt(2)-81081)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^2+(-135135*sqrt(2)-135135)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^2+(-135135*sqrt(2)-135135)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^2+(-156975*sqrt(2)-156975)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^4+(-156975*sqrt(2)-156975)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^4+(-166257*sqrt(2)-166257)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^12+(-173745*sqrt(2)-173745)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^2+(-173745*sqrt(2)-173745)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^2+(-228375*sqrt(2)-228375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^8+(-228375*sqrt(2)-228375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^8+(-254475*sqrt(2)-254475)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^30*tan(1/4*c)^14+(-289275*sqrt(2)-289275)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^6+(-289275*sqrt(2)-289275)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^6+(-470925*sqrt(2)-470925)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^4+(-470925*sqrt(2)-470925)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^4+(-904365*sqrt(2)-904365)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^10+(-904365*sqrt(2)-904365)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^10+(-1036035*sqrt(2)-1036035)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^4+(-1036035*sqrt(2)-1036035)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^4+(-1253525*sqrt(2)-1253525)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^6+(-1253525*sqrt(2)-1253525)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^6+(-1598625*sqrt(2)-1598625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^8+(-1598625*sqrt(2)-1598625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^8+(-1726725*sqrt(2)-1726725)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^4+(-1726725*sqrt(2)-1726725)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^4+(-2220075*sqrt(2)-2220075)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^4+(-2220075*sqrt(2)-2220075)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^4+(-2493855*sqrt(2)-2493855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^12+(-2493855*sqrt(2)-2493855)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^12+(-3760575*sqrt(2)-3760575)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^6+(-3760575*sqrt(2)-3760575)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^6+(-3817125*sqrt(2)-3817125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^2*tan(1/4*c)^14+(-3817125*sqrt(2)-3817125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^28*tan(1/4*c)^14+(-6330555*sqrt(2)-6330555)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^10+(-6330555*sqrt(2)-6330555)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^10+(-6927375*sqrt(2)-6927375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^8+(-6927375*sqrt(2)-6927375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^8+(-8273265*sqrt(2)-8273265)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^6+(-8273265*sqrt(2)-8273265)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^6+(-13788775*sqrt(2)-13788775)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^6+(-13788775*sqrt(2)-13788775)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^6+(-17456985*sqrt(2)-17456985)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^12+(-17456985*sqrt(2)-17456985)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^12+(-17728425*sqrt(2)-17728425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^6+(-17728425*sqrt(2)-17728425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^6+(-20782125*sqrt(2)-20782125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^8+(-20782125*sqrt(2)-20782125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^8+(-26719875*sqrt(2)-26719875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^4*tan(1/4*c)^14+(-26719875*sqrt(2)-26719875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^26*tan(1/4*c)^14+(-27432405*sqrt(2)-27432405)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^10+(-27432405*sqrt(2)-27432405)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^10+(-45720675*sqrt(2)-45720675)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^8+(-45720675*sqrt(2)-45720675)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^8+(-75646935*sqrt(2)-75646935)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^12+(-75646935*sqrt(2)-75646935)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^12+(-76201125*sqrt(2)-76201125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^8+(-76201125*sqrt(2)-76201125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^8+(-82297215*sqrt(2)-82297215)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^10+(-82297215*sqrt(2)-82297215)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^10+(-97972875*sqrt(2)-97972875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^8+(-97972875*sqrt(2)-97972875)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^8+(-115786125*sqrt(2)-115786125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^6*tan(1/4*c)^14+(-115786125*sqrt(2)-115786125)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^24*tan(1/4*c)^14+(-181053873*sqrt(2)-181053873)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^10+(-181053873*sqrt(2)-181053873)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^10+(-226940805*sqrt(2)-226940805)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^12+(-226940805*sqrt(2)-226940805)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^12+(-301756455*sqrt(2)-301756455)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^10+(-301756455*sqrt(2)-301756455)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^10+(-347358375*sqrt(2)-347358375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^8*tan(1/4*c)^14+(-347358375*sqrt(2)-347358375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^22*tan(1/4*c)^14+(-387972585*sqrt(2)-387972585)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^10+(-387972585*sqrt(2)-387972585)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^10+(-499269771*sqrt(2)-499269771)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^12+(-499269771*sqrt(2)-499269771)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^12+(-764188425*sqrt(2)-764188425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^10*tan(1/4*c)^14+(-764188425*sqrt(2)-764188425)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^20*tan(1/4*c)^14+(-832116285*sqrt(2)-832116285)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^12+(-832116285*sqrt(2)-832116285)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^12+(-1069863795*sqrt(2)-1069863795)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^12+(-1069863795*sqrt(2)-1069863795)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^12+(-1273647375*sqrt(2)-1273647375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^12*tan(1/4*c)^14+(-1273647375*sqrt(2)-1273647375)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^18*tan(1/4*c)^14+(-1637546625*sqrt(2)-1637546625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^14*tan(1/4*c)^14+(-1637546625*sqrt(2)-1637546625)*sign(cos(1/2*(d*x+c)-1/4*pi))*tan(1/2*c)^16*tan(1/4*c)^14))/d