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3.10
Integrals 901 to 1000
3.10.1
\(\int \genfrac {}{}{}{}{(4+2 x) \log (x)+(-4-x) \log ^2(x)}{96 x^3} \, dx\) [901]
3.10.2
\(\int \genfrac {}{}{}{}{(-40-2 x^2+4 x^3+x^5+8 x^6) \log (\genfrac {}{}{}{}{2-x^3}{x})+(16 x^2+16 x^5) \log (\log (\genfrac {}{}{}{}{2-x^3}{x}))+(-8 x^2+4 x^5) \log (\genfrac {}{}{}{}{2-x^3}{x}) \log ^2(\log (\genfrac {}{}{}{}{2-x^3}{x}))}{(-8 x^2+4 x^5) \log (\genfrac {}{}{}{}{2-x^3}{x})} \, dx\) [902]
3.10.3
\(\int \genfrac {}{}{}{}{-5+e^x (-5-2 x)+3 x-5 x^2-2 x^3+(-10 x-4 x^2) \log (e^x (5 x+2 x^2))}{5+2 x} \, dx\) [903]
3.10.4
\(\int (1+2 x^2 \log (x)+3 x^2 \log (e^{\log ^2(x)} (28+\log (3)))) \, dx\) [904]
3.10.5
\(\int \genfrac {}{}{}{}{96+e^3 (-48-8 x)+16 x+4 e^{4+2 x^2} x^2+e^6 (6+x)+e^{2+x^2} (8+48 x^2+e^3 (-2-12 x^2))+(32-16 e^3+2 e^6+e^{2+x^2} (16 x^2-4 e^3 x^2)) \log (x)}{16 x-8 e^3 x+e^6 x} \, dx\) [905]
3.10.6
\(\int \genfrac {}{}{}{}{8+16 x+96 x^2+128 x^3+2 \log (x^2)}{4 x^2+16 x^3+80 x^4+192 x^5+384 x^6+512 x^7+256 x^8+(4 x^2+8 x^3+32 x^4+32 x^5) \log (x^2)+x^2 \log ^2(x^2)} \, dx\) [906]
3.10.7
\(\int \genfrac {}{}{}{}{e^{e^{e^3+x}} (2 x+e^{e^3+x} x^2)}{\log (5)} \, dx\) [907]
3.10.8
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-4 x+(2-x) \log ^2(3)}{\log ^2(3)}} \log ^2(3)+(2+x) \log ^2(3)+e^{\genfrac {}{}{}{}{-4 x+(2-x) \log ^2(3)}{\log ^2(3)}} (-8-4 x+(-2-x) \log ^2(3)) \log (4+2 x)}{(2+x) \log ^2(3)} \, dx\) [908]
3.10.9
\(\int \genfrac {}{}{}{}{-864+3096 x+1438 x^2-1719 x^3-4 x^4+4 x^5}{432 x^2-1764 x^3+1873 x^4-148 x^5+4 x^6} \, dx\) [909]
3.10.10
\(\int \genfrac {}{}{}{}{1-e^{16}}{x^2} \, dx\) [910]
3.10.11
\(\int \genfrac {}{}{}{}{50 x^2+20 x^3-10 x^4+e^4 (-100 x-30 x^2)+e^2 (-100 x^2-40 x^3)+(-10 x^2-4 x^3+2 x^4+e^4 (20 x+6 x^2)+e^2 (20 x^2+8 x^3)) \log (9)}{e^8+4 e^6 x+x^2-2 x^3+x^4+e^4 (-2 x+6 x^2)+e^2 (-4 x^2+4 x^3)} \, dx\) [911]
3.10.12
\(\int \genfrac {}{}{}{}{5+3 x}{90 x+3 x^2+5 x \log (x)} \, dx\) [912]
3.10.13
\(\int \genfrac {}{}{}{}{2562890625 e^{16+\log ^2(\genfrac {}{}{}{}{15 x}{20+5 x+\log (4)})} x^8 (160+8 \log (4)+(40+2 \log (4)) \log (\genfrac {}{}{}{}{15 x}{20+5 x+\log (4)}))}{(20+5 x+\log (4))^8 (100 x+25 x^2+5 x \log (4))} \, dx\) [913]
3.10.14
\(\int \genfrac {}{}{}{}{e^2 (-6 x-30 x^2-2 x^3)+2 \log (x)-\log ^2(x)}{e^2 x^2} \, dx\) [914]
3.10.15
\(\int \genfrac {}{}{}{}{-152587890625-3784179687500 x-43945312500000 x^2-317187500000000 x^3-1592500000000000 x^4-5896800000000000 x^5-16656640000000000 x^6-36608000000000000 x^7-63258624000000000 x^8-86219161600000000 x^9-92366962688000000 x^{10}-76947023462400000 x^{11}-48855252992000000 x^{12}-22849226014720000 x^{13}-7421703487488000 x^{14}-1495335813775360 x^{15}-140737488355328 x^{16}+(732421875000 x^2+15859375000000 x^3+159250000000000 x^4+982800000000000 x^5+4164160000000000 x^6+12812800000000000 x^7+29520691200000000 x^8+51731496960000000 x^9+69275222016000000 x^{10}+70534771507200000 x^{11}+53740778291200000 x^{12}+29703993819136000 x^{13}+11256250289356800 x^{14}+2616837674106880 x^{15}+281474976710656 x^{16}) \log (4)+(-1531250000000 x^4-28350000000000 x^5-240240000000000 x^6-1232000000000000 x^7-4257792000000000 x^8-10445783040000000 x^9-18651021312000000 x^{10}-24415882444800000 x^{11}-23253221376000000 x^{12}-15708842885120000 x^{13}-7143389606707200 x^{14}-1962628255580160 x^{15}-246290604621824 x^{16}) \log ^2(4)+(1820000000000 x^6+28000000000000 x^7+193536000000000 x^8+791347200000000 x^9+2119434240000000 x^{10}+3884344934400000 x^{11}+4932501504000000 x^{12}+4284229877760000 x^{13}+2435246456832000 x^{14}+817761773158400 x^{15}+123145302310912 x^{16}) \log ^3(4)+(-1344000000000 x^8-16486400000000 x^9-88309760000000 x^{10}-269746176000000 x^{11}-513802240000000 x^{12}-624783523840000 x^{13}-473520144384000 x^{14}-204440443289600 x^{15}-38482906972160 x^{16}) \log ^4(4)+(630784000000 x^{10}+5780275200000 x^{11}+22020096000000 x^{12}+44627394560000 x^{13}+50734301184000 x^{14}+30666066493440 x^{15}+7696581394432 x^{16}) \log ^5(4)+(-183500800000 x^{12}-1115684864000 x^{13}-2536715059200 x^{14}-2555505541120 x^{15}-962072674304 x^{16}) \log ^6(4)+(30198988800 x^{14}+91268055040 x^{15}+68719476736 x^{16}) \log ^7(4)-2147483648 x^{16} \log ^8(4)}{134217728 x^{33}} \, dx\) [915]
3.10.16
\(\int \genfrac {}{}{}{}{100-25 x^2+7 x^4+(10 x^6-2 x^8) \log (x)+(25 x^6-3 x^8) \log ^2(x)}{25 x^2-10 x^4+x^6} \, dx\) [916]
3.10.17
\(\int e^{9-5 x-3 x^2+2 x^3+x^4+x \log (x)} (-4-6 x+6 x^2+4 x^3+\log (x)) \, dx\) [917]
3.10.18
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{9-24 x+16 x^2}{4 e x^2}} (3-4 x)+e^{\genfrac {}{}{}{}{9-24 x+16 x^2}{2 e x^2}} (-3+4 x)}{e x^3} \, dx\) [918]
3.10.19
\(\int \genfrac {}{}{}{}{e^{5 e^{5+x}}+e^{4 e^{5+x}} (7 x^2-4 e^{5+x} x^3)}{e^{5 e^{5+x}}-5 e^{4 e^{5+x}} x^2+10 e^{3 e^{5+x}} x^4-10 e^{2 e^{5+x}} x^6+5 e^{e^{5+x}} x^8-x^{10}} \, dx\) [919]
3.10.20
\(\int \genfrac {}{}{}{}{-72+e^{e^x} (e^{2+x} (468+444 x+144 x^2+16 x^3)+e^x (468+444 x+144 x^2+16 x^3) \log (\genfrac {}{}{}{}{39+24 x+4 x^2}{9+6 x+x^2}))}{e^2 (117+111 x+36 x^2+4 x^3)+(117+111 x+36 x^2+4 x^3) \log (\genfrac {}{}{}{}{39+24 x+4 x^2}{9+6 x+x^2})} \, dx\) [920]
3.10.21
\(\int \genfrac {}{}{}{}{2-x-2 e^x x-4 x^2}{2 x} \, dx\) [921]
3.10.22
\(\int \genfrac {}{}{}{}{(-x+6 x^2-3 x^3) \log (2)+(-x+2 x^2-x^3) \log (2) \log (4)+((1+3 x-3 x^2) \log (2)+(x-x^2) \log (2) \log (4)) \log (x)+((x-x^2) \log (2)-x \log (2) \log (x)) \log (-x+x^2+x \log (x))}{e^x (-2 x+2 x^2)+2 e^x x \log (x)} \, dx\) [922]
3.10.23
\(\int \genfrac {}{}{}{}{8 x^2 \log (4) \log (x)+(-8 e^{e^5}-2 x^2 \log (4)) \log (\log (x))+2 x^2 \log (4) \log (x) \log ^2(\log (x))}{16 e^{e^5} x \log (x)+8 e^{e^5} x \log (x) \log ^2(\log (x))+e^{e^5} x \log (x) \log ^4(\log (x))} \, dx\) [923]
3.10.24
\(\int \genfrac {}{}{}{}{390625+781250 x+12 x^{11} \log ^4(9)}{390625} \, dx\) [924]
3.10.25
\(\int \genfrac {}{}{}{}{1}{15} (90 x+75 x^2+e^{\genfrac {}{}{}{}{-10+x^2}{5 x}} (10 x^2+20 x^3+x^4)) \, dx\) [925]
3.10.26
\(\int \genfrac {}{}{}{}{e^{-x+x^{\genfrac {}{}{}{}{e^3+4 x}{x}}} (x^2+x^{\genfrac {}{}{}{}{e^3+4 x}{x}} (-e^3-4 x+e^3 \log (x)))}{x^2} \, dx\) [926]
3.10.27
\(\int \genfrac {}{}{}{}{12-12 x^2}{e (16-1160 x+21057 x^2-1160 x^3+16 x^4)} \, dx\) [927]
3.10.28
\(\int e^{-x+\genfrac {}{}{}{}{e^{-x} (-40 x-8 e x+e^x (e^5+20 x^2+4 e x^2))}{5+e}} (-8+8 x+8 e^x x) \, dx\) [928]
3.10.29
\(\int \genfrac {}{}{}{}{-24+546 x^2+3380 x^4+(-1+47 x^2+260 x^4) \log (\genfrac {}{}{}{}{1+5 x^2}{x^2})+(x^2+5 x^4) \log ^2(\genfrac {}{}{}{}{1+5 x^2}{x^2})}{e^4 (676 x^2+3380 x^4)+e^4 (52 x^2+260 x^4) \log (\genfrac {}{}{}{}{1+5 x^2}{x^2})+e^4 (x^2+5 x^4) \log ^2(\genfrac {}{}{}{}{1+5 x^2}{x^2})} \, dx\) [929]
3.10.30
\(\int \genfrac {}{}{}{}{-80 x+e^{4 x^2} (-40 x-160 x^3-160 x^5)}{1+2 x^2+x^4} \, dx\) [930]
3.10.31
\(\int \genfrac {}{}{}{}{21600+76375 x-23350 x^2+(-15000-61000 x+19400 x^2) \log (x)+(3600+18500 x-6200 x^2) \log ^2(x)+(-300-2500 x+900 x^2) \log ^3(x)+(125 x-50 x^2) \log ^4(x)}{312987 x-558144 x \log (x)+442632 x \log ^2(x)-203808 x \log ^3(x)+59586 x \log ^4(x)-11328 x \log ^5(x)+1368 x \log ^6(x)-96 x \log ^7(x)+3 x \log ^8(x)} \, dx\) [931]
3.10.32
\(\int 250 e^{-1+\genfrac {}{}{}{}{25 x^2}{e}} x \, dx\) [932]
3.10.33
\(\int \genfrac {}{}{}{}{-7200 x+e^{2 x} (125000+30000 x+2400 x^2+64 x^3)}{15625+3750 x+300 x^2+8 x^3} \, dx\) [933]
3.10.34
\(\int \genfrac {}{}{}{}{-35 x+15 x^2-35 x \log (x)+e^{\genfrac {}{}{}{}{e^{e^6}}{x}} (-5 x+(-5 e^{e^6}-5 x) \log (x))}{49 x+e^{\genfrac {}{}{}{}{2 e^{e^6}}{x}} x-42 x^2+9 x^3+e^{\genfrac {}{}{}{}{e^{e^6}}{x}} (14 x-6 x^2)} \, dx\) [934]
3.10.35
\(\int \genfrac {}{}{}{}{21474836480 e-5 x}{4294967296 x^2} \, dx\) [935]
3.10.36
\(\int \genfrac {}{}{}{}{12+5 x-24 x^2-x^3+x \log (x)}{5 x-x^3+x \log (x)} \, dx\) [936]
3.10.37
\(\int \genfrac {}{}{}{}{1}{5} (255+5 e^5+4 e^x) \, dx\) [937]
3.10.38
\(\int \genfrac {}{}{}{}{-14+6 e^{2 x}+e^x (7+x)+(-2+e^x+e^{2 x}) \log (2+e^x)}{e^{3 x}+e^{2 x} (2-2 x)+2 x^2+e^x (-4 x+x^2)} \, dx\) [938]
3.10.39
\(\int \genfrac {}{}{}{}{64+(-240 x+48 x^2) \log ^2(10)+(300 x^2-120 x^3+12 x^4) \log ^4(10)+(-125 x^3+75 x^4-15 x^5+x^6) \log ^6(10)+e^{\genfrac {}{}{}{}{-336+(640 x-128 x^2) \log ^2(10)+(-300 x^2+120 x^3-12 x^4) \log ^4(10)}{16+(-40 x+8 x^2) \log ^2(10)+(25 x^2-10 x^3+x^4) \log ^4(10)}} ((-800 x+320 x^2) \log ^2(10)+(800 x^2-480 x^3+64 x^4) \log ^4(10))}{64 x+(-240 x^2+48 x^3) \log ^2(10)+(300 x^3-120 x^4+12 x^5) \log ^4(10)+(-125 x^4+75 x^5-15 x^6+x^7) \log ^6(10)} \, dx\) [939]
3.10.40
\(\int \genfrac {}{}{}{}{-900+2370 x-1836 x^2+541 x^3-165 x^4+97 x^5+4 x^7}{900 x-1440 x^2+516 x^3-72 x^4+97 x^5+4 x^6+4 x^7} \, dx\) [940]
3.10.41
\(\int \genfrac {}{}{}{}{-25 x+50 x \log (x)+e^{e^{2 x}-x} (1-2 e^{2 x}) \log ^2(x)+2 x \log ^2(x)}{3 \log ^2(x)} \, dx\) [941]
3.10.42
\(\int \genfrac {}{}{}{}{5-60 x+268 x^2+536 x^3+363 x^4+108 x^5+12 x^6+(-8 x^2+120 x^3+108 x^4+24 x^5) \log (x)+12 x^4 \log ^2(x)}{1-20 x+82 x^2+176 x^3+121 x^4+36 x^5+4 x^6+(-4 x^2+40 x^3+36 x^4+8 x^5) \log (x)+4 x^4 \log ^2(x)} \, dx\) [942]
3.10.43
\(\int \genfrac {}{}{}{}{e^{4+2 x} (-4+8 x)}{x^2 \log (3)} \, dx\) [943]
3.10.44
\(\int (-e^{10}+8 e^5 x^3-7 x^6+e^4 (-3+2 x)) \, dx\) [944]
3.10.45
\(\int \genfrac {}{}{}{}{-2125 x^2+11750 x^3-13125 x^4-9000 x^5+e^{\genfrac {}{}{}{}{x}{-1+3 x}} (75-375 x+575 x^2)}{5625 x^2-46500 x^3+131350 x^4-136700 x^5+18025 x^6+28200 x^7+3600 x^8+e^{\genfrac {}{}{}{}{2 x}{-1+3 x}} (9-78 x+241 x^2-312 x^3+144 x^4)+e^{\genfrac {}{}{}{}{x}{-1+3 x}} (-450 x+3810 x^2-11270 x^3+13190 x^4-4080 x^5-1440 x^6)} \, dx\) [945]
3.10.46
\(\int \genfrac {}{}{}{}{3 e^{e^2} x^2+e^{2 e^{-e^2} x} (e^{e^2} x^3-4 x^4)}{25 e^{e^2}+75 e^{e^2+2 e^{-e^2} x} x+75 e^{e^2+4 e^{-e^2} x} x^2+25 e^{e^2+6 e^{-e^2} x} x^3} \, dx\) [946]
3.10.47
\(\int \genfrac {}{}{}{}{-108-80 x+108 x^2+48 x^3-15 x^4-6 x^5+e^x (-108-108 x+108 x^2+36 x^3-15 x^4-3 x^5)}{11664 x^2+8640 x^3-6176 x^4-5472 x^5+984 x^6+1320 x^7+8 x^8-144 x^9-15 x^{10}+6 x^{11}+x^{12}+e^{2 x} (11664 x^2-7776 x^4+1944 x^6-216 x^8+9 x^{10})+e^x (23328 x^2+8640 x^3-15552 x^4-5472 x^5+3888 x^6+1320 x^7-432 x^8-144 x^9+18 x^{10}+6 x^{11})} \, dx\) [947]
3.10.48
\(\int \genfrac {}{}{}{}{-324+72 x^2-18 x^3-3 x^5-48 e^{2 x} x^5+2 x^6+e^x (36 x^2-18 x^3+2 x^5-2 x^6)}{x^5} \, dx\) [948]
3.10.49
\(\int e^{-1-x} (-5+5 x+9 e^{1+x} x^2+e^{1+3 x+2 x^2} (3+6 x+12 x^2)+e^{1+2 x+x^2} (12 x+6 x^2+12 x^3)) \, dx\) [949]
3.10.50
\(\int \genfrac {}{}{}{}{16-8 x^3+e (-64+16 x+4 x^2+32 x^3-8 x^4)+(4-2 x^3+e (-16+4 x+x^2+8 x^3-2 x^4)) \log ^2(5)+e^x (e (-16-4 x^2+8 x^3)+e (-4-x^2+2 x^3) \log ^2(5))}{-x^2+e^{1+x} x^2+e (4 x^2-x^3)} \, dx\) [950]
3.10.51
\(\int \genfrac {}{}{}{}{1}{2} (3+2 e^5+6 x^2) \, dx\) [951]
3.10.52
\(\int \genfrac {}{}{}{}{1}{3} (-9+e^4 (-24-8 e^2)+78 x+24 e^2 x+(72+24 e^2) \log (x)+(36+12 e^2) \log ^2(x)) \, dx\) [952]
3.10.53
\(\int \genfrac {}{}{}{}{12 x^2+3 e^2 x^2-10 x^3+4 x^4+e^3 (8 x+2 e^2 x-5 x^2)}{16+e^4-40 x+57 x^2-40 x^3+16 x^4+e^2 (8-10 x+8 x^2)} \, dx\) [953]
3.10.54
\(\int \genfrac {}{}{}{}{(2 x^3+4 x^2 \log (4)+2 x \log ^2(4)) \log (\log (x) \log (\log (4)))+(4 x^3+6 x^2 \log (4)+2 x \log ^2(4)) \log (x) \log ^2(\log (x) \log (\log (4)))}{\log (x)} \, dx\) [954]
3.10.55
\(\int -\genfrac {}{}{}{}{2}{(-e^4+5 e^{16}-x) \log (e^4-5 e^{16}+x)} \, dx\) [955]
3.10.56
\(\int \genfrac {}{}{}{}{(4+4 x+4 e^x x) \log ^3(5+e^x+x+\log (x))}{20 x+4 e^x x+4 x^2+4 x \log (x)+(5 x+e^x x+x^2+x \log (x)) \log ^4(5+e^x+x+\log (x))} \, dx\) [956]
3.10.57
\(\int \genfrac {}{}{}{}{-2 x^2-4 x^3+x^4+(8 x+18 x^2-x^4) \log (4+x)+(-8 x-18 x^2+x^4) \log ^2(4+x)+((-8 x-2 x^2-4 x^3-x^4) \log (4+x)+(-8+6 x-2 x^2+3 x^3+x^4) \log ^2(4+x)) \log (\genfrac {}{}{}{}{2 x+(2-2 x) \log (4+x)}{\log (4+x)})}{(-4 x^3-x^4) \log (4+x)+(-4 x^2+3 x^3+x^4) \log ^2(4+x)} \, dx\) [957]
3.10.58
\(\int \genfrac {}{}{}{}{-1-4 x+8 x^2+(-4 x+16 x^2) \log (x)}{9 x} \, dx\) [958]
3.10.59
\(\int \genfrac {}{}{}{}{(-2+16 e^{\genfrac {}{}{}{}{1}{5} (5-2 x)} x-2 x \log (x)) \log (\genfrac {}{}{}{}{1}{4} (-1+20 e^{\genfrac {}{}{}{}{1}{5} (5-2 x)}-x+(1+x) \log (x)))}{-x+20 e^{\genfrac {}{}{}{}{1}{5} (5-2 x)} x-x^2+(x+x^2) \log (x)} \, dx\) [959]
3.10.60
\(\int (-1+e^{6 e^{3 x+3 x^2}+3 x+3 x^2} (18+36 x)) \, dx\) [960]
3.10.61
\(\int (e^{5 x^3} (32-1920 x^2+480 x^3)+e^{10 x^3} (-128+32 x+7680 x^2-3840 x^3+480 x^4)+(64 x+e^{5 x^3} (-256 x+64 x^2)) \log (x)+(64 x+e^{5 x^3} (-256 x+96 x^2-1920 x^4+480 x^5)) \log ^2(x)+64 x^3 \log ^3(x)+64 x^3 \log ^4(x)) \, dx\) [961]
3.10.62
\(\int \genfrac {}{}{}{}{2 x^2+e^{4 x^x} (-2+x^x (8 x+8 x \log (x)))}{x^2} \, dx\) [962]
3.10.63
\(\int \genfrac {}{}{}{}{(6 x-e^2 x+6 e^x x+2 x^2) \log (x^2)+(4 x-2 e^2 x+4 e^x x+4 x^2+(4-2 e^2+4 e^x+4 x) \log (\genfrac {}{}{}{}{1}{4} (4+e^4+4 e^{2 x}+e^2 (-4-4 x)+8 x+4 x^2+e^x (8-4 e^2+8 x)))) \log (x+\log (\genfrac {}{}{}{}{1}{4} (4+e^4+4 e^{2 x}+e^2 (-4-4 x)+8 x+4 x^2+e^x (8-4 e^2+8 x))))}{4 x^2-2 e^2 x^2+4 e^x x^2+4 x^3+(4 x-2 e^2 x+4 e^x x+4 x^2) \log (\genfrac {}{}{}{}{1}{4} (4+e^4+4 e^{2 x}+e^2 (-4-4 x)+8 x+4 x^2+e^x (8-4 e^2+8 x)))} \, dx\) [963]
3.10.64
\(\int \genfrac {}{}{}{}{e^{16} (54+3 e^2-54 x-18 x^2-12 e x^2-18 x^3)+e^{16-\genfrac {}{}{}{}{x}{2}} (36+e^2 (6-3 x)-36 x-12 x^2-15 e x^2-12 x^3)+e^{16+\genfrac {}{}{}{}{x}{2}} (36-36 x-12 x^2-3 e x^2-12 x^3)+e^{16+x} (9-9 x-3 x^2-3 x^3)+e^{16-x} (9+e^2 (3-3 x)-9 x-3 x^2-6 e x^2-3 x^3)}{9+e^4+4 e^3 x+6 x^2+x^4+e^2 (6+6 x^2)+e (12 x+4 x^3)+e^{2 x} (9+6 x^2+x^4)+e^{3 x/2} (36+24 x^2+4 x^4+e (12 x+4 x^3))+e^x (54+36 x^2+6 x^4+e^2 (6+6 x^2)+e (36 x+12 x^3))+e^{x/2} (36+4 e^3 x+24 x^2+4 x^4+e^2 (12+12 x^2)+e (36 x+12 x^3))} \, dx\) [964]
3.10.65
\(\int \genfrac {}{}{}{}{1}{72} e^{-x} (-1-480 e^x+4 e^{2 x}) \, dx\) [965]
3.10.66
\(\int \genfrac {}{}{}{}{6 x+3 x^2+e^4 (6 x+3 x^2)+(6 x+3 x^2) \log (3)+(-170-414 x-241 x^2-53 x^3-4 x^4+e^4 (-170-244 x-82 x^2-8 x^3)+(-170-244 x-82 x^2-8 x^3) \log (3)) \log (\genfrac {}{}{}{}{17+4 x}{5+x})}{(170 x+159 x^2+45 x^3+4 x^4) \log (\genfrac {}{}{}{}{17+4 x}{5+x})} \, dx\) [966]
3.10.67
\(\int \genfrac {}{}{}{}{4+4 x-8 x^2+e^{2 x} (-x-2 x^2)}{4 x} \, dx\) [967]
3.10.68
\(\int \genfrac {}{}{}{}{2+3 x-2 x^2+6 x^3+e^{2 x} (2+8 x)+e^x (2+13 x+14 x^2)}{x+e^{2 x} x-x^2+x^3+e^x (x+2 x^2)} \, dx\) [968]
3.10.69
\(\int -\genfrac {}{}{}{}{\log (2)}{x^4 (i \pi +\log (5))} \, dx\) [969]
3.10.70
\(\int \genfrac {}{}{}{}{6+3 x+6 x^3-2 \log (x^3)}{2 x^2} \, dx\) [970]
3.10.71
\(\int \genfrac {}{}{}{}{4+e^4 x+e^{4-x+e^{-x} x} (-1+x) x}{x} \, dx\) [971]
3.10.72
\(\int \genfrac {}{}{}{}{6250 x+1500 x^2-100 x^3-125 x^4+10 e^{2 x} x^5+10 e^{2 x} x^7+e^x x (-500 x^3+21 x^5+20 e^x x^5+x^6-x^7)+e^x (-500 x^3-20 x^4+22 x^5+2 x^6-x^7)}{3125-250 e^x x^2+5 e^{2 x} x^4+5 e^{2 x} x^6+e^x x (-250 x^2+10 e^x x^4)} \, dx\) [972]
3.10.73
\(\int \genfrac {}{}{}{}{-e^4+3 x^2}{x^2} \, dx\) [973]
3.10.74
\(\int \genfrac {}{}{}{}{48 x-1168 x^2-1216 x^3+336 x^4+2000 x^5+(32-784 x-800 x^2-48 x^3+1600 x^4) \log (x)+(16-384 x-800 x^2-400 x \log (x)) \log (x^2)}{x} \, dx\) [974]
3.10.75
\(\int \genfrac {}{}{}{}{x-x^2+(1250-2500 x+e^x (-2500 x+2500 x^2)) \log (-\genfrac {}{}{}{}{e^{2 e^x}}{-x+x^2})}{-5 x+5 x^2+e (-4 x+4 x^2)} \, dx\) [975]
3.10.76
\(\int (242 x-22 \log (5)) \, dx\) [976]
3.10.77
\(\int \genfrac {}{}{}{}{e^x (-8+x)+x+(-8+x) \log (2)+(-8+x) \log (8-x)}{-8+x} \, dx\) [977]
3.10.78
\(\int \genfrac {}{}{}{}{-3 x^5+(1536+384 x+1536 x^2+384 x^3+28 x^5+7 x^6) \log (4+x) \log (\log (4+x))}{(24 x^5+6 x^6) \log (4+x) \log (\log (4+x))} \, dx\) [978]
3.10.79
\(\int \genfrac {}{}{}{}{(1-x) \log (5)+(-4 x+2 x^2+(4+2 x-2 x^2) \log (5)) \log (-2+x)+(2-x) \log (5) \log (-2+x) \log (\log (-2+x))}{(-2+x) \log (5) \log (-2+x)} \, dx\) [979]
3.10.80
\(\int \genfrac {}{}{}{}{x^2-2 x^3-\log (2)+e^{2+x} (9 x^2-6 x^3+7 x^4-2 x^5+x^6+(-6 x+2 x^2-2 x^3) \log (2)+\log ^2(2))}{9 x^2-6 x^3+7 x^4-2 x^5+x^6+(-6 x+2 x^2-2 x^3) \log (2)+\log ^2(2)} \, dx\) [980]
3.10.81
\(\int \genfrac {}{}{}{}{e^{-x} (-e^{4+x}+x^2+2 x^3-x^4)}{5 x^2} \, dx\) [981]
3.10.82
\(\int \genfrac {}{}{}{}{e^8+4 e^{12}+(e^8+4 e^{12}) \log (x)-16 e^4 \log ^2(x)}{4 e^4 x^2 \log ^2(x)} \, dx\) [982]
3.10.83
\(\int \genfrac {}{}{}{}{-123-4 e^{-4 x/41} x^2}{41 x^2} \, dx\) [983]
3.10.84
\(\int \genfrac {}{}{}{}{-30+e^{\genfrac {}{}{}{}{1}{20} (40+e^{-1+x^2} (-1+2 x))} (10 e^x x+e^{-1+x+x^2} (x-x^2+2 x^3))}{10 x} \, dx\) [984]
3.10.85
\(\int \genfrac {}{}{}{}{-16 x-2 x^2-8 x^4-4 x^5+(-8 x-2 x^2+8 x^4+2 x^5) \log (\genfrac {}{}{}{}{16+8 x+x^2-32 x^3-16 x^4-2 x^5+16 x^6+8 x^7+x^8}{x^4})}{(-4-x+4 x^3+x^4) \log ^2(\genfrac {}{}{}{}{16+8 x+x^2-32 x^3-16 x^4-2 x^5+16 x^6+8 x^7+x^8}{x^4})} \, dx\) [985]
3.10.86
\(\int \genfrac {}{}{}{}{81-9 x^2}{2 x^2} \, dx\) [986]
3.10.87
\(\int \genfrac {}{}{}{}{-15+e^{\genfrac {}{}{}{}{1}{5} (e^{40+x} x+e^{40} (5+10 x))} (-30 e^{40}+e^{40+x} (-3-3 x))}{(5 e^{\genfrac {}{}{}{}{1}{5} (e^{40+x} x+e^{40} (5+10 x))}+5 x) \log ^2(e^{\genfrac {}{}{}{}{1}{5} (e^{40+x} x+e^{40} (5+10 x))}+x)} \, dx\) [987]
3.10.88
\(\int (-1+\log (2)) \, dx\) [988]
3.10.89
\(\int \genfrac {}{}{}{}{-72+36 x+e^{x^2} (36-20 x-72 x^2+18 x^3)}{4-4 e^{x^2}+e^{2 x^2}} \, dx\) [989]
3.10.90
\(\int \genfrac {}{}{}{}{-4 x+(-20+4 x) \log (-5+x)}{(-5+x) \log ^2(-5+x)} \, dx\) [990]
3.10.91
\(\int \genfrac {}{}{}{}{90 x^2 \log ^2(3)+e^{x^2} (-300 x-300 x^3) \log ^2(3)}{225+60 x^3 \log ^2(3)+100 e^{2 x^2} x^4 \log ^4(3)+4 x^6 \log ^4(3)+e^{x^2} (-300 x^2 \log ^2(3)-40 x^5 \log ^4(3))} \, dx\) [991]
3.10.92
\(\int \genfrac {}{}{}{}{-10 x-4 e^5 x+x^2+(-20 x-8 e^5 x+4 x^2) \log (4 e^x)+(-10-4 e^5) \log ^2(4 e^x)}{2 x^4+8 x^3 \log ^2(4 e^x)+8 x^2 \log ^4(4 e^x)} \, dx\) [992]
3.10.93
\(\int \genfrac {}{}{}{}{-6-2 x^2+8 x^4+(3+x^2-4 x^4) \log (4)}{x+x^3+4 x^4+4 x^5} \, dx\) [993]
3.10.94
\(\int \genfrac {}{}{}{}{2-15 x-15 e^4 x+30 x^2+(e^4-2 x) \log (x^2)+(-15 x+\log (x^2)) \log (-15 x+\log (x^2))}{(15 e^4 x^2-15 x^3) \log ^2(5)+(-e^4 x+x^2) \log ^2(5) \log (x^2)+(15 x^2 \log ^2(5)-x \log ^2(5) \log (x^2)) \log (-15 x+\log (x^2))+(-15 e^4 x^2+15 x^3+(e^4 x-x^2) \log (x^2)+(-15 x^2+x \log (x^2)) \log (-15 x+\log (x^2))) \log (e^4 x-x^2+x \log (-15 x+\log (x^2)))} \, dx\) [994]
3.10.95
\(\int \genfrac {}{}{}{}{e^{x^2} (x+e^{-2+2 x} x+x^2+(x+2 x^3+2 x^4+e^{-2+2 x} (2 x+2 x^3)) \log (x)+(1+e^{-2+2 x}+x+(-1-x+2 x^2+2 x^3+e^{-2+2 x} (-1+2 x^2)) \log (x)) \log (1+e^{-2+2 x}+x))}{x^2+e^{-2+2 x} x^2+x^3} \, dx\) [995]
3.10.96
\(\int \genfrac {}{}{}{}{4 x^2+4 x^2 \log (5)+x^2 \log ^2(5)+e^{2 x} (729+486 \log (5)+81 \log ^2(5))+e^x (108 x+90 x \log (5)+18 x \log ^2(5))+e^x (e (-27 x+27 x^2)+e (-9 x+9 x^2) \log (5)) \log (x)}{(4 x^3+4 x^3 \log (5)+x^3 \log ^2(5)+e^{2 x} (729 x+486 x \log (5)+81 x \log ^2(5))+e^x (108 x^2+90 x^2 \log (5)+18 x^2 \log ^2(5))) \log (x)} \, dx\) [996]
3.10.97
\(\int \genfrac {}{}{}{}{1}{20} (4+e^x (-4-4 x)-24 x+e^{e^x} (15+5 e^{2 x}+15 e^x x)) \, dx\) [997]
3.10.98
\(\int \genfrac {}{}{}{}{3-19 x+2 x^2+e^x (-16 x-16 x^2)+e^{2 x} (-4 x-8 x^2)}{3 x} \, dx\) [998]
3.10.99
\(\int -\genfrac {}{}{}{}{e^4}{x^3} \, dx\) [999]
3.10.100
\(\int \genfrac {}{}{}{}{-e^2+14 x^3+e^x (2 x^3+2 x^4)}{2 x^3} \, dx\) [1000]
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