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3.2
Integrals 101 to 200
3.2.1
\(\int \genfrac {}{}{}{}{(-x-x^2) \log (x)-x \log ^2(x)+e^{-x+x \log (x)} (x+x \log ^2(x))+(e^{-x+x \log (x)}-x \log (x)) \log (-e^{-x+x \log (x)}+x \log (x))}{e^{-x+x \log (x)} x-x^2 \log (x)} \, dx\) [101]
3.2.2
\(\int \genfrac {}{}{}{}{e^{4+4 x} (4 x^5-16 x^6+e^x (4 x^4-16 x^5))+e^{4+4 x} (8 x^2+8 e^x x^2) \log (e^x+x)+e^{4+4 x} (-8 x^2-16 x^3+e^x (-8 x-16 x^2)) \log ^2(e^x+x)}{25 e^x x^6+25 x^7+e^{8+8 x} (e^x x^4+x^5)+e^{4+4 x} (-10 e^x x^5-10 x^6)+(50 e^x x^3+50 x^4+e^{4+4 x} (-10 e^x x^2-10 x^3)) \log ^2(e^x+x)+(25 e^x+25 x) \log ^4(e^x+x)} \, dx\) [102]
3.2.3
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3}{2 \log (x)}} (-3 x^2-3 (i \pi -\log (\genfrac {}{}{}{}{5}{2}))-4 x^2 \log ^2(x))}{(2 x^5+4 x^3 (i \pi -\log (\genfrac {}{}{}{}{5}{2}))+2 x (i \pi -\log (\genfrac {}{}{}{}{5}{2}))^2) \log ^2(x)} \, dx\) [103]
3.2.4
\(\int \genfrac {}{}{}{}{-900000000-4800000000 x-9450000000 x^2-6900000000 x^3+1968750000 x^4+5400000000 x^5+1575000000 x^6-900000000 x^7-337500000 x^8-75000000 x^{10}+18750000 x^{12}+e^{2 x} (200000000+2900000000 x+12050000000 x^2+21475000000 x^3+14375000000 x^4-5250000000 x^5-10800000000 x^6-150000000 x^7+4650000000 x^8+500000000 x^9-1450000000 x^{10}-325000000 x^{11}+175000000 x^{12}+50000000 x^{13})+e^{8 x} (-25000000 x^3-231250000 x^4-850000000 x^5-1525000000 x^6-1050000000 x^7+962500000 x^8+2800000000 x^9+2775000000 x^{10}+1475000000 x^{11}+418750000 x^{12}+50000000 x^{13})+e^{4 x} (-300000000 x-3150000000 x^2-11775000000 x^3-19987500000 x^4-12150000000 x^5+8550000000 x^6+15750000000 x^7+3375000000 x^8-6300000000 x^9-3900000000 x^{10}+225000000 x^{11}+712500000 x^{12}+150000000 x^{13})+e^{6 x} (150000000 x^2+1425000000 x^3+5175000000 x^4+8850000000 x^5+5400000000 x^6-5250000000 x^7-11550000000 x^8-7200000000 x^9-150000000 x^{10}+2025000000 x^{11}+975000000 x^{12}+150000000 x^{13})+(e^{6 x} (-300000000 x-3300000000 x^2-13050000000 x^3-23850000000 x^4-16200000000 x^5+12600000000 x^6+31500000000 x^7+20700000000 x^8+900000000 x^9-5700000000 x^{10}-2850000000 x^{11}-450000000 x^{12})+e^{4 x} (300000000+4500000000 x+19575000000 x^2+37050000000 x^3+27000000000 x^4-10800000000 x^5-28350000000 x^6-8100000000 x^7+10800000000 x^8+7500000000 x^9-225000000 x^{10}-1350000000 x^{11}-300000000 x^{12})+e^{8 x} (75000000 x^2+750000000 x^3+2900000000 x^4+5400000000 x^5+3850000000 x^6-3500000000 x^7-10500000000 x^8-10600000000 x^9-5725000000 x^{10}-1650000000 x^{11}-200000000 x^{12})+e^{2 x} (-1800000000-10000000000 x-20850000000 x^2-17150000000 x^3+1950000000 x^4+10800000000 x^5+2100000000 x^6-3900000000 x^7-900000000 x^8+1200000000 x^9+350000000 x^{10}-150000000 x^{11}-50000000 x^{12})) \log (x)+(e^{4 x} (-1350000000-7800000000 x-17062500000 x^2-14850000000 x^3+2250000000 x^4+12600000000 x^5+4725000000 x^6-4500000000 x^7-3600000000 x^8+637500000 x^{10}+150000000 x^{11})+e^{8 x} (-75000000 x-862500000 x^2-3600000000 x^3-7050000000 x^4-5250000000 x^5+4725000000 x^6+14700000000 x^7+15150000000 x^8+8325000000 x^9+2437500000 x^{10}+300000000 x^{11})+e^{6 x} (150000000+2325000000 x+10575000000 x^2+21150000000 x^3+16200000000 x^4-9450000000 x^5-28350000000 x^6-19800000000 x^7-1350000000 x^8+5325000000 x^9+2775000000 x^{10}+450000000 x^{11})) \log ^2(x)+(e^{8 x} (25000000+400000000 x+1900000000 x^2+4000000000 x^3+3150000000 x^4-2800000000 x^5-9100000000 x^6-9600000000 x^7-5375000000 x^8-1600000000 x^9-200000000 x^{10})+e^{6 x} (-450000000-2700000000 x-6150000000 x^2-5400000000 x^3+2100000000 x^4+8400000000 x^5+6300000000 x^6+600000000 x^7-1650000000 x^8-900000000 x^9-150000000 x^{10})) \log ^3(x)+e^{8 x} (-56250000-350000000 x-825000000 x^2-700000000 x^3+612500000 x^4+2100000000 x^5+2275000000 x^6+1300000000 x^7+393750000 x^8+50000000 x^9) \log ^4(x)}{x^{10}} \, dx\) [104]
3.2.5
\(\int \genfrac {}{}{}{}{1}{3} e^{-e^x+\genfrac {}{}{}{}{1}{3} e^{-e^x} (12 x^3+100 x^4+(-12 x^2-100 x^3) \log (4))} (36 x^2+400 x^3+(-24 x-300 x^2) \log (4)+e^x (-12 x^3-100 x^4+(12 x^2+100 x^3) \log (4))) \, dx\) [105]
3.2.6
\(\int \genfrac {}{}{}{}{-131072-65536 e^4-2 x^2+(-32768-16384 e^4) \log (2)+(-3072-1536 e^4) \log ^2(2)+(-128-64 e^4) \log ^3(2)+(-2-e^4) \log ^4(2)+4 x^2 \log (x)}{(65536 x+16384 x \log (2)+1536 x \log ^2(2)+64 x \log ^3(2)+x \log ^4(2)) \log ^2(x)} \, dx\) [106]
3.2.7
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (e^x x^3 \log (2)+x^4 \log (2))} (-4 x^3 \log (2)+e^x (-3 x^2-x^3) \log (2)) (i \pi +\log (-\log (\log (2))))^2}{18-12 e^{\genfrac {}{}{}{}{1}{2} (e^x x^3 \log (2)+x^4 \log (2))}+2 e^{e^x x^3 \log (2)+x^4 \log (2)}} \, dx\) [107]
3.2.8
\(\int \genfrac {}{}{}{}{5 e^2+e^4 x^2+(-5 e^2+e^4 (-x-3 x^2)) \log (x)+(e^4 x-2 e^4 x \log (x)) \log (e^5 x)}{25 x^2+10 e^2 x^4+e^4 x^6+(10 e^2 x^3+2 e^4 x^5) \log (e^5 x)+e^4 x^4 \log ^2(e^5 x)} \, dx\) [108]
3.2.9
\(\int \genfrac {}{}{}{}{-1-3 x+2 x^2}{16 e^{3+x}-x-2 x^2} \, dx\) [109]
3.2.10
\(\int \genfrac {}{}{}{}{-3+6 x^2}{2 x^2} \, dx\) [110]
3.2.11
\(\int (2+e^{2+8 x+x^2} (2+16 x+4 x^2)) \, dx\) [111]
3.2.12
\(\int \genfrac {}{}{}{}{1}{4} e^9 (625 x^3+6250 x^4+15000 x^5) \, dx\) [112]
3.2.13
\(\int \genfrac {}{}{}{}{-10 x+2 x^2+6 x^3+e^x (-3-x+3 x^2)+(2 e^x x+4 x^2) \log (x)+(-4-4 e^x-4 x) \log (e^x+2 x)}{e^x+2 x} \, dx\) [113]
3.2.14
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-25-450 x-1935 x^2+810 x^3-81 x^4+(-90 x-810 x^2+162 x^3) \log (9)-81 x^2 \log ^2(9)+x^2 \log (5 x)}{x^2}} (50+450 x+x^2+810 x^3-162 x^4+(90 x+162 x^3) \log (9))}{x^3} \, dx\) [114]
3.2.15
\(\int \genfrac {}{}{}{}{(2 x^2+5 x^3-2 x^5+2 x^6) \log (4-\log (6))+(4-x^2+x^3) \log (4-x^2+x^3) \log (4-\log (6))}{(-4 x^4+x^6-x^7+(4 x-x^3+x^4) \log (4-x^2+x^3)) \log ^2(\genfrac {}{}{}{}{-x^3+\log (4-x^2+x^3)}{x})} \, dx\) [115]
3.2.16
\(\int \genfrac {}{}{}{}{e^x (54+108 x-162 x^2-135 x^3+54 x^4)-27 e^x x \log (x^2)}{16 x^3-8 x^4-15 x^5+4 x^6+4 x^7+(8 x^2-2 x^3-4 x^4) \log (x^2)+x \log ^2(x^2)} \, dx\) [116]
3.2.17
\(\int e^{x+\genfrac {}{}{}{}{1}{2} (4 x-x^2-2 x^3-2 x \log (16))} (1+3 x-x^2-3 x^3-x \log (16)) \, dx\) [117]
3.2.18
\(\int \genfrac {}{}{}{}{-16 x^7+7 x^8+e^x (20 x^4-16 x^5+x^6+x^7)+(8 x^7+e^x (-20 x^4+6 x^5+2 x^6)) \log (3+\log (2))+e^x (5 x^4+x^5) \log ^2(3+\log (2))}{4-4 x+x^2+(-4+2 x) \log (3+\log (2))+\log ^2(3+\log (2))} \, dx\) [118]
3.2.19
\(\int (2560 x+768 x^2-2560 x^3-640 x^4+480 x^5+112 x^6+e^8 (10 x+3 x^2)+e^4 (-320 x-96 x^2+160 x^3+40 x^4)) \, dx\) [119]
3.2.20
\(\int \genfrac {}{}{}{}{8+e^{\genfrac {}{}{}{}{3}{4+2 x}} (9-3 x)+8 x+2 x^2}{-24-16 x+2 x^2+2 x^3} \, dx\) [120]
3.2.21
\(\int \genfrac {}{}{}{}{3^{-1/x} \sqrt [x]{\log (x^4)} (-48+12 \log (x^4) \log (\genfrac {}{}{}{}{\log (x^4)}{3}))}{(625 x^2+50 x^2 \log (4)+x^2 \log ^2(4)) \log (x^4)+3^{-1/x} (-50 x^2-2 x^2 \log (4)) \log ^{1+\genfrac {}{}{}{}{1}{x}}(x^4)+3^{-2/x} x^2 \log ^{1+\genfrac {}{}{}{}{2}{x}}(x^4)} \, dx\) [121]
3.2.22
\(\int \genfrac {}{}{}{}{1}{5} (-14+14 x) \, dx\) [122]
3.2.23
\(\int \genfrac {}{}{}{}{-4-576 x-256 x^3+(81+x+72 x^2+16 x^4) \log (43046721+2125764 x+153094374 x^2+5669028 x^3+238155553 x^4+6298848 x^5+211678272 x^6+3732544 x^7+117586944 x^8+1244160 x^9+41805312 x^{10}+221184 x^{11}+9289728 x^{12}+16384 x^{13}+1179648 x^{14}+65536 x^{16})}{(81+x+72 x^2+16 x^4) \log (43046721+2125764 x+153094374 x^2+5669028 x^3+238155553 x^4+6298848 x^5+211678272 x^6+3732544 x^7+117586944 x^8+1244160 x^9+41805312 x^{10}+221184 x^{11}+9289728 x^{12}+16384 x^{13}+1179648 x^{14}+65536 x^{16})} \, dx\) [123]
3.2.24
\(\int \genfrac {}{}{}{}{-1000-5000 x-6200 x^2-2900 x^3-1000 x^4-1000 x^5-400 x^6+(200+1850 x+1600 x^2+350 x^3+300 x^4+300 x^5) \log (5)+(-200 x-50 x^2-50 x^4) \log ^2(5)+(-200-1850 x-1600 x^2-350 x^3-300 x^4-300 x^5+(400 x+100 x^2+100 x^4) \log (5)) \log (\genfrac {}{}{}{}{x}{4+x+x^3})+(-200 x-50 x^2-50 x^4) \log ^2(\genfrac {}{}{}{}{x}{4+x+x^3})}{256 x^3+448 x^4+288 x^5+144 x^6+104 x^7+48 x^8+8 x^9+(-192 x^3-240 x^4-96 x^5-60 x^6-48 x^7-12 x^8) \log (5)+(48 x^3+36 x^4+6 x^5+12 x^6+6 x^7) \log ^2(5)+(-4 x^3-x^4-x^6) \log ^3(5)+(192 x^3+240 x^4+96 x^5+60 x^6+48 x^7+12 x^8+(-96 x^3-72 x^4-12 x^5-24 x^6-12 x^7) \log (5)+(12 x^3+3 x^4+3 x^6) \log ^2(5)) \log (\genfrac {}{}{}{}{x}{4+x+x^3})+(48 x^3+36 x^4+6 x^5+12 x^6+6 x^7+(-12 x^3-3 x^4-3 x^6) \log (5)) \log ^2(\genfrac {}{}{}{}{x}{4+x+x^3})+(4 x^3+x^4+x^6) \log ^3(\genfrac {}{}{}{}{x}{4+x+x^3})} \, dx\) [124]
3.2.25
\(\int e^{-25+e^{x^3}+25 x^2-5 x^4} (1+50 x^2+3 e^{x^3} x^3-20 x^4) \, dx\) [125]
3.2.26
\(\int \genfrac {}{}{}{}{-e^{\genfrac {}{}{}{}{3 x^3+x^4+e^5 (6-4 x-2 x^2)}{x}} x+e^{\genfrac {}{}{}{}{3 x^3+x^4+e^5 (6-4 x-2 x^2)}{x}} (6 x^3+3 x^4+e^5 (-6-2 x^2)) \log (2 x)}{x^2 \log ^2(2 x)} \, dx\) [126]
3.2.27
\(\int \genfrac {}{}{}{}{-4+(8-2 \log (-4 x^2)) \log (4-\log (-4 x^2))}{-4+\log (-4 x^2)} \, dx\) [127]
3.2.28
\(\int \genfrac {}{}{}{}{e^{2-e^x-4 x} (-e^{2 x} x^2-4 x^3+e^x (2 x-6 x^2-x^3))}{5 e^{3 x}+15 e^{2 x} x+15 e^x x^2+5 x^3} \, dx\) [128]
3.2.29
\(\int \genfrac {}{}{}{}{(-100 x+200 x^2) \log ^3(5-x+x^2)+(125-25 x+25 x^2) \log ^4(5-x+x^2)}{3645-729 x+729 x^2} \, dx\) [129]
3.2.30
\(\int \genfrac {}{}{}{}{-2+e^2 (-1-4 x)-4 x+(-4 x-4 e^2 x) \log (3)+(-2-e^2) \log (x)}{e^2} \, dx\) [130]
3.2.31
\(\int (-2 e^{2 x}-2 x) \, dx\) [131]
3.2.32
\(\int \genfrac {}{}{}{}{-950+170 x+2205 x^2+2184 x^3+1014 x^4+258 x^5+35 x^6+2 x^7+(1770-830 x-3792 x^2-2904 x^3-1014 x^4-174 x^5-12 x^6) \log (4)+(-1375+1032 x+2628 x^2+1476 x^3+345 x^4+30 x^5) \log ^2(4)+(576-600 x-924 x^2-340 x^3-40 x^4) \log ^3(4)+(-138+186 x+165 x^2+30 x^3) \log ^4(4)+(18-30 x-12 x^2) \log ^5(4)+(-1+2 x) \log ^6(4)}{-950 x-770 x^2+425 x^3+804 x^4+438 x^5+120 x^6+17 x^7+x^8+(1770 x+950 x^2-1032 x^3-1176 x^4-462 x^5-84 x^6-6 x^7) \log (4)+(-1375 x-348 x^2+900 x^3+648 x^4+165 x^5+15 x^6) \log ^2(4)+(576 x-24 x^2-372 x^3-160 x^4-20 x^5) \log ^3(4)+(-138 x+48 x^2+75 x^3+15 x^4) \log ^4(4)+(18 x-12 x^2-6 x^3) \log ^5(4)+(-x+x^2) \log ^6(4)} \, dx\) [132]
3.2.33
\(\int \genfrac {}{}{}{}{25000-185350 x+e^{2 x} x+283981 x^2-34040 x^3-128940 x^4+8150 x^5+25000 x^6+5800 x^7+400 x^8+e^x (-100+331 x+221 x^2-320 x^3-120 x^4-10 x^5)+(15000-139120 x+253000 x^2-92000 x^3-76680 x^4+24600 x^5+13800 x^6+1400 x^7+e^x (-20+120 x+40 x^2-120 x^3-20 x^4)) \log (x)+(3000-38410 x+82240 x^2-48030 x^3-10200 x^4+9600 x^5+1800 x^6+e^x (10 x-10 x^3)) \log ^2(x)+(200-4600 x+11600 x^2-9200 x^3+1000 x^4+1000 x^5) \log ^3(x)+(-200 x+600 x^2-600 x^3+200 x^4) \log ^4(x)}{50 x} \, dx\) [133]
3.2.34
\(\int \genfrac {}{}{}{}{4 x^3+e^{\genfrac {}{}{}{}{2 x+3 x^3-x^4+(2+3 x^2-x^3) \log (x)}{2 x}} (-2-3 x^2-5 x^3+3 x^4+(2-3 x^2+2 x^3) \log (x))}{2 x^2} \, dx\) [134]
3.2.35
\(\int \genfrac {}{}{}{}{-5+x^2+322 x^3+6400 x^6}{5 x+x^3+161 x^4+1280 x^7} \, dx\) [135]
3.2.36
\(\int \genfrac {}{}{}{}{48-320 x-368 x^2-96 x^3-18 x^4-21 x^5-8 x^6-x^7+(-144-136 x-32 x^2) \log (2 x+x^2)}{18 x^4+21 x^5+8 x^6+x^7} \, dx\) [136]
3.2.37
\(\int \genfrac {}{}{}{}{6+e^x}{8+e^x+6 x} \, dx\) [137]
3.2.38
\(\int \genfrac {}{}{}{}{-33-18 e^5-32 x-13 x^2-2 x^3}{9+24 x+22 x^2+8 x^3+x^4+e^5 (6+12 x+6 x^2)} \, dx\) [138]
3.2.39
\(\int \genfrac {}{}{}{}{-2 e^x-x}{-1+e^x+x} \, dx\) [139]
3.2.40
\(\int e^{-x+2 e^{-x} (-4+20 x+4 x \log (-\genfrac {}{}{}{}{x}{4}))} (14-10 x+(2-2 x) \log (-\genfrac {}{}{}{}{x}{4})) \, dx\) [140]
3.2.41
\(\int \genfrac {}{}{}{}{(-32+2 x^2-16 x^3+24 x^4) \log (\genfrac {}{}{}{}{-16-x^2+4 x^3-4 x^4}{x})+(-16-x^2+4 x^3-4 x^4) \log ^2(\genfrac {}{}{}{}{-16-x^2+4 x^3-4 x^4}{x})}{64 x^2+4 x^4-16 x^5+16 x^6} \, dx\) [141]
3.2.42
\(\int \genfrac {}{}{}{}{e^{16-4 x^2} (4 x^3-8 x^5-8 x^6)}{(1+x)^5} \, dx\) [142]
3.2.43
\(\int \genfrac {}{}{}{}{(e^e (4-4 x)+80 x) \log ^3(\genfrac {}{}{}{}{1}{10} (e^e (-15-x)+20 x+e^e \log (x)))}{20 x^2+e^e (-15 x-x^2)+e^e x \log (x)} \, dx\) [143]
3.2.44
\(\int \genfrac {}{}{}{}{-9 x^5+3 x^6+(60 x^2-280 x^3+80 x^4) \log (\genfrac {}{}{}{}{e^{4 x}}{-3 x+x^2})+(60 x^2-20 x^3) \log ^2(\genfrac {}{}{}{}{e^{4 x}}{-3 x+x^2})+(36-168 x+48 x^2) \log ^3(\genfrac {}{}{}{}{e^{4 x}}{-3 x+x^2})+(36-12 x) \log ^4(\genfrac {}{}{}{}{e^{4 x}}{-3 x+x^2})}{-9 x^5+3 x^6} \, dx\) [144]
3.2.45
\(\int \genfrac {}{}{}{}{16+(-16+8 x+8 x^2) \log (17)+4 \log (17) \log (x^2)}{x \log (17)} \, dx\) [145]
3.2.46
\(\int \genfrac {}{}{}{}{1}{8} e^{2 e^{80 e^{4+x+x^2}}} (x+e^{4+80 e^{4+x+x^2}+x+x^2} (80 x^2+160 x^3)) \, dx\) [146]
3.2.47
\(\int \genfrac {}{}{}{}{e^{-\log ^2(3)} (75-80 x+23 x^2-2 x^3+e^{x+\log ^2(3)} (260-160 x+20 x^2))}{50-20 x+2 x^2} \, dx\) [147]
3.2.48
\(\int \genfrac {}{}{}{}{1}{\log ^2(\log (\log (4+\log ^2(3))))} \, dx\) [148]
3.2.49
\(\int \genfrac {}{}{}{}{8-4 x+(-20+4 x-x^2) \log (x^2) \log (\log (x^2))+4 \log (x^2) \log (\log (x^2)) \log (\log (\log (x^2)))}{(20-20 x+5 x^2) \log (x^2) \log (\log (x^2))} \, dx\) [149]
3.2.50
\(\int \genfrac {}{}{}{}{1}{e^4 (2+x)} \, dx\) [150]
3.2.51
\(\int \genfrac {}{}{}{}{24 x^2+6 x^3+e^{\genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (-5-3 x+\log (4+x))}+x^2}{x}} (16 x+12 x^2+2 x^3+e^{\genfrac {}{}{}{}{1}{2} (-5-3 x+\log (4+x))} (-8-13 x-3 x^2))}{8+2 x} \, dx\) [151]
3.2.52
\(\int \genfrac {}{}{}{}{-48-9 x+2 x^2+(80-10 x) \log (x)+(40-5 x) \log ^2(x)+(-8+x) \log (\genfrac {}{}{}{}{1}{4} (-8 x+x^2))}{-8+x} \, dx\) [152]
3.2.53
\(\int \genfrac {}{}{}{}{-2 x^4+2 e^{1+x} x^4+(12 x^3-4 e^{1+x} x^3+4 x^4) \log (-3+e^{1+x}-x)+(e^{1+2 x}+e^x (-3-x)) \log ^3(-3+e^{1+x}-x)}{(-3+e^{1+x}-x) \log ^3(-3+e^{1+x}-x)} \, dx\) [153]
3.2.54
\(\int \genfrac {}{}{}{}{9+55 x^2-42 x^3-9 x^4-8 x^5-5 x^6+(-36 x^4+16 x^5+20 x^6+24 x^7) \log (5)+(24 x^5-10 x^6-12 x^7-42 x^8) \log ^2(5)+32 x^9 \log ^3(5)-9 x^{10} \log ^4(5)}{25 x^2} \, dx\) [154]
3.2.55
\(\int \genfrac {}{}{}{}{e^{-2-e^x} (-2-2 e^x x)}{x^2} \, dx\) [155]
3.2.56
\(\int \genfrac {}{}{}{}{(-5-e) e^x+e^{2 x}+(-e^x x \log (x)+(-5 x-e x+e^x x) \log (5+e-e^x) \log (x)) \log (\log (x))}{(e^{2 x} x+e^x (-5 x-e x)) \log (x) \log (\log (x))} \, dx\) [156]
3.2.57
\(\int \genfrac {}{}{}{}{1}{3} e^{x^2+\genfrac {}{}{}{}{1}{3} (-2+3 e^4+2 x)} (2+6 x) \, dx\) [157]
3.2.58
\(\int \genfrac {}{}{}{}{54-18 x+3 x^2+e^{x/3} x^3+18 x \log (2)}{3 x^3} \, dx\) [158]
3.2.59
\(\int \genfrac {}{}{}{}{-6 x+e^{3+x^2} (-1-10 x^2)+(-x-2 e^{3+x^2} x^2) \log (x)+(5 e^{3+x^2}+5 x+(e^{3+x^2}+x) \log (x)) \log (5 e^{3+x^2}+5 x+(e^{3+x^2}+x) \log (x))}{(5 e^{3+x^2}+5 x+(e^{3+x^2}+x) \log (x)) \log ^2(5 e^{3+x^2}+5 x+(e^{3+x^2}+x) \log (x))} \, dx\) [159]
3.2.60
\(\int \genfrac {}{}{}{}{-9-6 x-x^2-192 x^3+192 x^4-8 x^5-20 x^6+(48 x^3-48 x^4+2 x^5+5 x^6) \log (4)}{-36-24 x-4 x^2+(9+6 x+x^2) \log (4)} \, dx\) [160]
3.2.61
\(\int -\genfrac {}{}{}{}{8}{5 x^2} \, dx\) [161]
3.2.62
\(\int \genfrac {}{}{}{}{-15 e^{2 x}+e^x (4-4 x)+(-12+90 e^x) \log (\log (4))-135 \log ^2(\log (4))}{e^{2 x}-6 e^x \log (\log (4))+9 \log ^2(\log (4))} \, dx\) [162]
3.2.63
\(\int \genfrac {}{}{}{}{-13 x^6+11 x^7+(7 x^6-6 x^7) \log (x)}{1-2 x+x^2} \, dx\) [163]
3.2.64
\(\int \genfrac {}{}{}{}{e^4 x+e^{\genfrac {}{}{}{}{256-32 x^2+x^4}{e^4}} (e^4 (-4+x)-256 x^2+64 x^3+16 x^4-4 x^5)+e^4 (4-x) \log (4-x)}{e^{5+\genfrac {}{}{}{}{2 (256-32 x^2+x^4)}{e^4}} (-4+x)+e^{5+\genfrac {}{}{}{}{256-32 x^2+x^4}{e^4}} (8-2 x) \log (4-x)+e^5 (-4+x) \log ^2(4-x)} \, dx\) [164]
3.2.65
\(\int \genfrac {}{}{}{}{-1+6 x-x^2+3 \log (x)}{(12 x^2-4 x^3+4 x \log (x)) \log (\genfrac {}{}{}{}{2 x^3}{3 x-x^2+\log (x)})+(3 x^2-x^3+x \log (x)) \log (\genfrac {}{}{}{}{2 x^3}{3 x-x^2+\log (x)}) \log (\log (\genfrac {}{}{}{}{2 x^3}{3 x-x^2+\log (x)}))} \, dx\) [165]
3.2.66
\(\int \genfrac {}{}{}{}{-12+4 x+e^3 x^4}{4 x+e^3 x^4} \, dx\) [166]
3.2.67
\(\int \genfrac {}{}{}{}{-x+(2+e^{5/4}+x) \log (10+5 e^{5/4}+5 x)}{(2 x+e^{5/4} x+x^2) \log (10+5 e^{5/4}+5 x)} \, dx\) [167]
3.2.68
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{e^3} (25-5 x)}{-x-5 e^{e^3} x+5 \log ^2(x)}} (25 e^{e^3} x+125 e^{2 e^3} x+e^{e^3} (-250+50 x) \log (x)-25 e^{e^3} x \log ^2(x))}{x^3+10 e^{e^3} x^3+25 e^{2 e^3} x^3+(-10 x^2-50 e^{e^3} x^2) \log ^2(x)+25 x \log ^4(x)} \, dx\) [168]
3.2.69
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{60-5 x \log (\genfrac {}{}{}{}{e}{4+4 \log (5)+\log ^2(5)})}{x \log (\genfrac {}{}{}{}{e}{4+4 \log (5)+\log ^2(5)})}} (-60 \log (x)+x \log (\genfrac {}{}{}{}{e}{4+4 \log (5)+\log ^2(5)}))}{x^2 \log (\genfrac {}{}{}{}{e}{4+4 \log (5)+\log ^2(5)})} \, dx\) [169]
3.2.70
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8589934592-38654705664 x+81604378624 x^2-107374182400 x^3+98650030080 x^4-67175972864 x^5+35114713088 x^6-14394851328 x^7+4685824000 x^8-1218314240 x^9+253034496 x^{10}-41746432 x^{11}+5404672 x^{12}-537600 x^{13}+39680 x^{14}-2048 x^{15}+66 x^{16}-x^{17}-x^{34}}{4294967296-17179869184 x+32212254720 x^2-37580963840 x^3+30534533120 x^4-18320719872 x^5+8396996608 x^6-2998927360 x^7+843448320 x^8-187432960 x^9+32800768 x^{10}-4472832 x^{11}+465920 x^{12}-35840 x^{13}+1920 x^{14}-64 x^{15}+x^{16}}} (51539607552-219043332096 x+438086664192 x^2-547608330240 x^3+479157288960 x^4-311452237824 x^5+155726118912 x^6-61178118144 x^7+19118161920 x^8-4779540480 x^9+955908096 x^{10}-152076288 x^{11}+19009536 x^{12}-1827840 x^{13}+130560 x^{14}-6528 x^{15}+204 x^{16}-3 x^{17}+408 x^{33}-54 x^{34})}{-17179869184+73014444032 x-146028888064 x^2+182536110080 x^3-159719096320 x^4+103817412608 x^5-51908706304 x^6+20392706048 x^7-6372720640 x^8+1593180160 x^9-318636032 x^{10}+50692096 x^{11}-6336512 x^{12}+609280 x^{13}-43520 x^{14}+2176 x^{15}-68 x^{16}+x^{17}} \, dx\) [170]
3.2.71
\(\int \genfrac {}{}{}{}{27+4 e^{-\genfrac {}{}{}{}{1}{-3+x}}-18 x+3 x^2+e^x (144-96 x+16 x^2)}{9-6 x+x^2} \, dx\) [171]
3.2.72
\(\int \genfrac {}{}{}{}{(-2-2 e^{4 x+2 x^2}+4 x+4 x^2) \log ^2(\genfrac {}{}{}{}{25 e^{-x}}{4})+(-2 x-2 e^{4 x+2 x^2} x) \log (\genfrac {}{}{}{}{25 e^{-x}}{4}) \log (e^{-4 x-2 x^2} (x^2+e^{4 x+2 x^2} x^2))}{(x+e^{4 x+2 x^2} x) \log ^2(e^{-4 x-2 x^2} (x^2+e^{4 x+2 x^2} x^2))} \, dx\) [172]
3.2.73
\(\int \genfrac {}{}{}{}{-108+72 x-18 x^2-4 x^3+x^4+(-54+36 x-9 x^2+x^3) \log (4)+(-108 x+72 x^2-18 x^3+2 x^4) \log (\genfrac {}{}{}{}{-18+6 x-x^2}{-3+x})}{-54+36 x-9 x^2+x^3} \, dx\) [173]
3.2.74
\(\int \genfrac {}{}{}{}{320-5184 x+860 x^2+116 x^3+3 x^4+(-640 x+4928 x^2-712 x^3-108 x^4-3 x^5) \log (-4 x+x^2)+(-16 x+4 x^2+(16 x^2-4 x^3) \log (-4 x+x^2)) \log (x-x^2 \log (-4 x+x^2))}{4800 x-720 x^2-108 x^3-3 x^4+(-4800 x^2+720 x^3+108 x^4+3 x^5) \log (-4 x+x^2)} \, dx\) [174]
3.2.75
\(\int \genfrac {}{}{}{}{-2 x^3-2 x^2 \log (3)+(8 x^3+7 x^2 \log (3)) \log (x)+(-16 x^3-12 x^2 \log (3)) \log ^2(x)+(-24 x+16 x^3+(-12+12 x^2) \log (3)) \log ^3(x)}{4 \log ^3(x)} \, dx\) [175]
3.2.76
\(\int \genfrac {}{}{}{}{5-2 x+x^2+e^{-2+x^2} (-1+12 x-23 x^2+14 x^3-2 x^4)}{1-2 x+x^2} \, dx\) [176]
3.2.77
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (-6-x)} (-2-x)}{e^{\genfrac {}{}{}{}{1}{2} (-6-x)} x-x^2} \, dx\) [177]
3.2.78
\(\int (3-16 e^{-3+4 x}) \, dx\) [178]
3.2.79
\(\int e^{-15+2 e^{-3+x}} (-82944 e^3 x^3-331776 e^6 x^3-497664 e^9 x^3-331776 e^{12} x^3-82944 e^{15} x^3+e^x (-41472 x^4-165888 e^3 x^4-248832 e^6 x^4-165888 e^9 x^4-41472 e^{12} x^4)) \, dx\) [179]
3.2.80
\(\int \genfrac {}{}{}{}{e^{5+x+\genfrac {}{}{}{}{e^{5+x} (244-40 x+4 x^2)}{36 x+9 e^{2 x} x+36 x^2}} (-976-976 x+992 x^2-144 x^3+16 x^4+e^{2 x} (-244-244 x+44 x^2-4 x^3))}{144 x^2+9 e^{4 x} x^2+288 x^3+144 x^4+e^{2 x} (72 x^2+72 x^3)} \, dx\) [180]
3.2.81
\(\int \genfrac {}{}{}{}{960-40 \log (4 x)-60 \log ^2(4 x)}{768 x^4-96 x^4 \log ^2(4 x)+3 x^4 \log ^4(4 x)} \, dx\) [181]
3.2.82
\(\int \genfrac {}{}{}{}{1}{\log (3)} \, dx\) [182]
3.2.83
\(\int \genfrac {}{}{}{}{1}{5} (5 x^3+e^x (1+x)) \, dx\) [183]
3.2.84
\(\int \genfrac {}{}{}{}{(960-960 x+300 x^2-30 x^3+e^x (-960+960 x-300 x^2+30 x^3)) \log (-2+x)+(120-60 x+e^x (-120+60 x)) \log ^2(-2+x)+(-480 x+240 x^2-30 x^3+e^x (480 x-240 x^2+30 x^3)+(480 x-360 x^2+60 x^3+e^x (-1440 x+1320 x^2-360 x^3+30 x^4)) \log (-2+x)+e^x (-120 x+60 x^2) \log ^2(-2+x)) \log (x)}{-512 x+768 x^2-448 x^3+128 x^4-18 x^5+x^6+(-128 x+128 x^2-40 x^3+4 x^4) \log (-2+x)+(-8 x+4 x^2) \log ^2(-2+x)} \, dx\) [184]
3.2.85
\(\int (-1+12 x^3+e^{e^x} (4 x+2 e^x x^2)) \, dx\) [185]
3.2.86
\(\int \genfrac {}{}{}{}{768 x^2-64 x^3-448 x^4+56 x^5-256 x^6+e^{2 x} (144 x^2-84 x^4-48 x^6)+e^{3 x} (12 x^2-7 x^4-4 x^6)+e^x (576 x^2-16 x^3-328 x^4+14 x^5-206 x^6+8 x^8)}{1024-3584 x^2+5184 x^4-3584 x^6+1024 x^8+e^{3 x} (16-56 x^2+81 x^4-56 x^6+16 x^8)+e^{2 x} (192-672 x^2+972 x^4-672 x^6+192 x^8)+e^x (768-2688 x^2+3888 x^4-2688 x^6+768 x^8)} \, dx\) [186]
3.2.87
\(\int \genfrac {}{}{}{}{1280 e^6 x^4+1024 x^5+2048 e^3 x^5+768 x^6}{(e^{12}+4 e^9 x+x^2+2 x^3+x^4+e^6 (2 x+6 x^2)+e^3 (4 x^2+4 x^3)) \log ^4(2)} \, dx\) [187]
3.2.88
\(\int \genfrac {}{}{}{}{(-18 x+2 x^3) \log (5)+(-18-6 x+(-6 x^2-2 x^3) \log (5)) \log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})+(54-18 x+(18 x^2-6 x^3) \log (5)) \log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)}) \log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2})+(9-3 x+(3 x^2-x^3) \log (5)) \log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)}) \log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2}) \log (\log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2}))}{(-81+81 x-27 x^2+3 x^3+(-27 x^2+27 x^3-9 x^4+x^5) \log (5)) \log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)}) \log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2})+(-54+36 x-6 x^2+(-18 x^2+12 x^3-2 x^4) \log (5)) \log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)}) \log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2}) \log (\log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2}))+(-9+3 x+(-3 x^2+x^3) \log (5)) \log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)}) \log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2}) \log ^2(\log (\genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{3+x^2 \log (5)}{\log (5)})}{9-6 x+x^2}))} \, dx\) [188]
3.2.89
\(\int \genfrac {}{}{}{}{-4-10 x-14 x^2-6 x^3}{4 x+4 x^2+3 x^3+x^4} \, dx\) [189]
3.2.90
\(\int \genfrac {}{}{}{}{-30+3 e^{2 x}+e^{9 x+x^2} (1-e^{2 x}-2 x)+(-6+2 e^{9 x+x^2}) \log (-3+e^{9 x+x^2})}{-15-3 e^{2 x} x+e^{9 x+x^2} (5+e^{2 x} x)+(-3+e^{9 x+x^2}) \log (-3+e^{9 x+x^2})} \, dx\) [190]
3.2.91
\(\int \genfrac {}{}{}{}{4 \log (5 e^4 x^2)}{x} \, dx\) [191]
3.2.92
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^2}{22+e^x}} (132 x+e^x (6 x-3 x^2))}{-7260+484 e^5+e^{2 x} (-15+e^5)+e^x (-660+44 e^5)} \, dx\) [192]
3.2.93
\(\int \genfrac {}{}{}{}{2 e^{5 x}+e^{4 x} (14-8 x)+8 x+24 x^2+14 x^3-2 x^4+e^{3 x} (-14-40 x+12 x^2)+e^{2 x} (8+58 x+36 x^2-8 x^3)+e^x (-30 x-60 x^2-8 x^3+2 x^4)}{64+e^{3 x}+e^{2 x} (12-3 x)-48 x+12 x^2-x^3+e^x (48-24 x+3 x^2)} \, dx\) [193]
3.2.94
\(\int \genfrac {}{}{}{}{256 e^8+48 x^5-72 x^6+e^4 (-128 x^2+96 x^3)}{9 x^5} \, dx\) [194]
3.2.95
\(\int \genfrac {}{}{}{}{(-8-32 x+48 x^2) \log (x+2 x^2-2 x^3)}{-25 x-50 x^2+50 x^3} \, dx\) [195]
3.2.96
\(\int \genfrac {}{}{}{}{8 x^4+e^{\genfrac {}{}{}{}{-1-51 x+4 x^3}{4 x}} (4-17 x+32 x^3-8 x^4)}{4 x^3} \, dx\) [196]
3.2.97
\(\int (4 e^{-3 x}+e^x)^{-1+20 x} (-240 e^{-3 x} x+20 e^x x+(80 e^{-3 x}+20 e^x) \log (4 e^{-3 x}+e^x)) \, dx\) [197]
3.2.98
\(\int \genfrac {}{}{}{}{256 x-192 x^2+32 x^3-8 x^5+22 x^6-10 x^7+(4 x^6-2 x^7) \log (-2+x)+(-4 x^6+2 x^7) \log (x^2)+(256-192 x+32 x^2-8 x^4+22 x^5-10 x^6+(4 x^5-2 x^6) \log (-2+x)+(-4 x^5+2 x^6) \log (x^2)) \log (\genfrac {}{}{}{}{16-5 x^4-x^4 \log (-2+x)+x^4 \log (x^2)}{x^4})}{-32 x+16 x^2+10 x^5-5 x^6+(2 x^5-x^6) \log (-2+x)+(-2 x^5+x^6) \log (x^2)} \, dx\) [198]
3.2.99
\(\int \genfrac {}{}{}{}{8+8 x+2 x^2+8 (i \pi +\log (3))+(-4-x) \log (16+8 x+x^2)}{4+x} \, dx\) [199]
3.2.100
\(\int \genfrac {}{}{}{}{35+32 x+8 x^2+\log (3)}{4+4 x+x^2} \, dx\) [200]
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