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3.7
Integrals 601 to 700
3.7.1
\(\int \genfrac {}{}{}{}{-10+30 x-44 x^2+32 x^3+5 x^4-25 x^5+15 x^6-3 x^7+(-4+16 x-32 x^2+80 x^3-70 x^4+32 x^5-6 x^6) \log (\genfrac {}{}{}{}{2 x-4 x^2+6 x^3-4 x^4+x^5}{1-4 x+6 x^2-4 x^3+x^4})+(2-6 x+10 x^2-10 x^3+5 x^4-x^5) \log ^2(\genfrac {}{}{}{}{2 x-4 x^2+6 x^3-4 x^4+x^5}{1-4 x+6 x^2-4 x^3+x^4})}{-2 x^2+6 x^3-10 x^4+10 x^5-5 x^6+x^7} \, dx\) [601]
3.7.2
\(\int \genfrac {}{}{}{}{2 x-3 x^2-20 x^4+e^{2-x} (4+9 x+14 x^3-6 x^4)+(-5 x^2-6 x^4+e^{2-x} (2+4 x-3 x^2+4 x^3-2 x^4)) \log (x)+(-x^2-e^{2-x} x^2) \log ^2(x)}{x^2} \, dx\) [602]
3.7.3
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{45+(25 x^2+10 x^3+x^4) \log (\genfrac {}{}{}{}{19+x}{3})}{x^2 \log (\genfrac {}{}{}{}{19+x}{3})}} (-45 x+(-1710-90 x) \log (\genfrac {}{}{}{}{19+x}{3})+(190 x^3+48 x^4+2 x^5) \log ^2(\genfrac {}{}{}{}{19+x}{3}))}{(19 x^3+x^4) \log ^2(\genfrac {}{}{}{}{19+x}{3})} \, dx\) [603]
3.7.4
\(\int \genfrac {}{}{}{}{-16 x+(-4-4 x) \log (3)+e^x (16+8 \log (3))}{-4 x^2+(3 x-e^{5/3} x-x^2) \log (3)+e^x (4 x+(-3+e^{5/3}+x) \log (3))+(e^x \log (3)-x \log (3)) \log (-e^x+x)} \, dx\) [604]
3.7.5
\(\int \genfrac {}{}{}{}{-2-238 x+15 e^3 x+(-238 x+15 e^3 x) \log (x)}{-240 x+15 e^3 x} \, dx\) [605]
3.7.6
\(\int \genfrac {}{}{}{}{-e^5 \log (5)+e^5 \log (5) \log (x)}{x^2} \, dx\) [606]
3.7.7
\(\int \genfrac {}{}{}{}{352-184 x^2+4 x^4+e (-44 x+x^3)+(32-4 e x-16 x^2) \log (e+4 x)}{4 e+16 x} \, dx\) [607]
3.7.8
\(\int \genfrac {}{}{}{}{e^{-6+\genfrac {}{}{}{}{-4+4 e^3+e^6 (-1+4 x^2)+(-4 e^3+2 e^6) \log (5)-e^6 \log ^2(5)}{e^6 x^2}} (32-8 x+e^3 (-32+8 x)+e^6 (8-2 x+4 x^2-2 x^3)+(e^3 (32-8 x)+e^6 (-16+4 x)) \log (5)+e^6 (8-2 x) \log ^2(5))}{x^2} \, dx\) [608]
3.7.9
\(\int \genfrac {}{}{}{}{2 x^3-2 \log (3)}{x^3} \, dx\) [609]
3.7.10
\(\int e^{2 e^{-2-x-x^2}} (1+e^{-2-x-x^2} (32+62 x-4 x^2)) \, dx\) [610]
3.7.11
\(\int \genfrac {}{}{}{}{2 e^{4+4 x}-2 x-4 e^{4+3 x} x+e^{4+2 x} (-10+2 x^2)+e^{4+x} (20 x+4 x^2)+e^4 (-x-10 x^2-2 x^3)+(8 x^3+e^{4+3 x} (-4 x+4 x^2)+e^4 (-20 x^2-2 x^3)+e^{2 x} (8 x+e^4 (-18 x-4 x^3))+e^x (-16 x^2+e^4 (20 x+20 x^2+4 x^3))) \log (x)+(-8 e^{4 x} x+32 e^{3 x} x^2-48 e^{2 x} x^3+32 e^x x^4-8 x^5) \log ^2(x)}{2 x+(-8 e^{2 x} x+16 e^x x^2-8 x^3) \log (x)+(8 e^{4 x} x-32 e^{3 x} x^2+48 e^{2 x} x^3-32 e^x x^4+8 x^5) \log ^2(x)} \, dx\) [611]
3.7.12
\(\int \genfrac {}{}{}{}{e^{11/4} (3-3 x)-6 e^{11/4} \log (2 x)}{2 x^3} \, dx\) [612]
3.7.13
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{x^{10}+(-8 x^6+2 x^7) \log ^2(2)+(16 x^2-8 x^3+x^4) \log ^4(2)}{\log ^4(2)}} (-30 x^9+(144 x^5-42 x^6) \log ^2(2)+2 e^{x^2+\genfrac {}{}{}{}{x^{10}+(-8 x^6+2 x^7) \log ^2(2)+(16 x^2-8 x^3+x^4) \log ^4(2)}{\log ^4(2)}} x \log ^4(2)+(-96 x+72 x^2-12 x^3) \log ^4(2))}{\log ^4(2)} \, dx\) [613]
3.7.14
\(\int \genfrac {}{}{}{}{-20 x^2+4 e x^2+(10 x^2-2 e x^2) \log (x)+(-2+e^x (-1+x)) \log ^3(x)}{x^2 \log ^3(x)} \, dx\) [614]
3.7.15
\(\int \genfrac {}{}{}{}{144-8 x+8 x \log (3)+(-108-48 x+16 x^2+(-36+8 x) \log (3)) \log (\genfrac {}{}{}{}{1}{9} (45-10 x))+(9 x^2-2 x^3) \log ^2(\genfrac {}{}{}{}{1}{9} (45-10 x))}{-144+32 x+(72 x-16 x^2) \log (\genfrac {}{}{}{}{1}{9} (45-10 x))+(-9 x^2+2 x^3) \log ^2(\genfrac {}{}{}{}{1}{9} (45-10 x))} \, dx\) [615]
3.7.16
\(\int (5 e x+\genfrac {}{}{}{}{1}{2} e^{1+e^x} x (10+5 e^x x)) \, dx\) [616]
3.7.17
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{-9+6 x+3 x^2}{x}} (-9+x-3 x^2)}{x} \, dx\) [617]
3.7.18
\(\int \genfrac {}{}{}{}{e^{7-e^{-\genfrac {}{}{}{}{x}{-x+\log (10+5 x)}}} (2 x^2+x^3+(-4 x-2 x^2) \log (10+5 x)+(2+x) \log ^2(10+5 x)+e^{-\genfrac {}{}{}{}{x}{-x+\log (10+5 x)}} (-x^2+(2 x+x^2) \log (10+5 x)))}{2 x^2+x^3+(-4 x-2 x^2) \log (10+5 x)+(2+x) \log ^2(10+5 x)} \, dx\) [618]
3.7.19
\(\int \genfrac {}{}{}{}{e^{5+e^{\genfrac {}{}{}{}{-40+8 x-96 x^2}{x}}+\genfrac {}{}{}{}{-40+8 x-96 x^2}{x}} (40-96 x^2)}{x^2} \, dx\) [619]
3.7.20
\(\int \genfrac {}{}{}{}{10 x^2-6 x^3+6 x^4+(-15 x^2+12 x^3-15 x^4) \log (x^2) \log (\log (x^2))+(24-48 x) \log (x^2) \log ^2(\log (x^2))}{6 \log (x^2) \log ^2(\log (x^2))} \, dx\) [620]
3.7.21
\(\int \genfrac {}{}{}{}{-x+x^2+e^{-x+x^2} (-1-x+2 x^2)}{5 x^2} \, dx\) [621]
3.7.22
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{9} (9+9 e^{1+x}-9 x+x^4)} (-36-9 x+9 e^{1+x} x+4 x^4)}{9 x^5} \, dx\) [622]
3.7.23
\(\int \genfrac {}{}{}{}{e^x (-1600 x^2-64 x^5)+e^{5 e^{-x}} (e^x (3200-256 x^3)+(16000 x+640 x^4) \log (\genfrac {}{}{}{}{25+x^3}{x}))}{e^x (25 x^7+x^{10})+e^{5 e^{-x}+x} (300 x^5+12 x^8) \log (\genfrac {}{}{}{}{25+x^3}{x})+e^{10 e^{-x}+x} (1200 x^3+48 x^6) \log ^2(\genfrac {}{}{}{}{25+x^3}{x})+e^{15 e^{-x}+x} (1600 x+64 x^4) \log ^3(\genfrac {}{}{}{}{25+x^3}{x})} \, dx\) [623]
3.7.24
\(\int \genfrac {}{}{}{}{1260 x^2+16 x^3+(-252 x^2-3 x^3) \log (84+x)}{2100+25 x+(-840-10 x) \log (84+x)+(84+x) \log ^2(84+x)} \, dx\) [624]
3.7.25
\(\int \genfrac {}{}{}{}{752+256 e^3}{2209+256 e^6+e^3 (1504-2560 x)-7520 x+6400 x^2} \, dx\) [625]
3.7.26
\(\int \genfrac {}{}{}{}{e^{-x} (-819200000000-25600000000 x-30720000000000 x^2-1024000000000 x^3-537600000000000 x^4-19200000000000 x^5-5824000000000000 x^6-224000000000000 x^7-43680000000000000 x^8-1820000000000000 x^9-240240000000000000 x^{10}-10920000000000000 x^{11}-1001000000000000000 x^{12}-50050000000000000 x^{13}-3217500000000000000 x^{14}-178750000000000000 x^{15}-8043750000000000000 x^{16}-502734375000000000 x^{17}-15640625000000000000 x^{18}-1117187500000000000 x^{19}-23460937500000000000 x^{20}-1955078125000000000 x^{21}-26660156250000000000 x^{22}-2666015625000000000 x^{23}-22216796875000000000 x^{24}-2777099609375000000 x^{25}-12817382812500000000 x^{26}-2136230468750000000 x^{27}-4577636718750000000 x^{28}-1144409179687500000 x^{29}-762939453125000000 x^{30}-381469726562500000 x^{31}-59604644775390625 x^{33})}{x^{33}} \, dx\) [626]
3.7.27
\(\int \genfrac {}{}{}{}{(32+16 x+2 x^2) \log (-2+x)+(-16+4 x+2 x^2) \log ^2(-2+x)}{-2+x} \, dx\) [627]
3.7.28
\(\int \genfrac {}{}{}{}{-98 x+58 x^2+(-14-29 x) \log (2)-14 x \log (\genfrac {}{}{}{}{1}{x})}{14 x} \, dx\) [628]
3.7.29
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x+(24-6 x+(-12+3 x) \log (5)) \log ^2(5 x)}{(-12+3 x) \log ^2(5 x)}} (8-2 x-4 \log (5 x))}{(48-24 x+3 x^2) \log ^3(5 x)} \, dx\) [629]
3.7.30
\(\int \genfrac {}{}{}{}{e^{e^{3+x}} (8 \log ^7(4+x)+e^{3+x} (4+x) \log ^8(4+x))}{4+x} \, dx\) [630]
3.7.31
\(\int \genfrac {}{}{}{}{-x \log (2)+e^{e^{\genfrac {}{}{}{}{-4+x^4 \log (2)}{x \log (2)}}} (-5 x \log (2)+e^{\genfrac {}{}{}{}{-4+x^4 \log (2)}{x \log (2)}} (20+15 x^4 \log (2)))}{5 x^3 \log (2)} \, dx\) [631]
3.7.32
\(\int \genfrac {}{}{}{}{5 e^{16 x^2-4 x^3}+e^{16 x^2-4 x^3} (-5+160 x^2-60 x^3) \log (\genfrac {}{}{}{}{1}{x})+20 \log ^2(\genfrac {}{}{}{}{1}{x})}{e^{32 x^2-8 x^3}+e^{16 x^2-4 x^3} (-8-2 x) \log (\genfrac {}{}{}{}{1}{x})+(16+8 x+x^2) \log ^2(\genfrac {}{}{}{}{1}{x})} \, dx\) [632]
3.7.33
\(\int \genfrac {}{}{}{}{-4 x-2 e^3 x-6 x^2+(10+4 e^3) \log (3)+(-6 x-2 e^3 x+6 x^2+(6+2 e^3-6 x) \log (3)) \log (x-\log (3))+\log (2 x) (-x+2 \log (3)+(-x+\log (3)) \log (x-\log (3)))+(-6 x-2 e^3 x+6 x^2+(6+2 e^3-6 x) \log (3)+(-x+\log (3)) \log (2 x)) \log (\genfrac {}{}{}{}{36+4 e^6+e^3 (24-24 x)-72 x+36 x^2+(12+4 e^3-12 x) \log (2 x)+\log ^2(2 x)}{4 x^2})}{(-6 x-2 e^3 x+6 x^2+(6+2 e^3-6 x) \log (3)) \log ^2(x-\log (3))+(-x+\log (3)) \log (2 x) \log ^2(x-\log (3))+((-12 x-4 e^3 x+12 x^2+(12+4 e^3-12 x) \log (3)) \log (x-\log (3))+(-2 x+2 \log (3)) \log (2 x) \log (x-\log (3))) \log (\genfrac {}{}{}{}{36+4 e^6+e^3 (24-24 x)-72 x+36 x^2+(12+4 e^3-12 x) \log (2 x)+\log ^2(2 x)}{4 x^2})+(-6 x-2 e^3 x+6 x^2+(6+2 e^3-6 x) \log (3)+(-x+\log (3)) \log (2 x)) \log ^2(\genfrac {}{}{}{}{36+4 e^6+e^3 (24-24 x)-72 x+36 x^2+(12+4 e^3-12 x) \log (2 x)+\log ^2(2 x)}{4 x^2})} \, dx\) [633]
3.7.34
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-8+x-2 \log (x)+10 x \log (4-2 x-\log (5))}{2 x \log (4-2 x-\log (5))}} (8 x-x^2+(-12+6 x+3 \log (5)) \log (4-2 x-\log (5))+\log (x) (2 x+(-4+2 x+\log (5)) \log (4-2 x-\log (5))))}{(-4 x^2+2 x^3+x^2 \log (5)) \log ^2(4-2 x-\log (5))} \, dx\) [634]
3.7.35
\(\int \genfrac {}{}{}{}{e^{-35+x+\log ^2(x)} (x+2 \log (x))}{x} \, dx\) [635]
3.7.36
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e}{\log (e^{3/x}+x)}} (-3 e^{1+\genfrac {}{}{}{}{3}{x}}+e x^2)}{(e^{3/x} x^2+x^3) \log ^2(e^{3/x}+x)} \, dx\) [636]
3.7.37
\(\int \genfrac {}{}{}{}{e^x (-20+12 x+7 x^2+x^4)+e^3 (-x^3+3 x^4+2 x^5)+e^x (-2+x+x^2) \log (2+x)+(e^3 (20 x^2+8 x^3+x^4+x^5)+e^3 (2 x^2+x^3) \log (2+x)) \log (10-x+x^2+\log (2+x))}{20 x^2+8 x^3+x^4+x^5+(2 x^2+x^3) \log (2+x)} \, dx\) [637]
3.7.38
\(\int \genfrac {}{}{}{}{-64-16 x+36 x^2-11 x^3+x^4+e^{\genfrac {}{}{}{}{-16 x+8 x^2-x^3+25 \log ^2(3)}{16-8 x+x^2}} (-64 x+48 x^2-12 x^3+x^4+50 x \log ^2(3))}{-64 x+48 x^2-12 x^3+x^4} \, dx\) [638]
3.7.39
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{-137 x+25 x^2+4 x^3}{-28+5 x+x^2}} x^2+\genfrac {}{}{}{}{-137 x+25 x^2+4 x^3}{-28+5 x+x^2}} (1568 x+3276 x^2-1462 x^3-54 x^4+42 x^5+4 x^6)}{784-280 x-31 x^2+10 x^3+x^4} \, dx\) [639]
3.7.40
\(\int \genfrac {}{}{}{}{25 \sqrt [35]{e}+(1-10 \sqrt [35]{e}) e^x+e^{\genfrac {}{}{}{}{1}{35}+2 x}}{25 \sqrt [35]{e}-10 e^{\genfrac {}{}{}{}{1}{35}+x}+e^{\genfrac {}{}{}{}{1}{35}+2 x}} \, dx\) [640]
3.7.41
\(\int \genfrac {}{}{}{}{-\log (3)+e^{16+\log ^2(x)} x^8 (-35 \log (3) \log (5)-10 \log (3) \log (5) \log (x))}{x^2 \log (5)} \, dx\) [641]
3.7.42
\(\int \genfrac {}{}{}{}{-5 x+e^x (-2+2 x)}{2 x^2} \, dx\) [642]
3.7.43
\(\int \genfrac {}{}{}{}{1}{e^7} \, dx\) [643]
3.7.44
\(\int \genfrac {}{}{}{}{-16 x^2+e^{576-48 x+x^2+(48-2 x) \log (x)+\log ^2(x)} (4 x^2+(-240+250 x-106 x^2+100 x^3-4 x^4+(-10+10 x-4 x^2+4 x^3) \log (x)) \log (5+2 x^2))}{(5 x+2 x^3) \log ^2(5+2 x^2)} \, dx\) [644]
3.7.45
\(\int \genfrac {}{}{}{}{-8+24 x^2+e^x (-4+4 x-x^2)}{3 x^2} \, dx\) [645]
3.7.46
\(\int \genfrac {}{}{}{}{-5-10 x+8 e^{\genfrac {}{}{}{}{10+2 x}{1+x}} x-5 x^2}{x+2 x^2+x^3} \, dx\) [646]
3.7.47
\(\int \genfrac {}{}{}{}{4800-4800 x+3600 x^2-4800 x^3+2100 x^4-900 x^5+75 x^6-75 x^7+e^8 (-600 x+600 x^2+150 x^3-150 x^4)+e^4 (1800 x^2-1800 x^3-150 x^4+150 x^5)+(4800-9600 x+3600 x^2-7500 x^3+1500 x^4-1875 x^5+225 x^6-150 x^7+e^8 (-300 x+600 x^2-75 x^3+150 x^4)+e^4 (600 x^2-1200 x^3+150 x^4-300 x^5)) \log (\genfrac {}{}{}{}{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4})+(-8000+16000 x-6000 x^2+12500 x^3-2500 x^4+3125 x^5-375 x^6+250 x^7+e^8 (500 x-1000 x^2+125 x^3-250 x^4)+e^4 (-1000 x^2+2000 x^3-250 x^4+500 x^5)) \log ^2(\genfrac {}{}{}{}{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4})}{-576-432 x^2+36 x^3-108 x^4+9 x^5-9 x^6+e^8 (36 x+9 x^3)+e^4 (-72 x^2-18 x^4)+(1920+1440 x^2-120 x^3+360 x^4-30 x^5+30 x^6+e^8 (-120 x-30 x^3)+e^4 (240 x^2+60 x^4)) \log (\genfrac {}{}{}{}{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4})+(-1600-1200 x^2+100 x^3-300 x^4+25 x^5-25 x^6+e^8 (100 x+25 x^3)+e^4 (-200 x^2-50 x^4)) \log ^2(\genfrac {}{}{}{}{16 x-e^8 x^2+8 x^3+2 e^4 x^3-x^4+x^5}{16+8 x^2+x^4})} \, dx\) [647]
3.7.48
\(\int \genfrac {}{}{}{}{1}{3} (3+6 x+e^{x^2} (1+2 x^2)) \, dx\) [648]
3.7.49
\(\int \genfrac {}{}{}{}{e^6 (-2+3 x)}{-4 x+4 x^2} \, dx\) [649]
3.7.50
\(\int \genfrac {}{}{}{}{-8 x^4+e^{\genfrac {}{}{}{}{2 (-3+2 x)}{x}} (3750+3125 x+600 x^2+100 x^3)}{x^3} \, dx\) [650]
3.7.51
\(\int \genfrac {}{}{}{}{4+8 x^2-2 x^3-24 x^6+6 x^7}{-4 x+x^2} \, dx\) [651]
3.7.52
\(\int \genfrac {}{}{}{}{-20+(10 x-35 x^2+30 x^3) \log (\genfrac {}{}{}{}{2-3 x}{2 x})}{(-2 x+3 x^2) \log (\genfrac {}{}{}{}{2-3 x}{2 x})} \, dx\) [652]
3.7.53
\(\int \genfrac {}{}{}{}{e^9+5 x^2+e^x x^3+x^2 \log (\genfrac {}{}{}{}{e^{e^x}}{5})}{x^2} \, dx\) [653]
3.7.54
\(\int \genfrac {}{}{}{}{10+5 x+(4+2 x) \log (x)+(-2-x) \log ^2(x)+(-10-10 x+(2+2 x) \log ^2(x)) \log (\genfrac {}{}{}{}{5 e^{25}-e^{25} \log ^2(x)}{x})}{-5+\log ^2(x)} \, dx\) [654]
3.7.55
\(\int -2 x \, dx\) [655]
3.7.56
\(\int \genfrac {}{}{}{}{50 x^4+10 x^5-10 x^6+e^x (-50 x^2-10 x^3+10 x^4)+(100 x^3+10 x^4-20 x^5+e^x (-100 x-10 x^2+20 x^3)) \log (x)+(50 x^2-10 x^4+e^x (-50+10 x^2)) \log ^2(x)+(-51 x^4-9 x^5+8 x^6+e^x (x^2+24 x^3+7 x^4-5 x^5)+(-100 x^3-8 x^4+16 x^5+e^x (48 x^2+9 x^3-10 x^4)) \log (x)+(-50 x^2+8 x^4+e^x (25 x+2 x^2-5 x^3)) \log ^2(x)) \log (x^2)+(10 x^4+2 x^5-2 x^6+e^x (-10 x^2-2 x^3+2 x^4)+(20 x^3+2 x^4-4 x^5+e^x (-20 x-2 x^2+4 x^3)) \log (x)+(10 x^2-2 x^4+e^x (-10+2 x^2)) \log ^2(x)+(-10 x^4-2 x^5+2 x^6+e^x (5 x^3+x^4-x^5)+(-20 x^3-2 x^4+4 x^5+e^x (10 x^2+x^3-2 x^4)) \log (x)+(-10 x^2+2 x^4+e^x (5 x-x^3)) \log ^2(x)) \log (x^2)) \log (\genfrac {}{}{}{}{5 x+x^2-x^3+(5-x^2) \log (x)}{x+\log (x)})}{-5 x^7-x^8+x^9+e^{2 x} (-5 x^3-x^4+x^5)+e^x (10 x^5+2 x^6-2 x^7)+(-10 x^6-x^7+2 x^8+e^{2 x} (-10 x^2-x^3+2 x^4)+e^x (20 x^4+2 x^5-4 x^6)) \log (x)+(-5 x^5+x^7+e^{2 x} (-5 x+x^3)+e^x (10 x^3-2 x^5)) \log ^2(x)} \, dx\) [656]
3.7.57
\(\int \genfrac {}{}{}{}{-27+3 e^{256}-36 x^3+(27-3 e^{256}+9 x-18 x^3) \log (x)+(-27+3 e^{256}-9 x+18 x^3) \log (\genfrac {}{}{}{}{1}{3} (-9+e^{256}-3 x+6 x^3))}{(-9+e^{256}-3 x+6 x^3) \log ^2(x)+(18-2 e^{256}+6 x-12 x^3) \log (x) \log (\genfrac {}{}{}{}{1}{3} (-9+e^{256}-3 x+6 x^3))+(-9+e^{256}-3 x+6 x^3) \log ^2(\genfrac {}{}{}{}{1}{3} (-9+e^{256}-3 x+6 x^3))} \, dx\) [657]
3.7.58
\(\int \genfrac {}{}{}{}{-200 e^{3 x}+e^{2 x} (200-200 x)+(-20 e^x x^3+20 e^{2 x} x^3) \log (\genfrac {}{}{}{}{5}{\log (625)})+(-2 x^4+6 e^x x^4-6 e^{2 x} x^4+2 e^{3 x} x^4) \log ^2(\genfrac {}{}{}{}{5}{\log (625)})}{(-x^3+3 e^x x^3-3 e^{2 x} x^3+e^{3 x} x^3) \log ^2(\genfrac {}{}{}{}{5}{\log (625)})} \, dx\) [658]
3.7.59
\(\int \genfrac {}{}{}{}{-20+40 x-29 x^2+2 x^3-x^4+e^{x^2} (2 x^3-4 x^4+2 x^5)}{x^2-2 x^3+x^4} \, dx\) [659]
3.7.60
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-6544 x^5+6560 x^6-80 x^7+(4-405 x+5 x^2) \log ^2(2)}{80 x^5-80 x^6+5 x \log ^2(2)}} (256 x^{10}-2560 x^{11}+1280 x^{12}+(-320 x^4+128 x^5+160 x^6-160 x^7) \log ^2(2)+(-4+5 x^2) \log ^4(2))}{1280 x^{10}-2560 x^{11}+1280 x^{12}+(160 x^6-160 x^7) \log ^2(2)+5 x^2 \log ^4(2)} \, dx\) [660]
3.7.61
\(\int \genfrac {}{}{}{}{15+10 x-5 x^2+30 e^{x^6} x^7}{x^2} \, dx\) [661]
3.7.62
\(\int \genfrac {}{}{}{}{-13+e^{4-x^2} (2+4 x^2)+e^{3+x} (x^2+x^3)}{x^2} \, dx\) [662]
3.7.63
\(\int \genfrac {}{}{}{}{1}{8} (16 x+e^{\genfrac {}{}{}{}{1}{8} (24 x+16 x^2-x^5)} (24+32 x-5 x^4)) \, dx\) [663]
3.7.64
\(\int \genfrac {}{}{}{}{2+x+(128 e^{2 x^2}-64 e^{x^2} x+8 x^2) \log (x^2)+(4 x^2+128 e^{2 x^2} x^2+e^{x^2} (-16 x-32 x^3)) \log ^2(x^2)}{2 x} \, dx\) [664]
3.7.65
\(\int \genfrac {}{}{}{}{5}{32-64 x+32 x^2+(32-32 x) \log (16)+8 \log ^2(16)} \, dx\) [665]
3.7.66
\(\int \genfrac {}{}{}{}{e^{\sqrt [4]{e}} (-4+x)-4 x-2 x^2+3 x^3}{4 x^2+8 x^3+4 x^4+e^{\sqrt [4]{e}} (4 x+4 x^2)+(e^{\sqrt [4]{e}} x^2+x^3+x^4) \log (\genfrac {}{}{}{}{1}{2} (e^{\sqrt [4]{e}} x+x^2+x^3))} \, dx\) [666]
3.7.67
\(\int \genfrac {}{}{}{}{-144 x^2-240 x^3-100 x^4+(192 x^2+460 x^3+250 x^4) \log (x)+(72 x^2+80 x^3) \log ^2(x)+(12 x+6 x^2) \log ^3(x)}{\log ^3(x)} \, dx\) [667]
3.7.68
\(\int \genfrac {}{}{}{}{1}{4} (4+5 e^{-5 x/4}) \, dx\) [668]
3.7.69
\(\int \genfrac {}{}{}{}{-4+e^x x \log ^5(x)-2 e^{2 e^x+x} x \log ^5(x)}{x \log ^5(x)} \, dx\) [669]
3.7.70
\(\int \genfrac {}{}{}{}{-1+\log (x^2)}{x-2 x^2+x \log (x^2)} \, dx\) [670]
3.7.71
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-30000 \log ^4(\genfrac {}{}{}{}{x}{5})+x^5 \log ^4(x)}{2500 \log ^4(\genfrac {}{}{}{}{x}{5})}} (4 x^4 \log (\genfrac {}{}{}{}{x}{5}) \log ^3(x)+(-4 x^4+5 x^4 \log (\genfrac {}{}{}{}{x}{5})) \log ^4(x))}{2500 \log ^5(\genfrac {}{}{}{}{x}{5})} \, dx\) [671]
3.7.72
\(\int \genfrac {}{}{}{}{e^{-1+2 x}+2 e^{-2+4 x} x+(1+2 e^{-1+2 x} x) \log (\genfrac {}{}{}{}{3 x}{2})}{x} \, dx\) [672]
3.7.73
\(\int \genfrac {}{}{}{}{-3 x^2+8 x^3+e^{\genfrac {}{}{}{}{6 e^{25}}{x^2}} (-12 e^{25} x+2 x^3)+(2 x-4 x^2) \log (4)+e^{\genfrac {}{}{}{}{3 e^{25}}{x^2}} (-24 e^{25} x-2 x^2+8 x^3+(12 e^{25}-2 x^2) \log (4))+(2 x-4 x^2+e^{\genfrac {}{}{}{}{3 e^{25}}{x^2}} (12 e^{25}-2 x^2)) \log (x)}{x^2} \, dx\) [673]
3.7.74
\(\int \genfrac {}{}{}{}{-9+80 e^{4 x}+16 e^{5 x}+e^{2 x} (152-4 x)+e^{3 x} (156+8 x)+e^x (49-16 x+x^2)+(280 e^{3 x}+80 e^{4 x}+e^x (170-10 x)+e^{2 x} (340+20 x)) \log (x)+(15+300 e^{2 x}+140 e^{3 x}+e^x (170+10 x)) \log ^2(x)+(100 e^x+100 e^{2 x}) \log ^3(x)+25 e^x \log ^4(x)}{49+80 e^{3 x}+16 e^{4 x}+14 x+x^2+e^{2 x} (156+8 x)+e^x (140+20 x)+(140+280 e^{2 x}+80 e^{3 x}+20 x+e^x (340+20 x)) \log (x)+(170+300 e^x+140 e^{2 x}+10 x) \log ^2(x)+(100+100 e^x) \log ^3(x)+25 \log ^4(x)} \, dx\) [674]
3.7.75
\(\int \genfrac {}{}{}{}{-2+e^x (1+(-2-x) \log (5))+(-2 x+e^x x \log (5)) \log (x)+(2+e^x (-1+(2+x) \log (5))) \log (x) \log (\genfrac {}{}{}{}{e^x \log (5) \log (x)}{2+e^x (-1+(2+x) \log (5))})}{(2 x^2+e^x (-x^2+(2 x^2+x^3) \log (5))) \log (x)+(4 x+e^x (-2 x+(4 x+2 x^2) \log (5))) \log (x) \log (\genfrac {}{}{}{}{e^x \log (5) \log (x)}{2+e^x (-1+(2+x) \log (5))})+(2+e^x (-1+(2+x) \log (5))) \log (x) \log ^2(\genfrac {}{}{}{}{e^x \log (5) \log (x)}{2+e^x (-1+(2+x) \log (5))})} \, dx\) [675]
3.7.76
\(\int \genfrac {}{}{}{}{1}{128} (128+81 x-54 x^2+8 x^3) \, dx\) [676]
3.7.77
\(\int \genfrac {}{}{}{}{x+\log (3)}{x} \, dx\) [677]
3.7.78
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{20+x}{x}} (-40-2 x)}{x^3} \, dx\) [678]
3.7.79
\(\int \genfrac {}{}{}{}{-5+e^{e^3} (-2+2 x)}{1-5 x+e^{e^3} (1-2 x+x^2)} \, dx\) [679]
3.7.80
\(\int e^{-7+x^2-25^{\genfrac {}{}{}{}{4 x}{e^2}} (x^2)^{\genfrac {}{}{}{}{4 x}{e^2}}} (e^2 (1+2 x^2)+25^{\genfrac {}{}{}{}{4 x}{e^2}} (x^2)^{\genfrac {}{}{}{}{4 x}{e^2}} (-8 x-4 x \log (25 x^2))) \, dx\) [680]
3.7.81
\(\int \genfrac {}{}{}{}{480-180 x+5 x^2+e^{5+x} x^4}{e^5 x^4} \, dx\) [681]
3.7.82
\(\int \genfrac {}{}{}{}{-256+e^x (-8-64 x)+e^{2 x} (18+16 x)}{4913+6936 x+3264 x^2+512 x^3} \, dx\) [682]
3.7.83
\(\int \genfrac {}{}{}{}{-3240+8424 x-1296 x^2+(1620-324 x) \log (\genfrac {}{}{}{}{3}{625 x^2-500 x^3+150 x^4-20 x^5+x^6})}{-3125+625 x-4500 x^2+900 x^3-1620 x^4+324 x^5+(-2250 x+450 x^2-1620 x^3+324 x^4) \log (\genfrac {}{}{}{}{3}{625 x^2-500 x^3+150 x^4-20 x^5+x^6})+(-405 x^2+81 x^3) \log ^2(\genfrac {}{}{}{}{3}{625 x^2-500 x^3+150 x^4-20 x^5+x^6})} \, dx\) [683]
3.7.84
\(\int \genfrac {}{}{}{}{(-6-60 x+24 x^2+e^x (-12 x-12 x^2)) \log ^2(x)+((2+20 x-8 x^2+e^x (4 x+4 x^2)) \log (x)+((60 x+12 e^x x-12 x^2) \log (x)+6 \log ^2(x)) \log (10 x+2 e^x x-2 x^2+\log (x))) \log (\log (10 x+2 e^x x-2 x^2+\log (x)))+(-20 x-4 e^x x+4 x^2-2 \log (x)) \log (10 x+2 e^x x-2 x^2+\log (x)) \log ^2(\log (10 x+2 e^x x-2 x^2+\log (x)))}{((10 x^2+2 e^x x^2-2 x^3) \log ^3(x)+x \log ^4(x)) \log (10 x+2 e^x x-2 x^2+\log (x))} \, dx\) [684]
3.7.85
\(\int \genfrac {}{}{}{}{2496 x \log (1-2 x)+(240-480 x) \log ^2(1-2 x)+(-768 x \log (1-2 x)+(-192+384 x) \log ^2(1-2 x)) \log (x^2)}{-169 x^2+338 x^3+(104 x^2-208 x^3) \log (x^2)+(-16 x^2+32 x^3) \log ^2(x^2)} \, dx\) [685]
3.7.86
\(\int \genfrac {}{}{}{}{64+16 x+16 x \log (x)}{x} \, dx\) [686]
3.7.87
\(\int \genfrac {}{}{}{}{6-20 x+28 x^2+e^5 (-2+6 x-8 x^2)}{3 x-14 x^2+e^5 (-x+4 x^2)} \, dx\) [687]
3.7.88
\(\int e^{\genfrac {}{}{}{}{1}{3} (-20+3 x+e^x (-9+9 x))} (1+3 e^x x) \, dx\) [688]
3.7.89
\(\int (-6 x^2+x^{2 x} (16+16 \log (x))) \, dx\) [689]
3.7.90
\(\int \genfrac {}{}{}{}{384 x^2-192 x^3-1576 x^4+800 x^5-100 x^6+e^{\genfrac {}{}{}{}{1}{-4+x}} (-16 x^4+7 x^5-x^6)+e^2 (16 x^4-8 x^5+x^6)}{2048-1024 x-51072 x^2+25600 x^3+316800 x^4-160000 x^5+20000 x^6+e^2 (512 x^2-256 x^3-6368 x^4+3200 x^5-400 x^6)+e^4 (32 x^4-16 x^5+2 x^6)+e^{\genfrac {}{}{}{}{2}{-4+x}} (32 x^4-16 x^5+2 x^6)+e^{\genfrac {}{}{}{}{1}{-4+x}} (-512 x^2+256 x^3+6368 x^4-3200 x^5+400 x^6+e^2 (-64 x^4+32 x^5-4 x^6))} \, dx\) [690]
3.7.91
\(\int \genfrac {}{}{}{}{2-2 x-45 x \log (4)}{-2 x^2+(-12 x-45 x^2) \log (4)+2 x \log (x)} \, dx\) [691]
3.7.92
\(\int \genfrac {}{}{}{}{1}{3} (-13824-19956 x-5408 x^2+(2304+1664 x) \log (2)-96 \log ^2(2)) \, dx\) [692]
3.7.93
\(\int \genfrac {}{}{}{}{x^2+e^{\genfrac {}{}{}{}{5+x}{x}} (20+10 x) \log (3)+(-2 x-x^2) \log (3)}{(2 x^2+x^3) \log (3)} \, dx\) [693]
3.7.94
\(\int \genfrac {}{}{}{}{75 e^x-75 x+(e^x (30-75 x)+45 x) \log (x)+(-62 x+e^x (-13+75 x)) \log ^2(x)+(-23 x+23 e^x x) \log ^3(x)+(-x+e^x x) \log ^4(x)}{25 x \log ^2(x)+10 x \log ^3(x)+x \log ^4(x)} \, dx\) [694]
3.7.95
\(\int \genfrac {}{}{}{}{(2 x-5 x^2) \log (-2 x+5 x^2)+(-4+20 x) \log (\log (5))+(-4+20 x) \log (\log (-2 x+5 x^2))}{(-2 x+5 x^2) \log (-2 x+5 x^2)} \, dx\) [695]
3.7.96
\(\int \genfrac {}{}{}{}{(-e^5+x)^{\genfrac {}{}{}{}{20 x}{-x^2+\log ^4(7)}} (20 x^3-20 x \log ^4(7)+(20 e^5 x^2-20 x^3+(20 e^5-20 x) \log ^4(7)) \log (-e^5+x))}{e^5 x^4-x^5+(-2 e^5 x^2+2 x^3) \log ^4(7)+(e^5-x) \log ^8(7)} \, dx\) [696]
3.7.97
\(\int -\genfrac {}{}{}{}{100 e^{\genfrac {}{}{}{}{-20711+6912 x-864 x^2+48 x^3-x^4}{20736-6912 x+864 x^2-48 x^3+x^4}}}{-248832+103680 x-17280 x^2+1440 x^3-60 x^4+x^5} \, dx\) [697]
3.7.98
\(\int \genfrac {}{}{}{}{5+50 e^{x^2} x^2+e^{e^{3+x}} (-5 e^{3+x} x^2+50 e^{x^2} x^3)+(-20 e^{x^2} x^2-20 e^{e^{3+x}+x^2} x^3) \log (\genfrac {}{}{}{}{1+e^{e^{3+x}} x}{x})+(2 e^{x^2} x^2+2 e^{e^{3+x}+x^2} x^3) \log ^2(\genfrac {}{}{}{}{1+e^{e^{3+x}} x}{x})}{25 x+25 e^{e^{3+x}} x^2+(-10 x-10 e^{e^{3+x}} x^2) \log (\genfrac {}{}{}{}{1+e^{e^{3+x}} x}{x})+(x+e^{e^{3+x}} x^2) \log ^2(\genfrac {}{}{}{}{1+e^{e^{3+x}} x}{x})} \, dx\) [698]
3.7.99
\(\int \genfrac {}{}{}{}{x-4 x^2+e^{\genfrac {}{}{}{}{-2+11 x-x^2}{x}} (2+x-x^2)}{x} \, dx\) [699]
3.7.100
\(\int \genfrac {}{}{}{}{-e^{1+x} x^2+2 e^{10+e^2+e^{8-x^2}-x^2} x^3+(2 e^{2+e^2+e^{8-x^2}} x+2 e^{1+x} x) \log (e^{2+e^2+e^{8-x^2}}+e^{1+x})}{(e^{2+e^2+e^{8-x^2}}+e^{1+x}) \log ^2(e^{2+e^2+e^{8-x^2}}+e^{1+x})} \, dx\) [700]
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