[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.8
Integrals 701 to 800
3.8.1
\(\int e^{2 x} (243 x^2+594 x^3+396 x^4+72 x^5) \, dx\) [701]
3.8.2
\(\int \genfrac {}{}{}{}{30-20 e^4+e^{2 x} (10-40 e^4)+10 x+e^{3 x} (10-40 e^4-x^3)+e^x (30-20 e^4+10 x-3 x^3-x^4)+(6 e^{4+3 x} x^2+e^{4+x} (18 x^2+6 x^3)) \log (3+e^{2 x}+x)+(-12 e^{8+3 x} x+e^{8+x} (-36 x-12 x^2)) \log ^2(3+e^{2 x}+x)+(8 e^{12+3 x}+e^{12+x} (24+8 x)) \log ^3(3+e^{2 x}+x)}{-3 x^3-e^{2 x} x^3-e^{3 x} x^3-x^4+e^x (-3 x^3-x^4)+(6 e^{4+2 x} x^2+6 e^{4+3 x} x^2+e^4 (18 x^2+6 x^3)+e^{4+x} (18 x^2+6 x^3)) \log (3+e^{2 x}+x)+(-12 e^{8+2 x} x-12 e^{8+3 x} x+e^8 (-36 x-12 x^2)+e^{8+x} (-36 x-12 x^2)) \log ^2(3+e^{2 x}+x)+(8 e^{12+2 x}+8 e^{12+3 x}+e^{12} (24+8 x)+e^{12+x} (24+8 x)) \log ^3(3+e^{2 x}+x)} \, dx\) [702]
3.8.3
\(\int \genfrac {}{}{}{}{-2+\log (x^2)+16 x \log ^2(x^2)}{2 \log ^2(x^2)} \, dx\) [703]
3.8.4
\(\int \genfrac {}{}{}{}{-1+2 x+e^{-5+e^{-5+3 x}+3 x} (-3 x+3 x^2)}{-x+x^2} \, dx\) [704]
3.8.5
\(\int (-60+50 x-25 \log (x)) \, dx\) [705]
3.8.6
\(\int \genfrac {}{}{}{}{1+2 x+x^2+x^{\genfrac {}{}{}{}{-x-2 x^2}{1+x}} (-1-x+2 x^2+2 x^3+(x+4 x^2+2 x^3) \log (x))}{1+2 x+x^2} \, dx\) [706]
3.8.7
\(\int \genfrac {}{}{}{}{40-180 x^2+360 x^2 \log (x)}{(-2 x+9 x^3) \log (4) \log (x)} \, dx\) [707]
3.8.8
\(\int -\genfrac {}{}{}{}{9 e^5}{3 e^5 x+2 x^2} \, dx\) [708]
3.8.9
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 x}{-60+5 e^x+5 x+5 x^2+5 \log (x)}} (-26+e^x (2-2 x)-2 x^2+2 \log (x))}{720+5 e^{2 x}-120 x-115 x^2+10 x^3+5 x^4+e^x (-120+10 x+10 x^2)+(-120+10 e^x+10 x+10 x^2) \log (x)+5 \log ^2(x)} \, dx\) [709]
3.8.10
\(\int \genfrac {}{}{}{}{32 x+16 x^2+2 x^3+e^{\genfrac {}{}{}{}{5}{-2+\log (5)}} (72 x-7 x^2-2 x^3)+(-144-40 x+7 x^2+2 x^3) \log (-9+2 x)+(e^{\genfrac {}{}{}{}{5}{-2+\log (5)}} (36 x+x^2-2 x^3)+(-144-40 x+7 x^2+2 x^3) \log (-9+2 x)) \log (\genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{5}{-2+\log (5)}} x^2+(-4 x-x^2) \log (-9+2 x)}{4+x})}{e^{\genfrac {}{}{}{}{5}{-2+\log (5)}} (36 x+x^2-2 x^3)+(-144-40 x+7 x^2+2 x^3) \log (-9+2 x)} \, dx\) [710]
3.8.11
\(\int \genfrac {}{}{}{}{3+2 x+x^2+e (2 x+2 x^2)+(2 x+2 x^2) \log (x)}{e (3 x+2 x^2+x^3)+(3 x+2 x^2+x^3) \log (x)} \, dx\) [711]
3.8.12
\(\int \genfrac {}{}{}{}{200 x^4+e^{5 x} (-200 x^4-1250 x^5)+(-750 x^4+750 e^{5 x} x^4) \log (-1+e^{5 x})+(-1250 x^4+1250 e^{5 x} x^4) \log ^2(-1+e^{5 x})}{-1+e^{5 x}+(10-10 e^{5 x}) \log (-1+e^{5 x})+(-25+25 e^{5 x}) \log ^2(-1+e^{5 x})} \, dx\) [712]
3.8.13
\(\int \genfrac {}{}{}{}{-2 e^3-5 x^3}{20 x^3-5 x^4+e^3 (x+10 x^3)} \, dx\) [713]
3.8.14
\(\int \genfrac {}{}{}{}{-3-12 x-10 x^2+e^x (-1-x-5 x^2)+(-x-e^x x) \log (x)}{x} \, dx\) [714]
3.8.15
\(\int \genfrac {}{}{}{}{-3 e^x x+e^{2 x} x^2+(12+4 e^x x^2) \log (\genfrac {}{}{}{}{9-6 e^x x+e^{2 x} x^2}{e^{8/5} x^2})+(3 x-e^x x^2) \log ^2(\genfrac {}{}{}{}{9-6 e^x x+e^{2 x} x^2}{e^{8/5} x^2})}{-3 e^x x+e^{2 x} x^2} \, dx\) [715]
3.8.16
\(\int \genfrac {}{}{}{}{2 x+(-6+3 x) \log (\genfrac {}{}{}{}{e (2-x)}{x})}{(-2 x^2+x^3) \log (\genfrac {}{}{}{}{e (2-x)}{x})} \, dx\) [716]
3.8.17
\(\int e^{-9+4 e^{e^{-9-x} x}-x} (e^{9+x} (4-4 e^x)+e^{e^{-9-x} x} (16 x-16 x^2+e^x (-16+16 x))) \, dx\) [717]
3.8.18
\(\int \genfrac {}{}{}{}{2 x-3 x^2-5 x^3-2 x^4+(-3-5 x-2 x^2) \log (3+2 x)}{6 x^2+7 x^3+2 x^4+(3 x+2 x^2) \log (3+2 x)} \, dx\) [718]
3.8.19
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{4 (15 x^2+15 x \log (5))}{8+12 x}} (-60 x-45 x^2-30 \log (5))}{4+12 x+9 x^2} \, dx\) [719]
3.8.20
\(\int \genfrac {}{}{}{}{4 e^6 x+2 x^3-4 x^5+2 x^7+e^2 (1-3 x^2)+e^4 (-2 x^2-6 x^6)}{x^2-2 x^4+4 e^8 x^4+x^6+e^4 (4 x^3-4 x^5)} \, dx\) [720]
3.8.21
\(\int \genfrac {}{}{}{}{e^{x^3+e^x (-5 x^2-x^3)+e^x x^3 \log (64+32 x+4 x^2)} (12 x^2+3 x^3+e^x (-40 x-42 x^2-10 x^3-x^4)+e^x (12 x^2+7 x^3+x^4) \log (64+32 x+4 x^2))}{4+x} \, dx\) [721]
3.8.22
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{50 e^{3-x}}{x}} (e^{3-x} (7200+7200 x)+e^{\genfrac {}{}{}{}{50 e^{3-x}}{x}} (18 x^2+18 x^3)+e^{\genfrac {}{}{}{}{25 e^{3-x}}{x}} (-72 x^2+e^{3-x} (-1800-3600 x-1800 x^2)))}{x^2} \, dx\) [722]
3.8.23
\(\int \genfrac {}{}{}{}{e^{4+4 e^{-6+x} x+e^{-12+2 x} x^2} (-1+e^{-6+x} (16 x+16 x^2)+e^{-12+2 x} (8 x^2+8 x^3)+(e^{-6+x} (-4 x-4 x^2)+e^{-12+2 x} (-2 x^2-2 x^3)) \log (x))}{x} \, dx\) [723]
3.8.24
\(\int \genfrac {}{}{}{}{2 (i \pi +\log (\genfrac {}{}{}{}{18}{5}))+2 (i \pi +\log (\genfrac {}{}{}{}{18}{5})) \log (x)}{4-4 x+x^2+(4-2 x) \log (x)+\log ^2(x)} \, dx\) [724]
3.8.25
\(\int \genfrac {}{}{}{}{2 e^x+e^{5 e^{-x} x} (5 x-5 x^2+2 e^x x^2)+2 e^x x^2 \log (x^2)}{e^{x+5 e^{-x} x} x+e^x x \log (x^2)} \, dx\) [725]
3.8.26
\(\int \genfrac {}{}{}{}{29 x-3 x^2+8 x^3+(3-55 x+17 x^2+18 x^3) \log (-3+x+x^2)}{-15+5 x+5 x^2} \, dx\) [726]
3.8.27
\(\int \genfrac {}{}{}{}{-5+(-4-8 x-4 x^2) \log (2)}{1+2 x+x^2} \, dx\) [727]
3.8.28
\(\int \genfrac {}{}{}{}{e^x (-8 x-44 x^2-48 x^3-220 x^4-640 x^5+384 x^6-2048 x^7+1024 x^8+e^{\genfrac {}{}{}{}{2 x^2}{1+3 x+16 x^3}} (-16-80 x-112 x^2-464 x^3-1024 x^4+2048 x^5-4096 x^6+4096 x^7))}{x^4+6 x^5+9 x^6+32 x^7+96 x^8+256 x^{10}+e^{\genfrac {}{}{}{}{4 x^2}{1+3 x+16 x^3}} (16 x^2+96 x^3+144 x^4+512 x^5+1536 x^6+4096 x^8)+e^{\genfrac {}{}{}{}{2 x^2}{1+3 x+16 x^3}} (8 x^3+48 x^4+72 x^5+256 x^6+768 x^7+2048 x^9)} \, dx\) [728]
3.8.29
\(\int \genfrac {}{}{}{}{-1+x-x^2+e^x (1+x^2-x^3)+(x^2-e^x x^2-x^3) \log (2-2 e^x-2 x)+(1-e^x-x) \log (x)+(-x^2+e^x x^2+x^3) \log (e x)}{-x^2+e^x x^2+x^3} \, dx\) [729]
3.8.30
\(\int \genfrac {}{}{}{}{-512+2560 x-3712 x^2+768 x^3+1152 x^4-256 x^5-128 x^6+(-512+1536 x-1280 x^2+1472 x^3-1536 x^4-192 x^5+384 x^6+64 x^7) \log (x)+(256 x-1856 x^3+768 x^4+1728 x^5-512 x^6-320 x^7) \log ^2(x)+(-320 x^3+928 x^4-288 x^5-576 x^6+160 x^7+96 x^8) \log ^3(x)}{25 x^3 \log ^3(x)} \, dx\) [730]
3.8.31
\(\int \genfrac {}{}{}{}{3+x-2 x \log (x)}{135 x+135 x^2+45 x^3+5 x^4} \, dx\) [731]
3.8.32
\(\int \genfrac {}{}{}{}{x^3+(x+8 x^2-2 x^3) \log (3)+(-4+15 x-8 x^2+x^3) \log ^2(3)+(x \log (3)-x \log ^2(3)) \log (x)}{x^3+(8 x^2-2 x^3) \log (3)+(16 x-8 x^2+x^3) \log ^2(3)} \, dx\) [732]
3.8.33
\(\int \genfrac {}{}{}{}{75}{-124+75 x} \, dx\) [733]
3.8.34
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1-\genfrac {}{}{}{}{x (2+x^4)^{220}}{e^{1100}}}{x^2}} (-4-2 x^4+\genfrac {}{}{}{}{(2+x^4)^{220} (2 x-879 x^5)}{e^{1100}})}{2 x^3+x^7} \, dx\) [734]
3.8.35
\(\int \genfrac {}{}{}{}{243-81 x}{-4 x-81 x^2+81 x \log (2 e^{-e^{10}} x^3)} \, dx\) [735]
3.8.36
\(\int \genfrac {}{}{}{}{1055 x^2+2 x^3+e^{2 x} (1055+2 x)+e^x (-2110 x-4 x^2)+e^{-\genfrac {}{}{}{}{1}{e^x-x}} (-24+8 e^{2 x}+e^x (24-8 x)-8 x+8 x^2)}{4 e^{2 x}-8 e^x x+4 x^2} \, dx\) [736]
3.8.37
\(\int \genfrac {}{}{}{}{e^{4-100 e^{4-2 x}-x} (e^{-4+2 x} (-1+x)+200 x)}{x^2} \, dx\) [737]
3.8.38
\(\int \genfrac {}{}{}{}{-32-32 e^5-32 x+e^x (e^{10} (-160+40 e)-160 x-160 x^2+e (40 x+40 x^2)+e^5 (-160-320 x+e (40+80 x)))}{16 e^5+16 x+e^x ((160-40 e) e^{10}+160 x^2-40 e x^2+e^5 (320 x-80 e x))+e^{2 x} (e^{15} (450-200 e+25 e^2)+450 x^3-200 e x^3+25 e^2 x^3+e^{10} (1350 x-600 e x+75 e^2 x)+e^5 (1350 x^2-600 e x^2+75 e^2 x^2))} \, dx\) [738]
3.8.39
\(\int \genfrac {}{}{}{}{1}{\log (\log (3))} \, dx\) [739]
3.8.40
\(\int \genfrac {}{}{}{}{-1125+(-675+2700 x) \log (3)+(-140+1080 x-2160 x^2) \log ^2(3)+(-10+104 x-432 x^2+576 x^3) \log ^3(3)+(675+(270-1080 x) \log (3)+(28-216 x+432 x^2) \log ^2(3)) \log (4)+(-135+(-27+108 x) \log (3)) \log ^2(4)+9 \log ^3(4)}{-1125+(-675+2700 x) \log (3)+(-135+1080 x-2160 x^2) \log ^2(3)+(-9+108 x-432 x^2+576 x^3) \log ^3(3)+(675+(270-1080 x) \log (3)+(27-216 x+432 x^2) \log ^2(3)) \log (4)+(-135+(-27+108 x) \log (3)) \log ^2(4)+9 \log ^3(4)} \, dx\) [740]
3.8.41
\(\int \genfrac {}{}{}{}{-e-x^2+e^{3 x+e^{3 x} x} (-5 x^2-15 x^3)+(-e-x^2) \log (4)}{x^2+x^2 \log (4)} \, dx\) [741]
3.8.42
\(\int e^{-x+e^{-x} (-5 x+e^x (1+x^3))+\genfrac {}{}{}{}{3-e^{e^{-x} (-5 x+e^x (1+x^3))} \log (3)}{\log (3)}} (5-5 x-3 e^x x^2) \, dx\) [742]
3.8.43
\(\int \genfrac {}{}{}{}{1-x+\log (\log (x))}{x} \, dx\) [743]
3.8.44
\(\int -\genfrac {}{}{}{}{12}{324+e^2-36 x+x^2+e (-36+2 x)} \, dx\) [744]
3.8.45
\(\int \genfrac {}{}{}{}{50000+247000 x+57500 x^2-162500 x^3+375000 x^4+(30000+148200 x+34500 x^2-97500 x^3+225000 x^4) \log (\genfrac {}{}{}{}{25 x+(-3+30 x-75 x^2) \log (e^3 (4+x^2))}{3-30 x+75 x^2})+(6000+29640 x+6900 x^2-19500 x^3+45000 x^4) \log ^2(\genfrac {}{}{}{}{25 x+(-3+30 x-75 x^2) \log (e^3 (4+x^2))}{3-30 x+75 x^2})+(400+1976 x+460 x^2-1300 x^3+3000 x^4) \log ^3(\genfrac {}{}{}{}{25 x+(-3+30 x-75 x^2) \log (e^3 (4+x^2))}{3-30 x+75 x^2})}{100 x-500 x^2+25 x^3-125 x^4+(-12+180 x-903 x^2+1545 x^3-225 x^4+375 x^5) \log (e^3 (4+x^2))} \, dx\) [745]
3.8.46
\(\int \genfrac {}{}{}{}{-5 x^5+e^{2 x} (-16+8 x-20 x^2+20 x^3)}{5 x^5} \, dx\) [746]
3.8.47
\(\int \genfrac {}{}{}{}{1}{625} (e^{2+4 x} (800 x+2200 x^2+900 x^3+100 x^4)+e^{2+2 x} (-2400 x^2-3200 x^3-1050 x^4-100 x^5+e (-320 x-560 x^2-200 x^3-20 x^4))+e^2 (1600 x^3+1000 x^4+150 x^5+e^2 (32 x+24 x^2+4 x^3)+e (480 x^2+320 x^3+50 x^4))) \, dx\) [747]
3.8.48
\(\int (-470+50 x+10 \log (16)) \, dx\) [748]
3.8.49
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{6 x^2-x^4-\log (3)}{x^2}} (2 x^4-2 \log (3))}{x^3 \log (3)} \, dx\) [749]
3.8.50
\(\int \genfrac {}{}{}{}{e^{-9-x+e^{-9-x} x-\genfrac {}{}{}{}{3 e^{e^{-9-x} x} x^2}{-1+x}} (3 x^2-6 x^3+3 x^4+e^{9+x} (6 x-3 x^2))}{5-10 x+5 x^2} \, dx\) [750]
3.8.51
\(\int (2+\log (\genfrac {}{}{}{}{(20 x^2+3 e x^2) \log (\log (5))}{e})) \, dx\) [751]
3.8.52
\(\int \genfrac {}{}{}{}{-2+e^{e^x+x}+40 e^{20 x^2} x}{-5+e^5+e^{e^x}+e^{20 x^2}-2 x} \, dx\) [752]
3.8.53
\(\int \genfrac {}{}{}{}{1512 x+3411 x^2+81 x^3-1503 x^4+315 x^5+e^{12} (-27+7 x)+e^6 (-504-552 x+666 x^2-126 x^3)+(e^{12} (4-x)-216 x-486 x^2-9 x^3+216 x^4-45 x^5+e^6 (72+78 x-96 x^2+18 x^3)) \log (-4+x)+(504 x+1386 x^2+630 x^3-252 x^4+e^6 (-168-294 x+84 x^2)+(-72 x-198 x^2-90 x^3+36 x^4+e^6 (24+42 x-12 x^2)) \log (-4+x)) \log (-7+\log (-4+x))}{252-63 x+(-36+9 x) \log (-4+x)} \, dx\) [753]
3.8.54
\(\int \genfrac {}{}{}{}{e^{-2 e} (-10-12 x-6 x^2-x^3)}{8+12 x+6 x^2+x^3} \, dx\) [754]
3.8.55
\(\int \genfrac {}{}{}{}{e^{2 x} (200+100 x-50 x^2)+e^x (-4+18 x-6 x^2)+(e^{2 x} (-200 x+50 x^2)+e^x (4 x-9 x^2+2 x^3)) \log (-4 x+9 x^2-2 x^3+e^x (200 x-50 x^2))}{(4 x-9 x^2+2 x^3+e^x (-200 x+50 x^2)) \log ^2(-4 x+9 x^2-2 x^3+e^x (200 x-50 x^2))} \, dx\) [755]
3.8.56
\(\int \genfrac {}{}{}{}{e^{4+x} (-x^2-x^3)+(-8+8 x-4 e^4 x) \log ^3(x)+2 \log ^4(x)}{x^2} \, dx\) [756]
3.8.57
\(\int \genfrac {}{}{}{}{(4-8 x) \log ^2(\genfrac {}{}{}{}{x^2}{4})+e^{\genfrac {}{}{}{}{x-x \log (\genfrac {}{}{}{}{x^2}{4})}{\log (\genfrac {}{}{}{}{x^2}{4})}} (-2 x+2 x^2+(x-x^2) \log (\genfrac {}{}{}{}{x^2}{4})+(-1+x+x^2) \log ^2(\genfrac {}{}{}{}{x^2}{4}))}{(9 x^2-18 x^3+9 x^4) \log ^2(\genfrac {}{}{}{}{x^2}{4})} \, dx\) [757]
3.8.58
\(\int \genfrac {}{}{}{}{-15+10 x+e^{2 x^4} (-5-40 x^4)+\log (9)}{\log (9)} \, dx\) [758]
3.8.59
\(\int \genfrac {}{}{}{}{e^3 (-100 x^3+24 x^4)-2 e^3 x^4 \log (4)+2 e^3 x^4 \log (4) \log (x)}{-15625+22500 x-10800 x^2+1728 x^3+(1875 x-1800 x^2+432 x^3) \log (4) \log (x)+(-75 x^2+36 x^3) \log ^2(4) \log ^2(x)+x^3 \log ^3(4) \log ^3(x)} \, dx\) [759]
3.8.60
\(\int \genfrac {}{}{}{}{96+e^4 (-8-2 x)+24 x+(96-8 e^4) \log (x)-10 \log ^2(x)}{(-96 x-24 x^2+e^4 (8 x+2 x^2)) \log (x)+(10 x+3 x^2) \log ^2(x)} \, dx\) [760]
3.8.61
\(\int \genfrac {}{}{}{}{4 x-x^2+(1-x) \log (1-x)}{-x+x^2+(-1+x) \log (1-x)} \, dx\) [761]
3.8.62
\(\int \genfrac {}{}{}{}{6 x^2+6 e^x x^2+(-2 x^2+e^x (-2 x^2+x^3)) \log (x^2)+(16-3 x+e^x (16+x-3 x^2)) \log ^2(x^2)+(-2 x^2-2 e^x x^2+(x^2+e^x x^2) \log (x^2)+(-4-4 e^x) \log ^2(x^2)) \log (x+e^x x)}{9 x^4+9 e^x x^4+(72 x^2-54 x^3+e^x (72 x^2-54 x^3)) \log (x^2)+(144-216 x+81 x^2+e^x (144-216 x+81 x^2)) \log ^2(x^2)+(-6 x^4-6 e^x x^4+(-48 x^2+36 x^3+e^x (-48 x^2+36 x^3)) \log (x^2)+(-96+144 x-54 x^2+e^x (-96+144 x-54 x^2)) \log ^2(x^2)) \log (x+e^x x)+(x^4+e^x x^4+(8 x^2-6 x^3+e^x (8 x^2-6 x^3)) \log (x^2)+(16-24 x+9 x^2+e^x (16-24 x+9 x^2)) \log ^2(x^2)) \log ^2(x+e^x x)} \, dx\) [762]
3.8.63
\(\int \genfrac {}{}{}{}{48+e^{8 x} (3-x)+80 x+40 x^2-5 x^4-x^5+e^{6 x} (24+4 x-4 x^2)+e^{4 x} (72+48 x-6 x^2-6 x^3)+e^{2 x} (96+112 x+24 x^2-12 x^3-4 x^4)+(-112 x-144 x^2-48 x^3+4 x^4+3 x^5+e^{8 x} (-25 x+8 x^2)+e^{6 x} (-164 x-24 x^2+24 x^3)+e^{4 x} (-384 x-228 x^2+30 x^3+24 x^4)+e^{2 x} (-368 x-368 x^2-60 x^3+32 x^4+8 x^5)) \log (x)+(54 x-36 x^2+6 x^3) \log ^2(x)}{(27 x-18 x^2+3 x^3) \log ^2(x)} \, dx\) [763]
3.8.64
\(\int \genfrac {}{}{}{}{900+90 x+902 x^2-60 x^3-45 x^4+90 x^5-18 x^6}{45 x^5} \, dx\) [764]
3.8.65
\(\int \genfrac {}{}{}{}{-2 x^2+(-2-8 x^2-10 x^4-4 x^6) \log (\genfrac {}{}{}{}{e^{-x^2}}{x})+(4 x^2+4 x^4) \log ^2(\genfrac {}{}{}{}{e^{-x^2}}{x})}{x} \, dx\) [765]
3.8.66
\(\int \genfrac {}{}{}{}{-45 e^4+e^x (-9-9 x)+45 \log (3)-9 \log (5)}{4+20 e^4 x+25 e^8 x^2+e^{2 x} x^2+(-20 x-50 e^4 x^2) \log (3)+25 x^2 \log ^2(3)+(4 x+10 e^4 x^2-10 x^2 \log (3)) \log (5)+x^2 \log ^2(5)+e^x (4 x+10 e^4 x^2-10 x^2 \log (3)+2 x^2 \log (5))} \, dx\) [766]
3.8.67
\(\int \genfrac {}{}{}{}{e^{-x} (4 e^x (-2-56 x)+3 x+3 x^2)}{8 x^3} \, dx\) [767]
3.8.68
\(\int \genfrac {}{}{}{}{5-640 x+500 x^2+105 x \log (x)}{x-50 x^2+625 x^3} \, dx\) [768]
3.8.69
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-2 e^{2 x}-8 x+e^x (8+2 x)+(4 x^2+3 x^3+e^x (-4 x-x^2)) \log (x)}{2 e^x-2 x}} (-2 e^{3 x}-4 x^2-3 x^3+e^{2 x} (-4+3 x)+e^x (8 x+2 x^2)+(e^{2 x} (-4-2 x)-4 x^2-6 x^3+e^x (8 x+10 x^2-2 x^3)) \log (x))}{2 e^{2 x}-4 e^x x+2 x^2} \, dx\) [769]
3.8.70
\(\int \genfrac {}{}{}{}{-320 x+112 x^2-112 x^4+80 x^5-84 x^6+e^{x/4} (-480+264 x-188 x^2+40 x^3+12 x^4-46 x^5-7 x^6)}{8 x^4} \, dx\) [770]
3.8.71
\(\int \genfrac {}{}{}{}{-20 x-10 \log (x)-10 \log (2 x)}{12 x^3+12 x^2 \log (x) \log (2 x)+3 x \log ^2(x) \log ^2(2 x)} \, dx\) [771]
3.8.72
\(\int \genfrac {}{}{}{}{36 x+348 x^2+841 x^3+e^x (-92 x+116 x^2)+(36 x+348 x^2+841 x^3+e^x (24+116 x)) \log (\genfrac {}{}{}{}{4 e^x+6 x+29 x^2}{6+29 x})}{36 x+348 x^2+841 x^3+e^x (24+116 x)} \, dx\) [772]
3.8.73
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (-1-(-10 x^2+2 x^3) \log (\log (\log (x))))} (5 x-x^2+(10 x-3 x^2) \log (x) \log (\log (x)) \log (\log (\log (x))))}{20 \log (x) \log (\log (x))} \, dx\) [773]
3.8.74
\(\int (-3+30 x-12 x^2+e^{3 x} (1+3 x)) \, dx\) [774]
3.8.75
\(\int \genfrac {}{}{}{}{16-32 x^2-44 x^4-12 x^6+e^{\genfrac {}{}{}{}{9 x}{2+x^2}} (-18+9 x^2)+(32+32 x^2+8 x^4) \log (x)}{4+4 x^2+x^4} \, dx\) [775]
3.8.76
\(\int \genfrac {}{}{}{}{-3-2 x+2 x \log (x)+\log ^2(x)}{9 x+12 x^2+4 x^3+(6 x+4 x^2) \log ^2(x)+x \log ^4(x)} \, dx\) [776]
3.8.77
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x+(9-x) \log (\genfrac {}{}{}{}{1}{4} (x+x \log (2)))}{\log (\genfrac {}{}{}{}{1}{4} (x+x \log (2)))}} (-1+\log (\genfrac {}{}{}{}{1}{4} (x+x \log (2)))-\log ^2(\genfrac {}{}{}{}{1}{4} (x+x \log (2))))}{\log ^2(\genfrac {}{}{}{}{1}{4} (x+x \log (2)))} \, dx\) [777]
3.8.78
\(\int \genfrac {}{}{}{}{1}{5} e^{-x} (4+e^x (30-10 x)-4 x+e^{e^{e^{-x} (4+x)}} (5 e^x+e^{e^{-x} (4+x)} (-15 x-5 x^2))) \, dx\) [778]
3.8.79
\(\int \genfrac {}{}{}{}{e^{-2 e^3} (-e^{2 e^3} x \log (4)+e^{2 e^3} (2+x) \log (4) \log (2+x)+(8 x+4 x^2+e^{2 e^3} (-4-2 x+(-2-x) \log (4))) \log ^2(2+x))}{(2+x) \log (4) \log ^2(2+x)} \, dx\) [779]
3.8.80
\(\int \genfrac {}{}{}{}{e^{2-e^{10}+e^{\genfrac {}{}{}{}{2 x}{-6+2 e^{x^2}}}+x} (9-6 e^{x^2}+e^{2 x^2}+e^{\genfrac {}{}{}{}{2 x}{-6+2 e^{x^2}}} (-3+e^{x^2} (1-2 x^2)))}{9-6 e^{x^2}+e^{2 x^2}} \, dx\) [780]
3.8.81
\(\int \genfrac {}{}{}{}{16 e^{4+2 e^{4+2 x}+2 x}}{-4+e^{2 e^{4+2 x}}} \, dx\) [781]
3.8.82
\(\int \genfrac {}{}{}{}{-192+64 x-96 x^3+32 x^4+e^x (-128 x+64 x^2+32 x^4-16 x^5)+e^{x^2} (-30 x^3+10 x^4+e^x (10 x^2-5 x^3))+(-64 x+5 e^{x^2} x^2+16 x^4) \log (\genfrac {}{}{}{}{64-5 e^{x^2} x-16 x^3}{16 x})}{-64 x+5 e^{x^2} x^2+16 x^4} \, dx\) [782]
3.8.83
\(\int \genfrac {}{}{}{}{(27 x-27 x^3+9 x^5-x^7) \log ^5(2)+(135 x^2-135 x^4+45 x^6-5 x^8) \log ^4(2) \log (x)+(270 x^3-270 x^5+90 x^7-10 x^9) \log ^3(2) \log ^2(x)+((-108+36 x^2) \log (2)+(270 x^4-270 x^6+90 x^8-10 x^{10}) \log ^2(2)) \log ^3(x)+(-36 x^2+135 x^5-135 x^7+45 x^9-5 x^{11}) \log (2) \log ^4(x)+(108 x-72 x^3+27 x^6-27 x^8+9 x^{10}-x^{12}) \log ^5(x)}{(-27 x+27 x^3-9 x^5+x^7) \log ^5(2)+(-135 x^2+135 x^4-45 x^6+5 x^8) \log ^4(2) \log (x)+(-270 x^3+270 x^5-90 x^7+10 x^9) \log ^3(2) \log ^2(x)+(-270 x^4+270 x^6-90 x^8+10 x^{10}) \log ^2(2) \log ^3(x)+(-135 x^5+135 x^7-45 x^9+5 x^{11}) \log (2) \log ^4(x)+(-27 x^6+27 x^8-9 x^{10}+x^{12}) \log ^5(x)} \, dx\) [783]
3.8.84
\(\int (-3+2 x+5 x^4+e^{-3 x-x^2} (1-3 x-2 x^2)) \, dx\) [784]
3.8.85
\(\int \genfrac {}{}{}{}{2+6 x+9 x^2+e^x (1+6 x+9 x^2)}{1+6 x+9 x^2} \, dx\) [785]
3.8.86
\(\int \genfrac {}{}{}{}{64-16 x^2+e^x (-256-512 x+64 x^2-128 x^3)}{-x^2+12 e^x x^2-48 e^{2 x} x^2+64 e^{3 x} x^2} \, dx\) [786]
3.8.87
\(\int \genfrac {}{}{}{}{1}{2} e^{\genfrac {}{}{}{}{1}{6} (4-9 x)} (10 e^{5 x+\genfrac {}{}{}{}{1}{6} (-4+9 x)}+e^{e^{\genfrac {}{}{}{}{1}{6} (4-9 x)} x} (2-3 x)) \, dx\) [787]
3.8.88
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-6+5 e^{10} x-5 x \log (25 x)}{-10+5 x}} (16-10 e^{10}-5 x+10 \log (25 x))}{20-20 x+5 x^2} \, dx\) [788]
3.8.89
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{256 x^2+6561 \log (x)+279936 \log ^3(x)+5225472 \log ^5(x)+55738368 \log ^7(x)+371589120 \log ^9(x)+1585446912 \log ^{11}(x)+4227858432 \log ^{13}(x)+6442450944 \log ^{15}(x)+4294967296 \log ^{17}(x)}{6561+279936 \log ^2(x)+5225472 \log ^4(x)+55738368 \log ^6(x)+371589120 \log ^8(x)+1585446912 \log ^{10}(x)+4227858432 \log ^{12}(x)+6442450944 \log ^{14}(x)+4294967296 \log ^{16}(x)}} (e^x (-39366+19683 x-1536 x^2)+65536 e^x x^2 \log (x)+e^x (-1889568+944784 x-8192 x^2) \log ^2(x)+e^x (-40310784+20155392 x) \log ^4(x)+e^x (-501645312+250822656 x) \log ^6(x)+e^x (-4013162496+2006581248 x) \log ^8(x)+e^x (-21403533312+10701766656 x) \log ^{10}(x)+e^x (-76101451776+38050725888 x) \log ^{12}(x)+e^x (-173946175488+86973087744 x) \log ^{14}(x)+e^x (-231928233984+115964116992 x) \log ^{16}(x)+e^x (-137438953472+68719476736 x) \log ^{18}(x))}{19683 x^2+944784 x^2 \log ^2(x)+20155392 x^2 \log ^4(x)+250822656 x^2 \log ^6(x)+2006581248 x^2 \log ^8(x)+10701766656 x^2 \log ^{10}(x)+38050725888 x^2 \log ^{12}(x)+86973087744 x^2 \log ^{14}(x)+115964116992 x^2 \log ^{16}(x)+68719476736 x^2 \log ^{18}(x)} \, dx\) [789]
3.8.90
\(\int \genfrac {}{}{}{}{-8 e^{2 x}-8 x^2-32 x^3+x^4+e^x (16 x+44 x^2-13 x^3)+(3 x^4+e^x (-4 x^3+x^4)) \log (x)+(-8 x^3+e^x (12 x^2-4 x^3)) \log (x^2)}{2 e^{2 x}-4 e^x x+2 x^2} \, dx\) [790]
3.8.91
\(\int \genfrac {}{}{}{}{64-16 e^9+32 x}{\log (\log (4))} \, dx\) [791]
3.8.92
\(\int \genfrac {}{}{}{}{1+(8+2 x-16 x^3-4 x^4) \log ^2(4+x)}{(4+x) \log ^2(4+x)} \, dx\) [792]
3.8.93
\(\int \genfrac {}{}{}{}{6 e^x+(-12 e^x-3 e^x \log (x^2)) \log (4+\log (x^2))+(e^x (-24 x+12 x^2)+e^x (-6 x+3 x^2) \log (x^2)+(e^x (-24+12 x)+e^x (-6+3 x) \log (x^2)) \log (4+\log (x^2))) \log (\genfrac {}{}{}{}{x}{x+\log (4+\log (x^2))})}{(4 x^4+x^4 \log (x^2)+(4 x^3+x^3 \log (x^2)) \log (4+\log (x^2))) \log ^2(\genfrac {}{}{}{}{x}{x+\log (4+\log (x^2))})} \, dx\) [793]
3.8.94
\(\int \genfrac {}{}{}{}{-4-2 x+2 x^3+(-2-2 x^2) \log (5)+e^x (-4+2 x+2 x^2+(-2-2 x) \log (5))}{-x-x^2+(1+x) \log (5)+e^x (-x+\log (5))} \, dx\) [794]
3.8.95
\(\int \genfrac {}{}{}{}{4-9 x+8 x^2-x^3-e^6 x \log (3)+x \log (x)}{16 x+8 x^2-7 x^3-2 x^4+x^5+e^6 (8 x+2 x^2-2 x^3) \log (3)+e^{12} x \log ^2(3)+(-8 x-2 x^2+2 x^3-2 e^6 x \log (3)) \log (x)+x \log ^2(x)} \, dx\) [795]
3.8.96
\(\int \genfrac {}{}{}{}{-4+4 x+60 x^2-448 x^3+(-12 x-64 x^2) \log (x)+(32+136 x-336 x^2+(-8-48 x) \log (x)) \log (4-7 x-\log (x))}{-4 x^5-25 x^6-8 x^7+112 x^8+(x^5+8 x^6+16 x^7) \log (x)+(-8 x^4-50 x^5-16 x^6+224 x^7+(2 x^4+16 x^5+32 x^6) \log (x)) \log (4-7 x-\log (x))+(-4 x^3-25 x^4-8 x^5+112 x^6+(x^3+8 x^4+16 x^5) \log (x)) \log ^2(4-7 x-\log (x))} \, dx\) [796]
3.8.97
\(\int \genfrac {}{}{}{}{-28+13 x^2+8 x^3-2 x^4+(28+16 x-15 x^2-4 x^3+2 x^4) \log (\genfrac {}{}{}{}{7+4 x-2 x^2}{-4 x+x^3}) \log (\log (\genfrac {}{}{}{}{7+4 x-2 x^2}{-4 x+x^3}))}{(28+16 x-15 x^2-4 x^3+2 x^4) \log (\genfrac {}{}{}{}{7+4 x-2 x^2}{-4 x+x^3})} \, dx\) [797]
3.8.98
\(\int \genfrac {}{}{}{}{(-15-5 x+e^4 (10+5 x)+e^{2 x} (-3-5 x-2 x^2+e^4 (2+5 x+2 x^2))+e^{2 x} (-4-2 x) \log (2+x)) \log (\log (i \pi +\log (2)))}{2+x} \, dx\) [798]
3.8.99
\(\int \genfrac {}{}{}{}{x^2+2 x^3+e^{10} (1+x)+e^5 (2 x+4 x^2)+e^{e^x} (-4 e^{10} x-8 e^5 x^2-4 x^3+e^x (-4 e^{10} x^2-8 e^5 x^3-4 x^4))}{e^{10} x+2 e^5 x^2+x^3} \, dx\) [799]
3.8.100
\(\int \genfrac {}{}{}{}{-8 e^{2/x}+x^2+512 x^3-192 x^4+16 x^5+e^{\genfrac {}{}{}{}{1}{x}} (-64 x+72 x^2-16 x^3)+e^{2 x} (448 x^2-120 x^3+8 x^4)+e^x (-512 x^2-256 x^3+104 x^4-8 x^5+e^{\genfrac {}{}{}{}{1}{x}} (64-8 x-56 x^2+8 x^3))}{x^2} \, dx\) [800]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]