[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.6
Integrals 501 to 600
3.6.1
\(\int \genfrac {}{}{}{}{2-2 x^4-4 \log (4)+(2+50 x^4) \log ^2(4)}{x^3} \, dx\) [501]
3.6.2
\(\int \genfrac {}{}{}{}{5832-3420 x+668 x^2-58 x^3+2 x^4+(-738 x+206 x^2-27 x^3+x^4) \log (\genfrac {}{}{}{}{1}{x^2})}{(2916 x-1710 x^2+334 x^3-29 x^4+x^5) \log (\genfrac {}{}{}{}{1}{x^2})} \, dx\) [502]
3.6.3
\(\int \genfrac {}{}{}{}{32-16 x+e^5 (12 x^2-8 x^3)}{-32+16 x+e^5 (32 x^2-16 x^3)+e^{10} (-8 x^4+4 x^5)+(e^5 (16 x-8 x^2)+e^{10} (-8 x^3+4 x^4)) \log (\genfrac {}{}{}{}{2-x}{2})+e^{10} (-2 x^2+x^3) \log ^2(\genfrac {}{}{}{}{2-x}{2})} \, dx\) [503]
3.6.4
\(\int \genfrac {}{}{}{}{96 x^3-192 x^3 \log (x^2)+(8+e^x) \log ^2(x^2)}{\log ^2(x^2)} \, dx\) [504]
3.6.5
\(\int \genfrac {}{}{}{}{-e^x x+e^x x \log (x)-e^x x \log ^2(x)+e^{e^{-x} x^2} (e^x+(-2 x^2+x^3) \log (x))+(-e^{x+e^{-x} x^2} \log (x)+e^x x \log (x)-e^x x \log ^2(x)) \log (\genfrac {}{}{}{}{e^{e^{-x} x^2}-x+x \log (x)}{5 \log (x)}) \log (\log (\genfrac {}{}{}{}{e^{e^{-x} x^2}-x+x \log (x)}{5 \log (x)}))}{(e^{x+e^{-x} x^2} \log (x)-e^x x \log (x)+e^x x \log ^2(x)) \log (\genfrac {}{}{}{}{e^{e^{-x} x^2}-x+x \log (x)}{5 \log (x)})} \, dx\) [505]
3.6.6
\(\int \genfrac {}{}{}{}{(1+x+e^{4-x} (-x-x^2)) \log (\genfrac {}{}{}{}{e^{-4+x} (-1+e^{4-x} x)}{x})+\log (e^x x) (-1+x+(1-e^{4-x} x) \log (\genfrac {}{}{}{}{e^{-4+x} (-1+e^{4-x} x)}{x}))}{-1+e^{4-x} x} \, dx\) [506]
3.6.7
\(\int \genfrac {}{}{}{}{-8-32 e^{x^2} x}{256+4 e^{2 x^2}-32 x+x^2+e^{x^2} (-64+4 x)} \, dx\) [507]
3.6.8
\(\int \genfrac {}{}{}{}{(4 x+25 2^{5+8 x} e^{2^{1+8 x}} \log (2)+e^{2^{8 x}} (-20-5 2^{5+8 x} x \log (2))) \log (\genfrac {}{}{}{}{1}{25} (100+25 e^{2^{1+8 x}}-10 e^{2^{8 x}} x+x^2+25 \log (2)))}{100+25 e^{2^{1+8 x}}-10 e^{2^{8 x}} x+x^2+25 \log (2)} \, dx\) [508]
3.6.9
\(\int \genfrac {}{}{}{}{-5775+1520 x-28975 x^2+7700 x^3-500 x^4+(5775-1500 x+100 x^2) \log (x)}{5929 x^2-1540 x^3+100 x^4} \, dx\) [509]
3.6.10
\(\int \genfrac {}{}{}{}{1}{2} (-36+45 x-18 \log (4)-18 \log (x^2-e^4 x^2)) \, dx\) [510]
3.6.11
\(\int e^{-3+25 e^{5 x} x^2-100 e^{4 x} x^3+e^{3 x} (200 x^2+150 x^4)+e^{2 x} (-400 x^3-100 x^5)+e^x (400 x^2+200 x^4+25 x^6)} (e^{5 x} (50 x+125 x^2)+e^{4 x} (-300 x^2-400 x^3)+e^{3 x} (400 x+600 x^2+600 x^3+450 x^4)+e^{2 x} (-1200 x^2-800 x^3-500 x^4-200 x^5)+e^x (800 x+400 x^2+800 x^3+200 x^4+150 x^5+25 x^6)) \, dx\) [511]
3.6.12
\(\int \genfrac {}{}{}{}{-5 \log (x)+(1+x) \log ^2(x)+(-20-4 x \log ^2(x)) \log ^3(\genfrac {}{}{}{}{-5+(1+x) \log (x)}{\log (x)})}{-5 x \log (x)+(x+x^2) \log ^2(x)} \, dx\) [512]
3.6.13
\(\int \genfrac {}{}{}{}{x-x^2 \log ^2(2)+2 x \log ^3(2)-\log ^4(2)+((-x^2-x^3) \log ^2(2)+(1+x) \log ^4(2)) \log (\genfrac {}{}{}{}{x}{1+x}) \log (\log (\genfrac {}{}{}{}{x}{1+x})) \log (\log (\log (\genfrac {}{}{}{}{x}{1+x})))}{(10 x^2+10 x^3) \log (\genfrac {}{}{}{}{x}{1+x}) \log (\log (\genfrac {}{}{}{}{x}{1+x}))} \, dx\) [513]
3.6.14
\(\int \genfrac {}{}{}{}{x^2+e^{2-x} (x^2+x^3)-x^2 \log (x)+e^{e^{5-x}} (1+e^{7-2 x} x+e^{2-x} (3+x)+(-3-e^{5-x} x) \log (x))}{-e^{2-x} x^3+x^3 \log (x)+e^{e^{5-x}} (-e^{2-x} x+x \log (x))} \, dx\) [514]
3.6.15
\(\int \genfrac {}{}{}{}{3 x^2+3 x^3-x^4+e^{e^5} (-3-3 x-6 x^3-6 x^4+2 x^5)+e^{2 e^5} (6 x+3 x^2+3 x^4+3 x^5-x^6)}{-4 x^2-x^3+x^4+e^{e^5} (3 x+8 x^3+2 x^4-2 x^5)+e^{2 e^5} (-3 x^2-4 x^4-x^5+x^6)} \, dx\) [515]
3.6.16
\(\int \genfrac {}{}{}{}{1}{4} e^{-13-6 e^{\genfrac {}{}{}{}{3 x}{e^3}}} (-e^3+e^{\genfrac {}{}{}{}{3 x}{e^3}} (-18+18 x)) \, dx\) [516]
3.6.17
\(\int \genfrac {}{}{}{}{e^{-e^{14}+e^x} (-1+e^x x)}{3 e^{-e^{14}+e^x} x+3 x^2} \, dx\) [517]
3.6.18
\(\int \genfrac {}{}{}{}{-144+420 x^2-1260 x^3+68600 x^4+102900 x^5+34300 x^6+(18-60 x^2+390 x^3-29400 x^4-44100 x^5-14700 x^6) \log ^2(5)+(-30 x^3+4200 x^4+6300 x^5+2100 x^6) \log ^4(5)+(-200 x^4-300 x^5-100 x^6) \log ^6(5)+(-18+60 x^2-390 x^3+29400 x^4+44100 x^5+14700 x^6+(60 x^3-8400 x^4-12600 x^5-4200 x^6) \log ^2(5)+(600 x^4+900 x^5+300 x^6) \log ^4(5)) \log (4 x)+(-30 x^3+4200 x^4+6300 x^5+2100 x^6+(-600 x^4-900 x^5-300 x^6) \log ^2(5)) \log ^2(4 x)+(200 x^4+300 x^5+100 x^6) \log ^3(4 x)}{8575 x^3-3675 x^3 \log ^2(5)+525 x^3 \log ^4(5)-25 x^3 \log ^6(5)+(3675 x^3-1050 x^3 \log ^2(5)+75 x^3 \log ^4(5)) \log (4 x)+(525 x^3-75 x^3 \log ^2(5)) \log ^2(4 x)+25 x^3 \log ^3(4 x)} \, dx\) [518]
3.6.19
\(\int (1-4 e^3-e^3 \log (x)) \, dx\) [519]
3.6.20
\(\int e^{-5+x} \, dx\) [520]
3.6.21
\(\int \genfrac {}{}{}{}{-640 e^5 x-80 x^3}{9+30 x^4+6400 e^{10} x^4+25 x^8+e^5 (480 x^2+800 x^6)+(6+160 e^5 x^2+10 x^4) \log (2)+\log ^2(2)} \, dx\) [521]
3.6.22
\(\int \genfrac {}{}{}{}{x^2+e^{\genfrac {}{}{}{}{-2+2 x+x^2}{x}} (-2-x^2)}{10 x^2} \, dx\) [522]
3.6.23
\(\int \genfrac {}{}{}{}{e^{-2+2 x+\genfrac {}{}{}{}{-10+2 e^{-2+2 x} x^3-2 \log (3)-5 \log (5)}{-25+5 e^{-2+2 x} x^3-5 \log (3)}} (3 x^2+2 x^3) \log (5)}{25+e^{-4+4 x} x^6+10 \log (3)+\log ^2(3)+e^{-2+2 x} (-10 x^3-2 x^3 \log (3))} \, dx\) [523]
3.6.24
\(\int \genfrac {}{}{}{}{-2 x^3+(-2500 x+2 x^3) \log (\genfrac {}{}{}{}{1}{125} (-1250+x^2))}{(-1250+x^2) \log ^2(\genfrac {}{}{}{}{1}{125} (-1250+x^2))} \, dx\) [524]
3.6.25
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1-10 x+5 x^2}{-2 x+x^2}} (2-2 x)}{4 x^2-4 x^3+x^4} \, dx\) [525]
3.6.26
\(\int -\genfrac {}{}{}{}{4 e^3}{x^2} \, dx\) [526]
3.6.27
\(\int \genfrac {}{}{}{}{25+14 x^2+(-75-14 x^2) \log (x)}{-9 e^e x^4+(25 x+14 x^3) \log (x)} \, dx\) [527]
3.6.28
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{225+9 x+45 e^{5+x} x-5 x^2}{5 x}} (-45-x^2+9 e^{5+x} x^2)}{x^2} \, dx\) [528]
3.6.29
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{15+3 x-3 \log (\genfrac {}{}{}{}{-1+x+\log (x)}{4 x+\log (x)})}{x}} (-3+39 x-60 x^2+(15-66 x) \log (x)-15 \log ^2(x)+(-12 x+12 x^2+(-3+15 x) \log (x)+3 \log ^2(x)) \log (\genfrac {}{}{}{}{-1+x+\log (x)}{4 x+\log (x)}))}{-4 x^3+4 x^4+(-x^2+5 x^3) \log (x)+x^2 \log ^2(x)} \, dx\) [529]
3.6.30
\(\int \genfrac {}{}{}{}{-1+44 x-40 x^2-6 x^3+2 x^4}{x} \, dx\) [530]
3.6.31
\(\int \genfrac {}{}{}{}{-6-6 \log (x)+(2+3 x^2) \log ^2(x)+(-6 \log (x)+(2-3 x^2) \log ^2(x)) \log (\genfrac {}{}{}{}{6+(-2+3 x^2) \log (x)}{3 \log (x)})}{6 x^2 \log (x)+(-2 x^2+3 x^4) \log ^2(x)} \, dx\) [531]
3.6.32
\(\int \genfrac {}{}{}{}{-2 x^6+e^x (-216 x^3+54 x^5)+(e^{3 x} (-46656+11664 x^2)+e^{2 x} (-216 x^3-216 x^4-54 x^5+54 x^6)+e^x (2 x^6-2 x^7)) \log (x)+(-216 x^3+54 x^5+(2 x^6+e^{2 x} (-139968+34992 x^2)+e^x (-432 x^3-216 x^4-108 x^5+54 x^6)) \log (x)) \log (\log (x))+(-216 x^3-54 x^5+e^x (-139968+34992 x^2)) \log (x) \log ^2(\log (x))+(-46656+11664 x^2) \log (x) \log ^3(\log (x))}{e^{3 x} x^5 \log (x)+3 e^{2 x} x^5 \log (x) \log (\log (x))+3 e^x x^5 \log (x) \log ^2(\log (x))+x^5 \log (x) \log ^3(\log (x))} \, dx\) [532]
3.6.33
\(\int \genfrac {}{}{}{}{12+22 x^2-2 x^3+e^{e^{-4+x}} (-x^2+2 x^3+e^{-4+x} (-x^3+x^4))}{-12 x-9 x^2+22 x^3-x^4+e^{e^{-4+x}} (-x^3+x^4)} \, dx\) [533]
3.6.34
\(\int \genfrac {}{}{}{}{e^{-2 x} (32 e^x x^4+(-x^9+e^x (-160 x^4+32 x^5) \log (x)) \log (\genfrac {}{}{}{}{3}{\log (x)})+(5 x^9-x^{10}) \log (x) \log ^2(\genfrac {}{}{}{}{3}{\log (x)}))}{128 \log (x)} \, dx\) [534]
3.6.35
\(\int \genfrac {}{}{}{}{e^{-1+x} (-32+32 x)}{e^{2 x}-2 e^x x+x^2} \, dx\) [535]
3.6.36
\(\int \genfrac {}{}{}{}{16 x^2+4 x^4+4 x \log (5)+e^{8 e} (16 x^2+8 x^4+x^6+(8 x+2 x^3) \log (5)+\log ^2(5))+(-8 x^4+4 x \log (5)) \log (x) \log (\log (x))}{(16 x^3+8 x^5+x^7+(8 x^2+2 x^4) \log (5)+x \log ^2(5)) \log (x)} \, dx\) [536]
3.6.37
\(\int \genfrac {}{}{}{}{-13+e^4 (52-32 x)+8 x+e^{2 e^x} (-1+4 e^4+e^x (6-2 x+e^4 (-24+8 x)))+e^{e^x} (10-4 x+e^4 (-40+16 x)+e^x (-12+10 x-2 x^2+e^4 (48-40 x+8 x^2)))}{e^4} \, dx\) [537]
3.6.38
\(\int \genfrac {}{}{}{}{953694 x+1262196 x^2+694960 x^3+196000 x^4+28000 x^5+1600 x^6+(-33614 x-48020 x^2-27440 x^3-7840 x^4-1120 x^5-64 x^6) \log (x)+(-33614 x-48020 x^2-27440 x^3-7840 x^4-1120 x^5-64 x^6) \log ^2(x)}{16807+24010 x+13720 x^2+3920 x^3+560 x^4+32 x^5} \, dx\) [538]
3.6.39
\(\int \genfrac {}{}{}{}{-20 e^{\genfrac {}{}{}{}{1}{5} (11 x+10 \log (3 x))} x^2 \log ^2(x)+e^{\genfrac {}{}{}{}{1}{10} (11 x+10 \log (3 x))} (30+30 x+(60+123 x+33 x^2) \log (x))}{90-120 e^{\genfrac {}{}{}{}{1}{10} (11 x+10 \log (3 x))} x \log (x)+40 e^{\genfrac {}{}{}{}{1}{5} (11 x+10 \log (3 x))} x^2 \log ^2(x)} \, dx\) [539]
3.6.40
\(\int \genfrac {}{}{}{}{e^{4 x-2 x^2}+16 x^2+4 \log (5)+e^{2 x-x^2} (-8 x+(-2+2 x) \log (5))}{e^{4 x-2 x^2}-8 e^{2 x-x^2} x+16 x^2} \, dx\) [540]
3.6.41
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{9+123 x+30 x^2}{10 \log (\genfrac {}{}{}{}{2+x^2}{x})}} (18+246 x+51 x^2-123 x^3-30 x^4+(246 x+120 x^2+123 x^3+60 x^4) \log (\genfrac {}{}{}{}{2+x^2}{x})+(20+10 x^2) \log ^2(\genfrac {}{}{}{}{2+x^2}{x}))}{(20+10 x^2) \log ^2(\genfrac {}{}{}{}{2+x^2}{x})} \, dx\) [541]
3.6.42
\(\int \genfrac {}{}{}{}{-8-3 e^{10} x^3+e^{10+x} x^3}{4 x-e^{15} x^3+e^{10+x} x^3+e^{10} (4 x^3-3 x^4)} \, dx\) [542]
3.6.43
\(\int \genfrac {}{}{}{}{1}{10} e^{2-2 e^x} (4+20 e^{-2+2 e^x} x-8 e^x x-2 \log (6 x)+(-1+2 e^x x) \log ^2(6 x)) \, dx\) [543]
3.6.44
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 e^{\genfrac {}{}{}{}{5 e^5}{x}}-x^2+2 \log (2 x)}{x}} (e^{\genfrac {}{}{}{}{5 e^5}{x}} (-10 e^5-2 x)+2 x-x^3-2 x \log (2 x))}{x^3} \, dx\) [544]
3.6.45
\(\int \genfrac {}{}{}{}{e^x (-256+256 x-255 x^2+256 x^3)}{x^2} \, dx\) [545]
3.6.46
\(\int \genfrac {}{}{}{}{64+48 e^3 x+12 e^6 x^2+e^9 x^3+e^{\genfrac {}{}{}{}{x^4}{16+8 e^3 x+e^6 x^2}} (144 x^3+18 e^3 x^4)}{-320+64 x+e^9 (-5+x) x^3+e^6 x^2 (-60+12 x)+e^3 x (-240+48 x)+e^{\genfrac {}{}{}{}{x^4}{16+8 e^3 x+e^6 x^2}} (576+432 e^3 x+108 e^6 x^2+9 e^9 x^3)} \, dx\) [546]
3.6.47
\(\int \genfrac {}{}{}{}{x^2+4 x^3+e^3 (-21 x-8 x^2) (x+4 x^2)+(5+20 x) \log (5)}{x^2+4 x^3} \, dx\) [547]
3.6.48
\(\int \genfrac {}{}{}{}{-e^2+(-2 e^2-e^{50} x) \log (x)}{e^2 x \log (x)} \, dx\) [548]
3.6.49
\(\int \genfrac {}{}{}{}{-25-50 e^x-25 x}{16 x-8 x^2+x^3+e^x (16-8 x+x^2)+(-8 x+2 x^2+e^x (-8+2 x)) \log (e^x+x)+(e^x+x) \log ^2(e^x+x)} \, dx\) [549]
3.6.50
\(\int \genfrac {}{}{}{}{-1+e^{-10+2 e^x-2 x} (-16+8 x-x^2)+e^{-5+e^x-x} (2+e^x (-8+2 x))}{1+e^{-5+e^x-x} (8-2 x)+e^{-10+2 e^x-2 x} (16-8 x+x^2)} \, dx\) [550]
3.6.51
\(\int \genfrac {}{}{}{}{20 x^2-20 x^3+5 x^4+e (-20+20 x-5 x^2)+e^{2 e^4-2 x+(-e^4+x) \log ^4(x)} (3 x^2-2 x^3+(-8 x^2+4 x^3+e^4 (8 x-4 x^2)) \log ^3(x)+(-2 x^2+x^3) \log ^4(x))}{20 x^2-20 x^3+5 x^4} \, dx\) [551]
3.6.52
\(\int (512 x-640 x^3+400 x^4-90 x^5+7 x^6+e^{10+2 e^{40}} (2 x+3 x^2)+e^{5+e^{40}} (64 x+48 x^2-56 x^3+10 x^4)) \, dx\) [552]
3.6.53
\(\int \genfrac {}{}{}{}{1}{2} (2 e+x) \, dx\) [553]
3.6.54
\(\int \genfrac {}{}{}{}{4-x+8 x \log (8 e^{-x/4} x)+(-1-2 x^2+2 x^3+2 x \log (x)) \log ^2(8 e^{-x/4} x)}{4 x \log (8 e^{-x/4} x)+(x^3+x \log (x)) \log ^2(8 e^{-x/4} x)} \, dx\) [554]
3.6.55
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{20+29 x-20 x^2-5 x^3-5 \log (4)}{225 x+45 x^2}} (-100-40 x-129 x^2-50 x^3-5 x^4+(25+10 x) \log (4))}{3375 x^2+1350 x^3+135 x^4} \, dx\) [555]
3.6.56
\(\int \genfrac {}{}{}{}{126-153 x-18 x^2}{e (64+160 x+160 x^2+80 x^3+20 x^4+2 x^5)} \, dx\) [556]
3.6.57
\(\int e^{-3+2 x+e^{e^4} x^2} (-3-6 x-6 e^{e^4} x^2) \, dx\) [557]
3.6.58
\(\int \genfrac {}{}{}{}{(-160 x-80 x^2) \log ^2(4)+(100 x^2+25 x^3) \log ^4(4)+((-160-80 x) \log ^2(4)+100 x \log ^4(4)) \log (x^2)-25 x \log ^4(4) \log ^2(x^2)}{128 x-160 x^2 \log ^2(4)+50 x^3 \log ^4(4)} \, dx\) [558]
3.6.59
\(\int \genfrac {}{}{}{}{50-2 x^2-2 \log (5)}{625+50 x^2+x^4+(-50-2 x^2) \log (5)+\log ^2(5)} \, dx\) [559]
3.6.60
\(\int \genfrac {}{}{}{}{64+5 e^{\genfrac {}{}{}{}{8+x}{4}}+64 x}{4 e^{\genfrac {}{}{}{}{8+x}{4}}+64 x} \, dx\) [560]
3.6.61
\(\int \genfrac {}{}{}{}{e^{4 x} (16120 x^4+e (-1690 x-3380 x^2))}{169 e^2-1612 e x^2+3844 x^4} \, dx\) [561]
3.6.62
\(\int \genfrac {}{}{}{}{14-2 x+4 \log (3)+e^{4+2 x} (1+\log (3))+e^{2+x} (9-6 x+4 \log (3))+e^{e^x} (2+e^{4+3 x} (25+25 \log (3))+e^x (100-50 x+100 \log (3))+e^{2+x} (1-x+e^x (100-25 x+100 \log (3))))+e^{e^x} (e^{2+2 x} (-4+x-4 \log (3))+e^x (-4+2 x-4 \log (3))+e^{4+3 x} (-1-\log (3))) \log (\genfrac {}{}{}{}{2-x+2 \log (3)+e^{2+x} (1+\log (3))}{2+e^{2+x}})}{4-2 x+4 \log (3)+e^{4+2 x} (1+\log (3))+e^{2+x} (4-x+4 \log (3))} \, dx\) [562]
3.6.63
\(\int \genfrac {}{}{}{}{-25 x^4+60 x^5-21 x^6+2 x^7+(120 x^2-264 x^3+48 x^4) \log (3)+(-144+288 x) \log ^2(3)+(16 x^4 \log (3)-384 x \log ^2(3)) \log (5)}{(25 x^4-10 x^5+x^6+(-120 x^2+24 x^3) \log (3)+144 \log ^2(3)) \log (5)} \, dx\) [563]
3.6.64
\(\int \genfrac {}{}{}{}{-10+2 e^3-2 x+e^x (-50+e^3 (10-10 x)+35 x+10 x^2)+e^x (10-7 x-2 x^2+e^3 (-2+2 x)) \log (x)+(-50+10 e^3-15 x+(10-2 e^3+3 x) \log (x)) \log (5-\log (x))}{e^x (25 x-5 e^3 x+5 x^2)+e^x (-5 x+e^3 x-x^2) \log (x)+(25 x-5 e^3 x+5 x^2+(-5 x+e^3 x-x^2) \log (x)) \log (5-\log (x))} \, dx\) [564]
3.6.65
\(\int -\genfrac {}{}{}{}{1}{x} \, dx\) [565]
3.6.66
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-x+\log (x)}{(5+e^x) \log (\log (25 x^2))}} (10 x \log (2)+2 e^x x \log (2)+(-10 \log (2)-2 e^x \log (2)) \log (x)+((5-5 x) \log (2)+e^x (1-x+x^2) \log (2)-e^x x \log (2) \log (x)) \log (25 x^2) \log (\log (25 x^2)))}{(25 x+10 e^x x+e^{2 x} x) \log (25 x^2) \log ^2(\log (25 x^2))} \, dx\) [566]
3.6.67
\(\int \genfrac {}{}{}{}{-96+48 x-6 x^2+e^2 (-160+16 x-8 x^2)}{e^2 (16000-3200 x-920 x^2+76 x^3+22 x^4+x^5)} \, dx\) [567]
3.6.68
\(\int \genfrac {}{}{}{}{-132 e^5+9000 x+180 x^2}{900 x^4+e^{10} (9+6 x+x^2)+e^5 (-180 x^2-60 x^3)} \, dx\) [568]
3.6.69
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3 x^2-3 \log (x^2)}{x^6}} (-6-12 x^2+18 \log (x^2))}{x^7} \, dx\) [569]
3.6.70
\(\int \genfrac {}{}{}{}{-x+e^{-3-e^x+x} (2 x-x^2+e^x x^2) \log (2 x \log (4))+2 x \log (2 x \log (4)) \log (\log (2 x \log (4)))}{e^{-6-2 e^x+2 x} \log (2 x \log (4))+2 e^{-3-e^x+x} \log (2 x \log (4)) \log (\log (2 x \log (4)))+\log (2 x \log (4)) \log ^2(\log (2 x \log (4)))} \, dx\) [570]
3.6.71
\(\int \genfrac {}{}{}{}{-1+192 x+6 x^2+15 x^4+(-4-4 x^2) \log (1+x^2)}{2+2 x^2} \, dx\) [571]
3.6.72
\(\int \genfrac {}{}{}{}{-9 e^{2/3}-9 e^3+e^{-4+x} (162-72 x+8 x^2)}{162-72 x+8 x^2} \, dx\) [572]
3.6.73
\(\int (12-16 x+6 x^2+e^{3/4} (4-8 x+3 x^2)+(4-8 x+3 x^2) \log (2)) \, dx\) [573]
3.6.74
\(\int \genfrac {}{}{}{}{-5-20 x-20 x^2+10 x^3+44 x^4+19 x^5+(-4 x^4-2 x^5) \log (x)}{5 x+15 x^2+15 x^3+5 x^4} \, dx\) [574]
3.6.75
\(\int \genfrac {}{}{}{}{-2 x-x^2-2 \log (\genfrac {}{}{}{}{5}{4})}{4 x+4 x^2+x^3+(4+4 x+x^2) \log (\genfrac {}{}{}{}{5}{4})+(-4 x^2-2 x^3+(-4 x-2 x^2) \log (\genfrac {}{}{}{}{5}{4})) \log (x+\log (\genfrac {}{}{}{}{5}{4}))+(x^3+x^2 \log (\genfrac {}{}{}{}{5}{4})) \log ^2(x+\log (\genfrac {}{}{}{}{5}{4}))} \, dx\) [575]
3.6.76
\(\int \genfrac {}{}{}{}{4+e^{\genfrac {}{}{}{}{e^{3 x}}{x}} (-1+\genfrac {}{}{}{}{e^{3 x} (-1+3 x) \log (-\genfrac {}{}{}{}{x}{3})}{x})}{x \log ^2(-\genfrac {}{}{}{}{x}{3})} \, dx\) [576]
3.6.77
\(\int \genfrac {}{}{}{}{-6 e^{25}-3 x^3+e^x x^3}{2 x^3} \, dx\) [577]
3.6.78
\(\int (-198 x+60 x^2-4 x^3) \, dx\) [578]
3.6.79
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 e^{8 x^4}-4 e^{4 x^4} x^4+2 x^8}{x^4}} (8 x^8-64 e^{4 x^4} x^8+e^{8 x^4} (-8+64 x^4))}{x^5} \, dx\) [579]
3.6.80
\(\int \genfrac {}{}{}{}{-27+e^6+e^4 (-9-3 x)-27 x-9 x^2-x^3+15 x^4+3 x^5+e^2 (27+18 x+3 x^2-5 x^4)}{-27+e^6+e^4 (-9-3 x)-27 x-9 x^2-x^3+e^2 (27+18 x+3 x^2)} \, dx\) [580]
3.6.81
\(\int \genfrac {}{}{}{}{e^x (40-20 x)+e^x (10-5 x) \log (-2+x)+\genfrac {}{}{}{}{e^{4+\log ^2(4+\log (-2+x))} (e^x (-12+4 x)+e^x (-2+x) \log (-2+x)+2 e^x \log (4+\log (-2+x)))}{(4+\log (-2+x))^4}}{-8+4 x+(-2+x) \log (-2+x)} \, dx\) [581]
3.6.82
\(\int \genfrac {}{}{}{}{-16 x-16 x^2 \log (2)+(-20+20 x-4 x^3) \log ^2(2)+(16 x \log (2)+8 x^2 \log ^2(2)) \log (-x)-4 x \log ^2(2) \log ^2(-x)}{64 x-32 x^2+4 x^3+(-80 x+84 x^2-32 x^3+4 x^4) \log (2)+(25 x-40 x^2+26 x^3-8 x^4+x^5) \log ^2(2)+((-64 x+32 x^2-4 x^3) \log (2)+(40 x-42 x^2+16 x^3-2 x^4) \log ^2(2)) \log (-x)+(16 x-8 x^2+x^3) \log ^2(2) \log ^2(-x)} \, dx\) [582]
3.6.83
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3 x}{-5+3 e^{14} x^2}} (110-30 x+18 e^{28} x^4+e^{14} (-24 x^2-18 x^3)+e^{-\genfrac {}{}{}{}{3 x}{-5+3 e^{14} x^2}} (-25+30 e^{14} x^2-9 e^{28} x^4))}{25-30 e^{14} x^2+9 e^{28} x^4} \, dx\) [583]
3.6.84
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-5+5 x^2+e^x x^2+(-50 x-10 e^x x) \log (x)+(125 x+25 e^x x) \log ^2(x)}{5+e^x}} (-250+50 x+e^{2 x} (-10+2 x)+e^x (-95+20 x)+(1000+400 e^x+40 e^{2 x}) \log (x)+(625+250 e^x+25 e^{2 x}) \log ^2(x))}{25+10 e^x+e^{2 x}} \, dx\) [584]
3.6.85
\(\int \genfrac {}{}{}{}{1-2 x+x^2+e^3 (-1+2 x-x^2)+(-x+x^2+e^3 (x-x^2)) \log (x)+(-4+e^3 (4-2 x)+2 x+(-2+e^3 (2-2 x)+2 x) \log (x)) \log (2+\log (2))+(-x+e^3 x+(-2+2 e^3) \log (2+\log (2))) \log (\genfrac {}{}{}{}{1}{2} (x+2 \log (2+\log (2))))}{-x^2-x^2 \log (x)+(-2 x-2 x \log (x)) \log (2+\log (2))+(x+2 \log (2+\log (2))) \log (\genfrac {}{}{}{}{1}{2} (x+2 \log (2+\log (2))))} \, dx\) [585]
3.6.86
\(\int \genfrac {}{}{}{}{336-128 x+592 x^2-256 x^3+256 x^4-128 x^5+(128 x-8 x^2+320 x^3-128 x^4+192 x^5) \log (x)+(-75 x^2-64 x^3+16 x^4-72 x^5) \log ^2(x)+(10 x^2+8 x^5) \log ^3(x)}{7056 x-5376 x^2+11776 x^3-9472 x^4+6144 x^5-4096 x^6+1024 x^7+(-840 x+320 x^2-3328 x^3+2688 x^4-2560 x^5+2048 x^6-512 x^7) \log (x)+(25 x+160 x^3-80 x^4+256 x^5-256 x^6+64 x^7) \log ^2(x)} \, dx\) [586]
3.6.87
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{3-3 x-3 x^2+4 x^3+e^x (-1+x^2)}{-1+x^2}} (-3+9 x^2-4 x^4+e^x (-1+2 x^2-x^4))}{1-2 x^2+x^4} \, dx\) [587]
3.6.88
\(\int \genfrac {}{}{}{}{64+8 x^2+10 x^5-2 e x^5+2 x^6}{x^5} \, dx\) [588]
3.6.89
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{45-9 x}{x^2}} (270-27 x)+3 e^5 x^3-6 e^{7-2 x} x^3}{e^5 x^3} \, dx\) [589]
3.6.90
\(\int \genfrac {}{}{}{}{e^x (2-x)-14 x^3+e^{5-x} (14 x^3-14 x^4)}{14 x^3} \, dx\) [590]
3.6.91
\(\int \genfrac {}{}{}{}{36-12 x+4 x^3+e^{-2-x} x (-24 x^2+20 x^3-4 x^4)+(-12 x^2+4 x^3) \log (-3+x)}{-36 x+9 x^2+x^3+e^{-2-x} x (-12 x^3+4 x^4)+(-12 x^3+4 x^4) \log (-3+x)} \, dx\) [591]
3.6.92
\(\int \genfrac {}{}{}{}{-3-\log (3)-e^3 \log (16)}{x^2} \, dx\) [592]
3.6.93
\(\int e^4 (-2+4 x) \, dx\) [593]
3.6.94
\(\int \genfrac {}{}{}{}{e^{e^{x^2}} (2-2 e^9+e^3 (-6-20 x)+10 x+e^6 (6+10 x)+e^{x^2} (-10 x^3+20 e^3 x^3-10 e^6 x^3)+e^{x^2} (-2 x^2+6 e^3 x^2-6 e^6 x^2+2 e^9 x^2) \log (x))}{-125 x^4+(-75 x^3+75 e^3 x^3) \log (x)+(-15 x^2+30 e^3 x^2-15 e^6 x^2) \log ^2(x)+(-x+3 e^3 x-3 e^6 x+e^9 x) \log ^3(x)} \, dx\) [594]
3.6.95
\(\int \genfrac {}{}{}{}{1}{5} e^{-x} (e^{\genfrac {}{}{}{}{2 e^{-x} x}{5}} (5 e^x+2 x-2 x^2)+e^{(-4+e^5)^x} (-5 e^x-5 (e (-4+e^5))^x x \log (-4+e^5))) \, dx\) [595]
3.6.96
\(\int e^{e^{-\genfrac {}{}{}{}{e^{25+e^x+x} (-4+4 x)}{x}} x-\genfrac {}{}{}{}{e^{25+e^x+x} (-4+4 x)}{x}} (1+\genfrac {}{}{}{}{e^{25+e^x+x} (-4+4 x-4 x^2+e^x (4 x-4 x^2))}{x}) \, dx\) [596]
3.6.97
\(\int e^{-1+e^{4 x} x^2} x^4 (8 x^3+e^{4 x} x^2 (2 x^3+4 x^4)) \, dx\) [597]
3.6.98
\(\int \genfrac {}{}{}{}{1+e^2+2 x^2-\log (x)+(e^2 (-1-2 x)+2 x^2+x \log (5)+\log (x)) \log (\genfrac {}{}{}{}{-2 x^2+e^2 (1+2 x)-x \log (5)-\log (x)}{x})}{e^2 (-1-2 x)+2 x^2+x \log (5)+\log (x)} \, dx\) [598]
3.6.99
\(\int \genfrac {}{}{}{}{-4 x-20 e^{5 \log ^4(x)} \log ^3(x)}{x} \, dx\) [599]
3.6.100
\(\int \genfrac {}{}{}{}{1+(-1+2 x-e^x x) \log (x)}{x \log (x)} \, dx\) [600]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]