3.9 Integrals 801 to 900

3.9.1 \(\int e^{398+160 x+16 x^2+\genfrac {}{}{}{}{2 (e^2 x+e^4 x)}{e^2}} (18 e^4+e^2 (1458+288 x)) \, dx\) [801]
3.9.2 \(\int \genfrac {}{}{}{}{e^8 (12288 e x^2+12800 x^3)+e^8 (1536 e x^2+1568 x^3) \log (e+x)+e^8 (48 e x^2+48 x^3) \log ^2(e+x)}{e+x} \, dx\) [802]
3.9.3 \(\int \genfrac {}{}{}{}{-55+220 x-82 x^2+8 x^3+e^{2-x^2} (-50 x+20 x^2-2 x^3)}{(-75-25 x+118 x^2-42 x^3+4 x^4+e^{2-x^2} (25-10 x+x^2)) \log (\genfrac {}{}{}{}{15+e^{2-x^2} (-5+x)+8 x-22 x^2+4 x^3}{-5+x})} \, dx\) [803]
3.9.4 \(\int \genfrac {}{}{}{}{5 x^3+2 x^4+e^x (-80+40 x^2+8 x^3)+e^{-1-x} (-20 x-20 x^2-16 x^3-4 x^4)}{4 x^3} \, dx\) [804]
3.9.5 \(\int \genfrac {}{}{}{}{-20+5 x}{(-2 x+x^2) \log ^2(\genfrac {}{}{}{}{2-x}{x^2})} \, dx\) [805]
3.9.6 \(\int \genfrac {}{}{}{}{1}{3} (3+e^{-\genfrac {}{}{}{}{2 e^2 x}{3}} (6 x-2 e^2 x^2)) \, dx\) [806]
3.9.7 \(\int (2-e^3+6 x-64 x^3) \, dx\) [807]
3.9.8 \(\int \genfrac {}{}{}{}{10+22 x+4 x^2+5 x^5+x^6+(10+4 x+15 x^4+3 x^5) \log (x)+(15 x^3+3 x^4) \log ^2(x)+(5 x^2+x^3) \log ^3(x)+(10+2 x+(10+2 x+15 x^4+3 x^5) \log (x)+(30 x^3+6 x^4) \log ^2(x)+(15 x^2+3 x^3) \log ^3(x)) \log (5+x)+((15 x^3+3 x^4) \log ^2(x)+(15 x^2+3 x^3) \log ^3(x)) \log ^2(5+x)+(5 x^2+x^3) \log ^3(x) \log ^3(5+x)}{5 x^6+x^7+(15 x^5+3 x^6) \log (x)+(15 x^4+3 x^5) \log ^2(x)+(5 x^3+x^4) \log ^3(x)+((15 x^5+3 x^6) \log (x)+(30 x^4+6 x^5) \log ^2(x)+(15 x^3+3 x^4) \log ^3(x)) \log (5+x)+((15 x^4+3 x^5) \log ^2(x)+(15 x^3+3 x^4) \log ^3(x)) \log ^2(5+x)+(5 x^3+x^4) \log ^3(x) \log ^3(5+x)} \, dx\) [808]
3.9.9 \(\int \genfrac {}{}{}{}{-8+16 x-8 x^2+(-12-14 x+34 x^2-6 x^3-2 x^4) \log (6+x)+(-24+20 x+4 x^2) \log (6+x) \log (\log ^2(6+x))}{(6 x^3+19 x^4+21 x^5+9 x^6+x^7) \log (6+x)+(36 x^2+78 x^3+48 x^4+6 x^5) \log (6+x) \log (\log ^2(6+x))+(72 x+84 x^2+12 x^3) \log (6+x) \log ^2(\log ^2(6+x))+(48+8 x) \log (6+x) \log ^3(\log ^2(6+x))} \, dx\) [809]
3.9.10 \(\int (2-e^x+\log (\genfrac {}{}{}{}{2 x^2}{3})) \, dx\) [810]
3.9.11 \(\int \genfrac {}{}{}{}{5+30 x^2+45 x^4+e^{\genfrac {}{}{}{}{81 x^3}{5+15 x^2}} (-5-30 x^2-243 x^3-45 x^4-243 x^5)}{5+30 x^2+45 x^4} \, dx\) [811]
3.9.12 \(\int \genfrac {}{}{}{}{-36963+11655 x+219 x^2+x^3+(36963-23310 x-657 x^2-4 x^3) \log (x)}{\log ^2(x)} \, dx\) [812]
3.9.13 \(\int \genfrac {}{}{}{}{2-2 e^x x+e^x x (1+x)}{2 x} \, dx\) [813]
3.9.14 \(\int \genfrac {}{}{}{}{-40 e^{3+2 e^x} x \log ^2(2)+e^{e^x} (125 e^3 \log (2)-125 e^{3+x} x \log (2))}{1250 x^2-400 e^{e^x} x^3 \log (2)+32 e^{2 e^x} x^4 \log ^2(2)} \, dx\) [814]
3.9.15 \(\int \genfrac {}{}{}{}{-6480-4320 x-924 x^2-70 x^3-x^4+(1296+864 x+216 x^2+24 x^3+x^4) \log (x)}{20736-24480 x-3143 x^2+5256 x^3+1806 x^4+216 x^5+9 x^6+(-10368+2664 x+4344 x^2+1250 x^3+144 x^4+6 x^5) \log (x)+(1296+864 x+216 x^2+24 x^3+x^4) \log ^2(x)} \, dx\) [815]
3.9.16 \(\int (-10+x^x (-1-\log (x))) \, dx\) [816]
3.9.17 \(\int -\genfrac {}{}{}{}{\log (6)}{2} \, dx\) [817]
3.9.18 \(\int \genfrac {}{}{}{}{e^{2 x} (1-6 x)-3 x^2-6 x^3+e^x (6 x+8 x^2)}{e^{2 x}-2 e^x x+x^2} \, dx\) [818]
3.9.19 \(\int \genfrac {}{}{}{}{-274-68 x-4 x^2}{289+68 x+4 x^2} \, dx\) [819]
3.9.20 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^3}{e^4 (4+x^2)}} (-12 x^2-x^4)+e^4 (32+16 x^2+2 x^4)}{e^4 (16+8 x^2+x^4)} \, dx\) [820]
3.9.21 \(\int (1+10 \log (\log (2))) \, dx\) [821]
3.9.22 \(\int \genfrac {}{}{}{}{e^{-e^{6-2 e^{2 x}} x^2-2 e^{3-e^{2 x}} x^2 \log (\log (4))-x^2 \log ^2(\log (4))} (-4+e^{6-2 e^{2 x}} (-8 x^2+16 e^{2 x} x^3)+e^{3-e^{2 x}} (-16 x^2+16 e^{2 x} x^3) \log (\log (4))-8 x^2 \log ^2(\log (4)))}{x^2} \, dx\) [822]
3.9.23 \(\int \genfrac {}{}{}{}{5^{\genfrac {}{}{}{}{5 x^2}{(-80+25 x) \log (5)+e^x (5 x^3+(3 x^2+5 x^3) \log (5))}} ((-800 x+125 x^2) \log ^2(5)+e^x ((-25 x^4-25 x^5) \log (5)+(-40 x^4-25 x^5) \log ^2(5)))}{(6400-4000 x+625 x^2) \log ^2(5)+e^x ((-800 x^3+250 x^4) \log (5)+(-480 x^2-650 x^3+250 x^4) \log ^2(5))+e^{2 x} (25 x^6+(30 x^5+50 x^6) \log (5)+(9 x^4+30 x^5+25 x^6) \log ^2(5))} \, dx\) [823]
3.9.24 \(\int \genfrac {}{}{}{}{x+2 e^{2 x} x+2 x^2+12 x^3+4 x^4+e^x (2+2 x+2 x^2)+(2+2 x+2 e^x x) \log (x)}{x} \, dx\) [824]
3.9.25 \(\int \genfrac {}{}{}{}{20+(16 x+8 x^2+x^3) \log (19)-5 x \log (\genfrac {}{}{}{}{x}{\log (5)})}{(16 x+8 x^2+x^3) \log (19)} \, dx\) [825]
3.9.26 \(\int \genfrac {}{}{}{}{-2-2 e^{2 e^{\genfrac {}{}{}{}{1}{2} (2 x+\log (e^2 x))}}+6 x^2+e^{e^{\genfrac {}{}{}{}{1}{2} (2 x+\log (e^2 x))}} (-4+6 x^2+e^{\genfrac {}{}{}{}{1}{2} (2 x+\log (e^2 x))} (-x^2-2 x^3))}{2+4 e^{e^{\genfrac {}{}{}{}{1}{2} (2 x+\log (e^2 x))}}+2 e^{2 e^{\genfrac {}{}{}{}{1}{2} (2 x+\log (e^2 x))}}} \, dx\) [826]
3.9.27 \(\int \genfrac {}{}{}{}{e^{e^{2 x}} (-1+2 e^{2 x} x) \log (x) \log ^3(\log (x))+e^{\genfrac {}{}{}{}{256+x \log ^2(\log (x))}{\log ^2(\log (x))}} (512+(1-x) \log (x) \log ^3(\log (x)))}{e^{\genfrac {}{}{}{}{2 (256+x \log ^2(\log (x)))}{\log ^2(\log (x))}} \log (x) \log ^3(\log (x))+e^{\genfrac {}{}{}{}{256+x \log ^2(\log (x))}{\log ^2(\log (x))}} (-2 e^{e^{2 x}} \log (x)+2 x \log (x)) \log ^3(\log (x))+(e^{2 e^{2 x}} \log (x)-2 e^{e^{2 x}} x \log (x)+x^2 \log (x)) \log ^3(\log (x))} \, dx\) [827]
3.9.28 \(\int \genfrac {}{}{}{}{1}{(22 x+x \log (\sqrt [3]{2} x)) \log (-22-\log (\sqrt [3]{2} x))} \, dx\) [828]
3.9.29 \(\int \genfrac {}{}{}{}{e^{-e^x-x} (3-3 x-x^2+e^x (10-3 x-x^2))}{4-4 x+x^2} \, dx\) [829]
3.9.30 \(\int \genfrac {}{}{}{}{-40 x+60 x^5+\genfrac {}{}{}{}{(-10+15 x^4)^5 (-100 x-1350 x^5)}{e}}{-8+12 x^4+\genfrac {}{}{}{}{(-10+15 x^4)^5 (-40+60 x^4)}{e}+\genfrac {}{}{}{}{(-10+15 x^4)^{10} (-50+75 x^4)}{e^2}} \, dx\) [830]
3.9.31 \(\int \genfrac {}{}{}{}{-18 x^2+60 x^3+e^{e^x} (12 x-30 x^2+e^x (6 x^2-30 x^3))}{1-10 x+25 x^2} \, dx\) [831]
3.9.32 \(\int \genfrac {}{}{}{}{24+e^x (-24-12 x)+12 x+e^2 (24+12 x)+e^{-3+2 x} (24+12 x)+(-12 x-12 e^2 x+e^x (-12 x-12 x^2)+e^{-3+2 x} (36 x+24 x^2)) \log (x)}{4 x+4 x^2+x^3} \, dx\) [832]
3.9.33 \(\int \genfrac {}{}{}{}{e^{-x} (4 \log ^2(5)+((-x-x^2) \log (3)+(4+4 x) \log ^2(5)) \log (\genfrac {}{}{}{}{-x \log (3)+4 \log ^2(5)}{x}))}{-x^3 \log (3)+4 x^2 \log ^2(5)} \, dx\) [833]
3.9.34 \(\int \genfrac {}{}{}{}{-8 x^3-8 x^4+8 x^5+e^{e^2} (8 x^3-8 x^4)+(-16 x^3+16 e^{e^2} x^3-16 x^4) \log (\genfrac {}{}{}{}{5 e^x}{-3 x+3 e^{e^2} x-3 x^2})}{(-1+e^{e^2}-x) \log ^3(\genfrac {}{}{}{}{5 e^x}{-3 x+3 e^{e^2} x-3 x^2})} \, dx\) [834]
3.9.35 \(\int \genfrac {}{}{}{}{14-4 x}{5+e^{-3+x}-2 x} \, dx\) [835]
3.9.36 \(\int e^{60 x^2 \log (\genfrac {}{}{}{}{3}{x})+4 x^2 \log (\genfrac {}{}{}{}{3}{x}) \log (x)} (1-60 x^2+124 x^2 \log (\genfrac {}{}{}{}{3}{x})+(-4 x^2+8 x^2 \log (\genfrac {}{}{}{}{3}{x})) \log (x)) \, dx\) [836]
3.9.37 \(\int (3 x^2+x^4+5 x^4 \log (x)) \, dx\) [837]
3.9.38 \(\int \genfrac {}{}{}{}{144-144 x+38 x^2+e^4 (12-12 x+3 x^2)}{144 x-128 x^2+18 x^3+5 x^4+e^4 (12 x-12 x^2+3 x^3)} \, dx\) [838]
3.9.39 \(\int \genfrac {}{}{}{}{-16-24 x-65 x^2-36 x^3-4 x^4+(8+2 x+16 x^2+8 x^3) \log (x)-\log ^2(x)}{16 x^2+8 x^3+x^4+(-8 x^2-2 x^3) \log (x)+x^2 \log ^2(x)} \, dx\) [839]
3.9.40 \(\int \genfrac {}{}{}{}{36 x^4+e^{32} (-2 x+2 x^2)+e^{16} (6 x^2-18 x^3)+(e^{32} (2-2 x)+12 e^{16} x^2) \log (x)}{9 x} \, dx\) [840]
3.9.41 \(\int \genfrac {}{}{}{}{2 e^{e^5}-4 e^{e^5} \log (x)}{5 e^7 x^3+2 e^{e^5} x \log (x)} \, dx\) [841]
3.9.42 \(\int \genfrac {}{}{}{}{e^x (-784-170 x-34 x^2-2 x^3+(196+28 x+x^2) \log (4))+e^x (112+12 x+2 x^2+(-28-2 x) \log (4)) \log (3 x)+e^x (-4+\log (4)) \log ^2(3 x)}{196+28 x+x^2+(-28-2 x) \log (3 x)+\log ^2(3 x)} \, dx\) [842]
3.9.43 \(\int \genfrac {}{}{}{}{24 x+6 x^2-21 x^3+5 x^4+5 x^5+(4+6 x-5 x^2-5 x^3) \log (\genfrac {}{}{}{}{-100+100 x}{(16+80 x+140 x^2+100 x^3+25 x^4) \log (2)})}{-4 x^2-6 x^3+5 x^4+5 x^5} \, dx\) [843]
3.9.44 \(\int \genfrac {}{}{}{}{-256000-153600 x-30720 x^2-2048 x^3-4000 x^4+7200 x^5+5600 x^6+1280 x^7+96 x^8+200 x^9-2 e^4 x^9+290 x^{10}+148 x^{11}+30 x^{12}+2 x^{13}+e^2 (-3200 x^4-1440 x^5-160 x^6-50 x^8-60 x^9-14 x^{10})+e^8 (-16000 x^4-9600 x^5-1920 x^6-128 x^7-250 x^8-350 x^9-170 x^{10}-32 x^{11}-2 x^{12}+e^2 (-10 x^9-2 x^{10}))+(16000 x^4+9600 x^5+1920 x^6+128 x^7+250 x^8+350 x^9+170 x^{10}+32 x^{11}+2 x^{12}+e^2 (10 x^9+2 x^{10})) \log (x)}{125 x^9+75 x^{10}+15 x^{11}+x^{12}} \, dx\) [844]
3.9.45 \(\int \genfrac {}{}{}{}{e^{e^{e^2} (100-2 e^x+x)} (-5+e^{e^2} (5 x-10 e^x x))}{e^{2 e^{e^2} (100-2 e^x+x)}-2 e^{e^{e^2} (100-2 e^x+x)} x+x^2} \, dx\) [845]
3.9.46 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 (-5 x+(25+40 x+16 x^2+e^{2 x} x^2+e^x (10 x+8 x^2)) \log ^2(x))}{x}} (e^{\genfrac {}{}{}{}{2 (-5 x+(25+40 x+16 x^2+e^{2 x} x^2+e^x (10 x+8 x^2)) \log ^2(x))}{x}} (2 x^2+2 x^3)+(-900-1440 x-576 x^2-36 e^{2 x} x^2+e^x (-360 x-288 x^2)) \log (x)+(450-288 x^2+e^x (-324 x^2-144 x^3)+e^{2 x} (-18 x^2-36 x^3)) \log ^2(x)+e^{\genfrac {}{}{}{}{-5 x+(25+40 x+16 x^2+e^{2 x} x^2+e^x (10 x+8 x^2)) \log ^2(x)}{x}} (6 x^2+(-300-780 x-672 x^2-192 x^3+e^x (-120 x-216 x^2-96 x^3)+e^{2 x} (-12 x^2-12 x^3)) \log (x)+(150+150 x-96 x^2-96 x^3+e^x (-108 x^2-156 x^3-48 x^4)+e^{2 x} (-6 x^2-18 x^3-12 x^4)) \log ^2(x)))}{x^2} \, dx\) [846]
3.9.47 \(\int \genfrac {}{}{}{}{e^x (-20-12 x+4 x^2)+e^x (12+8 x) \log (x)+e^{e^{-x} x} (-e^x+x^2-x^3+(e^x+x-x^2) \log (x))+(4 e^x-4 e^x \log (x)) \log (2 x^2)}{4 e^x x^2+8 e^x x \log (x)+4 e^x \log ^2(x)} \, dx\) [847]
3.9.48 \(\int -\genfrac {}{}{}{}{60}{-21+20 e^4-15 x} \, dx\) [848]
3.9.49 \(\int \genfrac {}{}{}{}{2 x-7 x^2+3 x^3+e^3 (4 x^3-32 x^4+48 x^5-20 x^6)+e^6 (-28 x^6+84 x^7-84 x^8+28 x^9)+(-2+10 x-12 x^2+4 x^3+e^3 (16 x^3-48 x^4+48 x^5-16 x^6)) \log (x)+(-1+3 x-3 x^2+x^3) \log ^2(x)}{-1+3 x-3 x^2+x^3} \, dx\) [849]
3.9.50 \(\int \genfrac {}{}{}{}{400+150 x}{-100 x-25 x^2+(64 x^5+48 x^6+12 x^7+x^8) \log ^2(\log (4))} \, dx\) [850]
3.9.51 \(\int \genfrac {}{}{}{}{500 x^2+e^{5/x} (150000+33000 x+1815 x^2)}{30000 x^2+6600 x^3+363 x^4} \, dx\) [851]
3.9.52 \(\int \genfrac {}{}{}{}{e^{x^2} (-60 x^3+2 x^4)-2 x^3 \log (-30+x)+(30 x^2-x^3+e^{x^2} (120 x^3-4 x^4)) \log ^2(-30+x)+(30 x-31 x^2+x^3+e^{x^2} (-60 x^3+2 x^4)) \log ^4(-30+x)+(e^{x^2} (120 x^2-4 x^3) \log ^2(-30+x)+(-60 x+2 x^2+e^{x^2} (-120 x^2+4 x^3)) \log ^4(-30+x)) \log (x)+e^{x^2} (-60 x+2 x^2) \log ^4(-30+x) \log ^2(x)}{-30 x^2+x^3+(60 x^2-2 x^3) \log ^2(-30+x)+(-30 x^2+x^3) \log ^4(-30+x)+((60 x-2 x^2) \log ^2(-30+x)+(-60 x+2 x^2) \log ^4(-30+x)) \log (x)+(-30+x) \log ^4(-30+x) \log ^2(x)} \, dx\) [852]
3.9.53 \(\int \genfrac {}{}{}{}{48-98 x+53 x^2+15 x^3+(-440+314 x+286 x^2+45 x^3) \log (4+x)}{48+12 x} \, dx\) [853]
3.9.54 \(\int \genfrac {}{}{}{}{2-2 x-2 e^{2-x} x+e^{4 x+x^2} (7 x-e^{2-x} x+4 x^2)+(-x-e^{2-x} x) \log (x)}{2 x+e^{4 x+x^2} x+x \log (x)} \, dx\) [854]
3.9.55 \(\int \genfrac {}{}{}{}{-4-x^2-\log (2 x)}{(5 x-x^3+x \log (2 x)) \log (\genfrac {}{}{}{}{-5+x^2-\log (2 x)}{x})} \, dx\) [855]
3.9.56 \(\int e^{20 e^{-2 x+9 x^3}-2 x+9 x^3} (-40+540 x^2) \, dx\) [856]
3.9.57 \(\int \genfrac {}{}{}{}{24 x+72 x^2+48 x^3+32 x^5+80 x^6+64 x^7+16 x^8+e^x (64 x^4+192 x^5+256 x^6+192 x^7+64 x^8)}{9-24 x^4-24 x^5+16 x^8+32 x^9+16 x^{10}+e^{2 x} (256 x^6+512 x^7+256 x^8)+e^x (-96 x^3-96 x^4+128 x^7+256 x^8+128 x^9)} \, dx\) [857]
3.9.58 \(\int -\genfrac {}{}{}{}{8}{144+192 x+64 x^2+(-24-16 x) \log (16)+\log ^2(16)} \, dx\) [858]
3.9.59 \(\int \genfrac {}{}{}{}{(-125-55 x-6 x^2+50 x^4+20 x^5+2 x^6) \log (4)+(-5 x+200 x^4+80 x^5+8 x^6) \log (4) \log (x) \log (\genfrac {}{}{}{}{2}{\log (x)})}{(25 x+10 x^2+x^3) \log (x) \log ^2(\genfrac {}{}{}{}{2}{\log (x)})} \, dx\) [859]
3.9.60 \(\int \genfrac {}{}{}{}{-750+750 x-247 x^2+150 x^3+3 x^4+(750-30 x+780 x^2-530 x^3+30 x^4) \log (x)+(75-150 x+150 x^2-150 x^3+75 x^4) \log ^2(x)}{x^2+(-10 x+10 x^2) \log (x)+(25-50 x+25 x^2) \log ^2(x)} \, dx\) [860]
3.9.61 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{25-320 x+128 x^2-64 x \log (x)}{64 x}} (-25-64 x+128 x^2)}{16 x^2} \, dx\) [861]
3.9.62 \(\int (1+59049 e^{-e^{-3+4 x}+2 x} (-2+4 e^{-3+4 x})) \, dx\) [862]
3.9.63 \(\int \genfrac {}{}{}{}{5+e^2 (5-100 x-90 x^2-20 x^3)+5 e^2 \log (4)}{e^2} \, dx\) [863]
3.9.64 \(\int \genfrac {}{}{}{}{-432+216 x-3 x^2+36 \log (5)}{1296-72 x+x^2} \, dx\) [864]
3.9.65 \(\int (2 e^{16+2 x}+e^{8+x} (2+2 x)) \, dx\) [865]
3.9.66 \(\int (3+e^{2+e^3}+e^x (-1-x)-2 x) \, dx\) [866]
3.9.67 \(\int \genfrac {}{}{}{}{2 x^2+e^{-4+5 x} (2-10 x+(-9+45 x+15 x^2) \log (2))}{x^2} \, dx\) [867]
3.9.68 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^3 (-5+5 x)-3 e^3 \log (3)-3 e^3 \log (3 x^2)}{-1+x}} (e^3 (6-6 x)+3 e^3 x \log (3)+3 e^3 x \log (3 x^2))}{x-2 x^2+x^3} \, dx\) [868]
3.9.69 \(\int e^{-16 x} (675 x^2-3600 x^3) \, dx\) [869]
3.9.70 \(\int \genfrac {}{}{}{}{(-75-53 x-2 x^2) \log ^2(25+x)+(-15 x-5 x^2) \log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2))+(-1125-420 x-15 x^2) \log (25+x) \log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2))+(225+84 x+3 x^2) \log ^2(25+x) \log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2)) \log (\log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2)))+((375+140 x+5 x^2) \log (25+x) \log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2))+(-75-28 x-x^2) \log ^2(25+x) \log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2)) \log (\log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2)))) \log (\genfrac {}{}{}{}{5-\log (25+x) \log (\log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2)))}{\log (25+x)})}{(-375-140 x-5 x^2) \log (25+x) \log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2))+(75+28 x+x^2) \log ^2(25+x) \log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2)) \log (\log (\genfrac {}{}{}{}{1}{3} (-3 x-x^2)))} \, dx\) [870]
3.9.71 \(\int \genfrac {}{}{}{}{e^{-x} (-5 x+e^x (e^{4/x} (4-x)+e^4 x-2 x^2))}{5 x} \, dx\) [871]
3.9.72 \(\int \genfrac {}{}{}{}{-8 x-40 x^2+(-1-10 x) \log ^2(x)+(-4-20 x+(1+5 x) \log ^2(x)) \log (x+5 x^2)}{(2 x^2+10 x^3) \log ^2(x)+(x+5 x^2) \log ^2(x) \log (x+5 x^2)} \, dx\) [872]
3.9.73 \(\int \genfrac {}{}{}{}{e^3 (10+x^2)+e^{3+x} (-5 x^2-5 x^3)}{x^2} \, dx\) [873]
3.9.74 \(\int \genfrac {}{}{}{}{e^{-x} (-20 x^2-2 e^{2 x} x^2-2 x^4+e^x (4 x^2-4 x^3)+(-50-50 x+15 x^2+5 x^3-x^4+x^5+e^x (10-2 x^2)+e^{2 x} (-5+5 x+x^2-x^3)) \log (10-2 x^2))}{-5 x^2+x^4} \, dx\) [874]
3.9.75 \(\int \genfrac {}{}{}{}{20-12 e^{10-8 x}-40 x-8 x^2+24 x^3-12 x^4+e^{5-4 x} (-76-8 x+24 x^2)}{25-10 x+31 x^2-36 x^3+15 x^4-18 x^5+9 x^6+e^{10-8 x} (e^6-6 e^3 x+9 x^2)+e^6 (x^2-2 x^3+x^4)+e^3 (-10 x+12 x^2-8 x^3+12 x^4-6 x^5)+e^{5-4 x} (30 x-6 x^2+18 x^3-18 x^4+e^6 (2 x-2 x^2)+e^3 (-10+2 x-12 x^2+12 x^3))} \, dx\) [875]
3.9.76 \(\int \genfrac {}{}{}{}{4 e^5 x+24 e^5 \log (3)-x \log (\genfrac {}{}{}{}{1}{25} (\log ^2(4)-2 \log (4) \log (5)+\log ^2(5)))}{x^3} \, dx\) [876]
3.9.77 \(\int (-6+e^{5 x-x^3} (-20+12 x^2)-\log (x)) \, dx\) [877]
3.9.78 \(\int \genfrac {}{}{}{}{e^{5+e^{x^2}} (-3+6 e^{x^2} x^2)}{x^2} \, dx\) [878]
3.9.79 \(\int \genfrac {}{}{}{}{(4+5 x+x^2) \log (\genfrac {}{}{}{}{4+x}{2+2 x})+\log (2 x) (3 x+(-4-5 x-x^2) \log (\genfrac {}{}{}{}{4+x}{2+2 x}))}{(4 x^2+5 x^3+x^4) \log ^2(\genfrac {}{}{}{}{4+x}{2+2 x})} \, dx\) [879]
3.9.80 \(\int \genfrac {}{}{}{}{-2+e^{1+e^x x} (-6 x+e^x (-6 x^2-6 x^3))}{27 e^{3+3 e^x x} x^4+27 e^{2+2 e^x x} x^3 \log (x)+9 e^{1+e^x x} x^2 \log ^2(x)+x \log ^3(x)} \, dx\) [880]
3.9.81 \(\int (e^{2 x} (7+14 x)+x^{-3+6 x} (e^{2 x} (-2+8 x)+6 e^{2 x} x \log (x))) \, dx\) [881]
3.9.82 \(\int \genfrac {}{}{}{}{18+18 x-15 x^2+2 x^3}{18 x-13 x^2+2 x^3} \, dx\) [882]
3.9.83 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2 x+3 x^2}{\log ^2(4)}} (-32 x^4-96 x^5-e^{\genfrac {}{}{}{}{2 x+3 x^2}{\log ^2(4)}} \log ^2(4)+64 x^3 \log ^2(4)+e^{\genfrac {}{}{}{}{3 (2 x+3 x^2)}{4 \log ^2(4)}} (-256 x-768 x^2+512 \log ^2(4))+e^{\genfrac {}{}{}{}{2 x+3 x^2}{2 \log ^2(4)}} (-384 x^2-1152 x^3+768 x \log ^2(4))+e^{\genfrac {}{}{}{}{2 x+3 x^2}{4 \log ^2(4)}} (-192 x^3-576 x^4+384 x^2 \log ^2(4)))}{\log ^2(4)} \, dx\) [883]
3.9.84 \(\int \genfrac {}{}{}{}{-20+4 e^{4 x} x^2+8 x^3}{x^2} \, dx\) [884]
3.9.85 \(\int e^{-4+2 x-2 x^2-\genfrac {}{}{}{}{4 (4+x)}{x}} (16+2 x+2 x^2-4 x^3) \, dx\) [885]
3.9.86 \(\int 1250 e^{\genfrac {}{}{}{}{2}{3} (1+3 e^{x+(i \pi +\log (-2+e^5))^2})+x+(i \pi +\log (-2+e^5))^2} \, dx\) [886]
3.9.87 \(\int \genfrac {}{}{}{}{2}{-8+2 x+\log (4)} \, dx\) [887]
3.9.88 \(\int \genfrac {}{}{}{}{32 x^4-64 x^4 \log (3)+48 x^4 \log ^2(3)-16 x^4 \log ^3(3)+2 x^4 \log ^4(3)+(-20 x^2+20 x^2 \log (3)-5 x^2 \log ^2(3)) \log ^2(\log (3 e^3))+\log ^4(\log (3 e^3))}{16 x^4-32 x^4 \log (3)+24 x^4 \log ^2(3)-8 x^4 \log ^3(3)+x^4 \log ^4(3)+(-8 x^2+8 x^2 \log (3)-2 x^2 \log ^2(3)) \log ^2(\log (3 e^3))+\log ^4(\log (3 e^3))} \, dx\) [888]
3.9.89 \(\int \genfrac {}{}{}{}{e^{-x} (e^{2 e^{-x} x} (2500 x^2-2500 x^3)+e^x (1250 e^5+300 x^2+4 x^3)+e^{e^{-x} x} (-7500 x^2-100 e^x x^2+7400 x^3+100 x^4))}{625 x^2} \, dx\) [889]
3.9.90 \(\int \genfrac {}{}{}{}{4-2 x+e^2 (2 x-x^2)+e^{\genfrac {}{}{}{}{x^2+\log ^2(\genfrac {}{}{}{}{2+e^2 x}{x})}{x}} (-2 x-4 x^2+e^2 (-x^2-2 x^3)+8 \log (\genfrac {}{}{}{}{2+e^2 x}{x})+(4+2 e^2 x) \log ^2(\genfrac {}{}{}{}{2+e^2 x}{x}))}{16+24 x+12 x^2+2 x^3+e^2 (8 x+12 x^2+6 x^3+x^4)+e^{\genfrac {}{}{}{}{3 (x^2+\log ^2(\genfrac {}{}{}{}{2+e^2 x}{x}))}{x}} (2 x^3+e^2 x^4)+e^{\genfrac {}{}{}{}{2 (x^2+\log ^2(\genfrac {}{}{}{}{2+e^2 x}{x}))}{x}} (12 x^2+6 x^3+e^2 (6 x^3+3 x^4))+e^{\genfrac {}{}{}{}{x^2+\log ^2(\genfrac {}{}{}{}{2+e^2 x}{x})}{x}} (24 x+24 x^2+6 x^3+e^2 (12 x^2+12 x^3+3 x^4))} \, dx\) [890]
3.9.91 \(\int \genfrac {}{}{}{}{-5+10 x-15 x^2+e^{2+x+e^4 x^2} (-5-5 x-10 e^4 x^2)}{1+2 x-x^2+e^{4+2 x+2 e^4 x^2} x^2+3 x^4-2 x^5+x^6+e^{2+x+e^4 x^2} (2 x+2 x^2-2 x^3+2 x^4)} \, dx\) [891]
3.9.92 \(\int \genfrac {}{}{}{}{e^2}{3 x} \, dx\) [892]
3.9.93 \(\int \genfrac {}{}{}{}{e^{4 x^2+8 x \log (4)+4 \log ^2(4)} (-1+8 x^2+8 x \log (4))}{2 x^2} \, dx\) [893]
3.9.94 \(\int e^{e^{-x} (24+2 e^{256})-x} (-24-2 e^{256}) \, dx\) [894]
3.9.95 \(\int \genfrac {}{}{}{}{2 x+e^5 (-1-12 x-3 x^2)+e^5 \log (\genfrac {}{}{}{}{2-e}{x})}{e^5} \, dx\) [895]
3.9.96 \(\int \genfrac {}{}{}{}{-36 x+42 x^2-12 x^3+e^2 (-18+24 x-6 x^2)+(-72 x+90 x^2-24 x^3) \log (x)}{e^4 (9 x^2-12 x^3+4 x^4)+e^2 (36 x^3-48 x^4+16 x^5) \log (x)+(36 x^4-48 x^5+16 x^6) \log ^2(x)} \, dx\) [896]
3.9.97 \(\int \genfrac {}{}{}{}{1}{5} e^{\genfrac {}{}{}{}{4 e^x+20 x}{5 x}} (120 x+60 x^2+e^{2 x} (-12+8 x+4 x^2)+e^x (-48+62 x+46 x^2+5 x^3)) \, dx\) [897]
3.9.98 \(\int \genfrac {}{}{}{}{1}{3} e^{-\genfrac {}{}{}{}{x^2}{3}} (-3+e^{\genfrac {}{}{}{}{72+6 x \log (\log (4))}{\log (\log (4))}} (54-6 x)+2 x^2) \, dx\) [898]
3.9.99 \(\int \genfrac {}{}{}{}{-1+16 x+8 e^3 x+e^x x-48 x^2}{x} \, dx\) [899]
3.9.100 \(\int \genfrac {}{}{}{}{3+3 x+(3 x+3 \log (x)) \log (x+\log (x)) \log (\genfrac {}{}{}{}{3}{\log (x+\log (x))})+(-x-2 x^2+e^x (-x-x^2)+(-1+e^x (-1-x)-2 x) \log (x)) \log (x+\log (x)) \log ^2(\genfrac {}{}{}{}{3}{\log (x+\log (x))})}{(x+\log (x)) \log (x+\log (x)) \log ^2(\genfrac {}{}{}{}{3}{\log (x+\log (x))})} \, dx\) [900]