3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{2 x \log (x)+(-x+(x+x^2-x^3) \log (x)) \log (2 x^2)+(-2 \log (x)+(-1+x^2) \log (x) \log (2 x^2)) \log (\log (x))+(2 x^2 \log (x)-2 x \log (x) \log (\log (x))) \log (\genfrac {}{}{}{}{e^x}{-x+\log (\log (x))})}{-x^3 \log (5) \log (x) \log ^2(2 x^2)+x^2 \log (5) \log (x) \log ^2(2 x^2) \log (\log (x))} \, dx\) [101]
\(\int \genfrac {}{}{}{}{-32 x+48 x^2+32 x^3-12 x^4-18 x^5-4 x^6+e^{e^x+x} (1+3 x+3 x^2+x^3)+e^{x^2} (-2 x-6 x^2-6 x^3-2 x^4)}{1+3 x+3 x^2+x^3} \, dx\) [102]
\(\int \genfrac {}{}{}{}{1-3 x^2+e^x (-x+x^3)}{-3 x+3 x^3+e^5 (x-x^3)+e^x (-x+x^3)+(-x+x^3) \log (-\genfrac {}{}{}{}{3}{-x+x^3})} \, dx\) [103]
\(\int \genfrac {}{}{}{}{12+e^{2 x}+e^x (-12-2 x)+x^2}{e^{2 x}-2 e^x x+x^2} \, dx\) [104]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-1-9 x^2+6 x^4-24 x^5+35 x^6-16 x^7-22 x^8+56 x^9-70 x^{10}+56 x^{11}-28 x^{12}+8 x^{13}-x^{14}+e^{4 x} (-45 x^2+9 x^3+30 x^4-126 x^5+199 x^6-115 x^7-94 x^8+302 x^9-406 x^{10}+350 x^{11}-196 x^{12}+68 x^{13}-13 x^{14}+x^{15})}{9 x^2-6 x^4+24 x^5-35 x^6+16 x^7+22 x^8-56 x^9+70 x^{10}-56 x^{11}+28 x^{12}-8 x^{13}+x^{14}}} (-6+6 x^2-32 x^3+60 x^4-48 x^5+14 x^6+e^{4 x} (513 x^3-108 x^4-513 x^5+2160 x^6-3339 x^7+1296 x^8+4112 x^9-10244 x^{10}+12684 x^{11}-7652 x^{12}-3481 x^{13}+14652 x^{14}-20265 x^{15}+18708 x^{16}-12573 x^{17}+6160 x^{18}-2134 x^{19}+492 x^{20}-67 x^{21}+4 x^{22}))}{-27 x^3+27 x^5-108 x^6+153 x^7-36 x^8-224 x^9+492 x^{10}-564 x^{11}+284 x^{12}+243 x^{13}-720 x^{14}+915 x^{15}-792 x^{16}+495 x^{17}-220 x^{18}+66 x^{19}-12 x^{20}+x^{21}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{2 x^2}{-x+x^3} \, dx\) [106]
\(\int \genfrac {}{}{}{}{25+36 x-72 x^2+6 x^3-48 x^4-6 x^6+(-18+36 x+18 x^3) \log (x)}{25 x} \, dx\) [107]
\(\int \genfrac {}{}{}{}{1+e^{e^{e^4}}+x^4-4 x^4 \log (x)}{x \log ^2(x)} \, dx\) [108]
\(\int \genfrac {}{}{}{}{-2 e^{e^{\genfrac {}{}{}{}{1}{4 x^8}}+\genfrac {}{}{}{}{1}{4 x^8}}+x^9}{x^9} \, dx\) [109]
\(\int \genfrac {}{}{}{}{4000-4000 x+e (960 x^2-320 x^3-400 x^4+160 x^5)+(-400 x+400 x^2+e (-16 x^4+16 x^5-4 x^6)) \log (4)+(10 x^2-10 x^3) \log ^2(4)}{1600 x^2-1600 x^3+400 x^4+(-160 x^3+160 x^4-40 x^5) \log (4)+(4 x^4-4 x^5+x^6) \log ^2(4)} \, dx\) [110]
\(\int \genfrac {}{}{}{}{-36 x+36 x^2+(3 x-3 x^2) \log (x)+(33 x-108 x^2+(-3 x+9 x^2) \log (x)) \log (2 x)+(-36 x+3 x \log (x)+(72 x-6 x \log (x)) \log (2 x)) \log (\genfrac {}{}{}{}{-12+\log (x)}{8 x})}{(-12+\log (x)) \log ^2(2 x)} \, dx\) [111]
\(\int \genfrac {}{}{}{}{-2 x+14 e^3 x-24 e^6 x+(-2 e^3+6 e^6) \log (5 e^x)}{x^2-8 e^3 x^2+e^6 (-3+16 x^2)+(2 e^3 x-8 e^6 x) \log (5 e^x)+e^6 \log ^2(5 e^x)} \, dx\) [112]
\(\int \genfrac {}{}{}{}{x^3+3 x^4+3 x^5+x^6+(-2-2 x) \log (x)+(2+4 x) \log ^2(x)}{x^3+3 x^4+3 x^5+x^6} \, dx\) [113]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{6+6 x-15 x^2-5 x^3}{3 x^2+x^3}} (-180-216 x-96 x^2-21 x^3-6 x^4-x^5)}{7875 x^3+8400 x^4+3290 x^5+560 x^6+35 x^7} \, dx\) [114]
\(\int \genfrac {}{}{}{}{8-4 x+3 x^3+x^3 \log (3 x^3)}{x^3 \log (4)} \, dx\) [115]
\(\int 4 e^{-8+\genfrac {}{}{}{}{4 (25 x-4 x^3-x^3 \log (4))}{e^8}} (25-12 x^2-3 x^2 \log (4)) \, dx\) [116]
\(\int \genfrac {}{}{}{}{3-x+e^x (-3-5 x-x^2+x^3) \log (16)+(-x+e^x (1+x^2) \log (16)) \log (x+e^x (-1-x^2) \log (16)) \log (\log (x+e^x (-1-x^2) \log (16)))}{(-x+e^x (1+x^2) \log (16)) \log (x+e^x (-1-x^2) \log (16))} \, dx\) [117]
\(\int \genfrac {}{}{}{}{-4+2 x-5 x^2}{2 x^2} \, dx\) [118]
\(\int (5+e^{e (-35-5 x)+e^x (-35-5 x)+7 x+x^2} (14+6 x+7 x^2+2 x^3+e (-10-5 x^2)+e^x (-80-10 x-40 x^2-5 x^3))) \, dx\) [119]
\(\int \genfrac {}{}{}{}{e^{-x} (e^x x^2+e^{10 e^{-x}} (-e^{x+\genfrac {}{}{}{}{1+2 x}{x}}-10 e^{\genfrac {}{}{}{}{1+2 x}{x}} x^2))}{x^2} \, dx\) [120]
\(\int \genfrac {}{}{}{}{900+1757 x+168 x^2+4 x^3}{450 x+43 x^2+x^3} \, dx\) [121]
\(\int \genfrac {}{}{}{}{-3+5 x^2+e^x (-x+4 x^2)+(x^2-e^x x^2) \log (x)}{4 x^2} \, dx\) [122]
\(\int \genfrac {}{}{}{}{38 e^x x-2 e^{2 x} x+2 x^2+(-76+4 e^x) \log (x)+2 e^x x \log ^2(x)-4 \log ^3(x)}{x} \, dx\) [123]
\(\int \genfrac {}{}{}{}{10+20 x+20 x^2+10 x^3+(5+10 x) \log (x^2)+e^{e^x} (2+4 x+4 x^2+2 x^3+(1+2 x+e^x (x+2 x^2+2 x^3+x^4)) \log (x^2))}{3+6 x+9 x^2+6 x^3+3 x^4} \, dx\) [124]
\(\int \genfrac {}{}{}{}{4+26 x+x^2+72 x^6-72 x^7+18 x^8}{4 x-4 x^2+x^3} \, dx\) [125]
\(\int \genfrac {}{}{}{}{2 e^{4+x}+e^{4+x} x \log (x^2)}{x} \, dx\) [126]
\(\int \genfrac {}{}{}{}{-1+(16+12 x-4 x^2+e^4 (8+6 x-2 x^2)) \log (4-x)+(-8-6 x+2 x^2) \log (4-x) \log (\log (4-x))}{(8+e^4 (4-x)-2 x) \log (4-x)+(-4+x) \log (4-x) \log (\log (4-x))} \, dx\) [127]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2}{5} (7-5 x+5 \log (\log (5)))} (-1-2 x)+e^{\genfrac {}{}{}{}{1}{5} (7-5 x+5 \log (\log (5)))} (2+2 x) \log (4)-\log ^2(4)}{x^2} \, dx\) [128]
\(\int \genfrac {}{}{}{}{2-2 x+2 e^{x^2} x \log (4)}{\log (4)} \, dx\) [129]
\(\int e^{-5 x+x^2} (-240-272 x+160 x^2+e^x (88+96 x-80 x^2)+e^{2 x} (-7-7 x+10 x^2)) \, dx\) [130]
\(\int \genfrac {}{}{}{}{1}{2} (30+9 x+e^x (108+66 x+9 x^2) \log (19)+e^{2 x} (54+45 x+9 x^2) \log ^2(19)) \, dx\) [131]
\(\int \genfrac {}{}{}{}{240-320 x^4+e^{2/3} (-5 x^2+20 x^6)}{-256 x+128 x^5-16 x^9+e^{2/3} (16 x^3-8 x^7+x^{11})+(-128 x+32 x^5+e^{2/3} (8 x^3-2 x^7)) \log (-\genfrac {}{}{}{}{x^3}{-16+e^{2/3} x^2})+(-16 x+e^{2/3} x^3) \log ^2(-\genfrac {}{}{}{}{x^3}{-16+e^{2/3} x^2})} \, dx\) [132]
\(\int \genfrac {}{}{}{}{6^{\genfrac {}{}{}{}{-1+15 x}{x^4}} (-x^4+(4-45 x) \log (6))}{x^6} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{e^6 x} \, dx\) [134]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-x-e^{2 x} x+\log (e^2 x)}{-4+x}} (-4+5 x+e^{2 x} (4 x+8 x^2-2 x^3)-x \log (e^2 x))}{16 x-8 x^2+x^3} \, dx\) [135]
\(\int \genfrac {}{}{}{}{15 e^{32}+40 e^{16} x+15 x^2+e^x (12 e^{32}+12 x^2+e^{16} (8+24 x))}{15 e^{32} x+30 e^{16} x^2+15 x^3+e^x (12 e^{32}+24 e^{16} x+12 x^2)} \, dx\) [136]
\(\int (-13824+4608 x+e^{4 x} (4320-3168 x+576 x^2)+e^{3 x} (24192-18432 x+3456 x^2)+e^x (13824-18432 x+4608 x^2)+e^{2 x} (41472-34560 x+6912 x^2)) \, dx\) [137]
\(\int \genfrac {}{}{}{}{-x+4 e^{60+4 x} x+16 x^2+64 x^4+e^{45+3 x} (8 x+24 x^2)+(4+16 x^2) \log (2)+e^{30+2 x} (4+48 x^2+48 x^3+4 x \log (2))+e^{15+x} (16 x+96 x^3+32 x^4+(8 x+8 x^2) \log (2))+(4+4 e^{30+2 x} x+16 x^2+e^{15+x} (8 x+8 x^2)) \log (3 x^2)}{e^{60+4 x} x-x^2+8 e^{45+3 x} x^2+16 x^5+8 x^3 \log (2)+x \log ^2(2)+e^{30+2 x} (24 x^3+2 x \log (2))+e^{15+x} (32 x^4+8 x^2 \log (2))+(2 e^{30+2 x} x+8 e^{15+x} x^2+8 x^3+2 x \log (2)) \log (3 x^2)+x \log ^2(3 x^2)} \, dx\) [138]
\(\int \genfrac {}{}{}{}{256 x^4-160 x^5-232 x^6+160 x^7-24 x^8+e^{e^2-x^2+2 x \log (\genfrac {}{}{}{}{1-x^2}{x})-\log ^2(\genfrac {}{}{}{}{1-x^2}{x})} (2 x+2 x^2+2 x^3-2 x^4+(-2-2 x-2 x^2+2 x^3) \log (\genfrac {}{}{}{}{1-x^2}{x}))}{-x+x^3} \, dx\) [139]
\(\int \genfrac {}{}{}{}{-837 x+e^x (-3-279 x-279 x^2) \log (3)+(-567 x+e^x (-189 x-189 x^2) \log (3)) \log (x)+(-96 x+e^x (-32 x-32 x^2) \log (3)) \log ^2(x)+(-279 e^x x \log (3)-189 e^x x \log (3) \log (x)-32 e^x x \log (3) \log ^2(x)) \log (\genfrac {}{}{}{}{93+32 \log (x)}{3+\log (x)})}{837 x+567 x \log (x)+96 x \log ^2(x)} \, dx\) [140]
\(\int (2 x+6 x^2+4 x^3+e^{\genfrac {}{}{}{}{8 (5 e^x-5 \log (x))}{x}} (-40 x^2+4 x^3+e^x (-40 x^2+40 x^3)+40 x^2 \log (x))+e^{\genfrac {}{}{}{}{4 (5 e^x-5 \log (x))}{x}} (40 x+34 x^2-8 x^3+e^x (40 x-40 x^3)+(-40 x-40 x^2) \log (x))) \, dx\) [141]
\(\int \genfrac {}{}{}{}{-240 e^4-120 e^2 x-15 x^2+e^{\genfrac {}{}{}{}{4+3 x+2 x^2}{4 e^2+x}} (-4 x^2+2 x^4+e^2 (12 x^2+16 x^3))}{16 e^4 x^2+8 e^2 x^3+x^4} \, dx\) [142]
\(\int \genfrac {}{}{}{}{e^{-5+(-2 x+x^2) \log (2)} (-6+6 x) \log (2)}{-20+3 e^{-5+(-2 x+x^2) \log (2)}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{-e+e^{\log ^2(\genfrac {}{}{}{}{3}{2})-2 \log (\genfrac {}{}{}{}{3}{2}) \log (3)+\log ^2(3)}-x-x^2+(e-e^{\log ^2(\genfrac {}{}{}{}{3}{2})-2 \log (\genfrac {}{}{}{}{3}{2}) \log (3)+\log ^2(3)}+2 x) \log (x)}{x^2-2 x \log (x)+\log ^2(x)} \, dx\) [144]
\(\int \genfrac {}{}{}{}{24 x+5^{8 x} (-2+8 x \log (5))+5^{4 x} (-8+6 x-24 x^2 \log (5))+(32-24 x+5^{4 x} (16-32 x \log (5))) \log (x)-32 \log ^2(x)}{x^3} \, dx\) [145]
\(\int -2 5^{2-x^2} x \log (5) \, dx\) [146]
\(\int \genfrac {}{}{}{}{1+e^{e^x+x} (5 x-e^{2 x} x+x^2+e^{9+x} (-2 x-e^x x)+e^x (2 x+x^2))}{x} \, dx\) [147]
\(\int \genfrac {}{}{}{}{-4 x-4 e^{4 x} x+(-2-2 e^{4 x}) \log (1+e^{4 x})+(2 x+6 e^{4 x} x) \log (x^2)}{(2 x^2+2 e^{4 x} x^2) \log (x^2)+(x+e^{4 x} x) \log (1+e^{4 x}) \log (x^2)} \, dx\) [148]
\(\int \genfrac {}{}{}{}{e^{8-x} (100+100 x+100 x^2)+e^5 (2 x^2+4 x^3)+e^{3 x} (100 e^{8-x} x^2+e^5 (-2 x^3-3 x^4))}{25 x^2} \, dx\) [149]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-5-x+2 x^2-x^3}{x}} (5+2 x^2-2 x^3)}{x^2} \, dx\) [150]
\(\int \genfrac {}{}{}{}{75-30 x-15 x^2+e^x (15+30 x+15 x^2)}{225+300 x+130 x^2+20 x^3+x^4+e^{2 x} (1+2 x+x^2)+e^x (-30-50 x-22 x^2-2 x^3)} \, dx\) [151]
\(\int \genfrac {}{}{}{}{29+4 x+2 x^2+e^{2 x} (2+4 x+2 x^2)}{1+2 x+x^2} \, dx\) [152]
\(\int \genfrac {}{}{}{}{40-100 x^2-4 e^{32} x^4+e^{16} (-16 x+40 x^3)}{25 x^2-10 e^{16} x^3+e^{32} x^4} \, dx\) [153]
\(\int \genfrac {}{}{}{}{-40+70 x+(10-20 x) \log (2 x)+e^{2 x^2+2 x \log (\genfrac {}{}{}{}{4}{x})} (-36+72 x+36 \log (\genfrac {}{}{}{}{4}{x})+(24-48 x-24 \log (\genfrac {}{}{}{}{4}{x})) \log (2 x)+(-4+8 x+4 \log (\genfrac {}{}{}{}{4}{x})) \log ^2(2 x))}{9-6 \log (2 x)+\log ^2(2 x)} \, dx\) [154]
\(\int \genfrac {}{}{}{}{e^{-2 e^{\genfrac {}{}{}{}{e^5}{e^x-x^2}}-2 x+e^{-2 e^{\genfrac {}{}{}{}{e^5}{e^x-x^2}}-2 x} x} (e^{2 x} (1-2 x)+x^4-2 x^5+e^{\genfrac {}{}{}{}{e^5}{e^x-x^2}} (2 e^{5+x} x-4 e^5 x^2)+e^x (-2 x^2+4 x^3))}{e^{2 x}-2 e^x x^2+x^4} \, dx\) [155]
\(\int \genfrac {}{}{}{}{131250 x^6-46875 x^8+e^{-5+x} (13125 x^6-3750 x^7)}{432000+432 e^{-15+3 x}-1080000 x^2+900000 x^4-250000 x^6+e^{-10+2 x} (12960-10800 x^2)+e^{-5+x} (129600-216000 x^2+90000 x^4)} \, dx\) [156]
\(\int \genfrac {}{}{}{}{150-30 e-225 x}{100 x^3+4 e^2 x^3-200 x^4+100 x^5+e (-40 x^3+40 x^4)} \, dx\) [157]
\(\int \genfrac {}{}{}{}{45 x^4-27 x^5+(180 x^3-144 x^4+27 x^5) \log (-2+x)}{(2000-4600 x+3960 x^2-1512 x^3+216 x^4) \log ^3(-2+x)} \, dx\) [158]
\(\int \genfrac {}{}{}{}{-156+52 x+(60-20 x) \log (25)+(-156+60 \log (25)) \log (x)}{-162+108 x-18 x^2+(45-30 x+5 x^2) \log (25)} \, dx\) [159]
\(\int \genfrac {}{}{}{}{-15-12 x+3 x^2+e^4 (-4-2 x^2+10 x^3-2 x^4)+(-3+e^4 (-2 x+2 x^2)) \log (3+e^4 (2 x-2 x^2))}{-12+12 x-3 x^2+e^4 (-8 x+16 x^2-10 x^3+2 x^4)} \, dx\) [160]
\(\int \genfrac {}{}{}{}{-6 e^{2 x^2-2 x^3+2 (x-x^2) \log (x)} x^2+e^{x^2-x^3+(x-x^2) \log (x)} ((1+5 x+3 x^2-x^3-6 x^4) \log (\genfrac {}{}{}{}{21}{5})+(x-4 x^3) \log (\genfrac {}{}{}{}{21}{5}) \log (x))}{18 e^{2 x^2-2 x^3+2 (x-x^2) \log (x)} x^2-12 e^{x^2-x^3+(x-x^2) \log (x)} x \log (\genfrac {}{}{}{}{21}{5})+2 \log ^2(\genfrac {}{}{}{}{21}{5})} \, dx\) [161]
\(\int e^{-e^4} (3 x^2+e^{e^4} (6 x-2 x \log (2)+2 x \log ^2(2))) \, dx\) [162]
\(\int \genfrac {}{}{}{}{2500 e^{10}-4 x^2}{x^4+e^{20} (390625+1250 x+x^2)+e^{10} (1250 x^2+2 x^3)} \, dx\) [163]
\(\int \genfrac {}{}{}{}{-10+e^x (5-3 x)+x}{-4 x+2 e^x x} \, dx\) [164]
\(\int \genfrac {}{}{}{}{-8+(-x-2 x^2) \log (\genfrac {}{}{}{}{1}{2} (4 x^2-x^2 \log (3))) \log ^2(\log (\genfrac {}{}{}{}{1}{2} (4 x^2-x^2 \log (3))))}{16 x \log (\genfrac {}{}{}{}{1}{2} (4 x^2-x^2 \log (3)))+(-8 x-8 x^2-8 x^3) \log (\genfrac {}{}{}{}{1}{2} (4 x^2-x^2 \log (3))) \log (\log (\genfrac {}{}{}{}{1}{2} (4 x^2-x^2 \log (3))))+(x+2 x^2+3 x^3+2 x^4+x^5) \log (\genfrac {}{}{}{}{1}{2} (4 x^2-x^2 \log (3))) \log ^2(\log (\genfrac {}{}{}{}{1}{2} (4 x^2-x^2 \log (3))))} \, dx\) [165]
\(\int \genfrac {}{}{}{}{-1-x^2-2 x^3}{x+e^5 x^2-x^3-x^4} \, dx\) [166]
\(\int \genfrac {}{}{}{}{1+75 x^2+5 x^3-5 x^4+e^x (15 x^2+6 x^3-2 x^4)+(-75 x^2+20 x^3+e^x (-15 x^2-x^3+x^4)) \log (\genfrac {}{}{}{}{e^x}{2})}{1+50 x^3-10 x^4+625 x^6-250 x^7+25 x^8+e^{2 x} (25 x^6-10 x^7+x^8)+e^x (10 x^3-2 x^4+250 x^6-100 x^7+10 x^8)} \, dx\) [167]
\(\int e^{e^{e^x}+e^{e^{e^{e^x}-5 x+6 x^2}}+e^{e^{e^x}-5 x+6 x^2}-5 x+6 x^2} (-5+e^{e^x+x}+12 x) \, dx\) [168]
\(\int e^{5+6 x^3} (-1-18 x^3) \, dx\) [169]
\(\int \genfrac {}{}{}{}{e^3 (4+8 \log (2+e^5)+4 \log ^2(2+e^5))}{(\genfrac {}{}{}{}{e^9}{x^5}-\genfrac {}{}{}{}{3 e^6}{x^3}+\genfrac {}{}{}{}{3 e^3}{x}-x) x^2} \, dx\) [170]
\(\int \genfrac {}{}{}{}{x-x^3+(-2 x+4 x^3) \log (x)+2 x \log ^2(x)+20 \log ^2(x) \log (\log (2))}{\log ^2(x)} \, dx\) [171]
\(\int \genfrac {}{}{}{}{\log (5 e^{-2 x^3-5 x^2 \log (\log (12 x^2))}) (-20 x-12 x^2 \log (12 x^2)-20 x \log (12 x^2) \log (\log (12 x^2)))}{\log (12 x^2)} \, dx\) [172]
\(\int \genfrac {}{}{}{}{1+3 x}{x} \, dx\) [173]
\(\int e^{-16+e^{-16-4 x^2} (-1+x)-4 x^2} (-1-8 x+8 x^2) \, dx\) [174]
\(\int \genfrac {}{}{}{}{1+2 x^3+3 x^3 \log (x)}{x^4+(x+x^4) \log (x)+x \log ^2(x)} \, dx\) [175]
\(\int \genfrac {}{}{}{}{6+4^{4 x+x^2} (-48-24 x) \log (4)}{484+4^{1+8 x+2 x^2}+4^{4 x+x^2} (88-4 x)-44 x+x^2} \, dx\) [176]
\(\int \genfrac {}{}{}{}{e^{-2+\genfrac {}{}{}{}{16}{x^2 \log ^2(x)}} (-32-32 \log (x))}{x^3 \log ^3(x)} \, dx\) [177]
\(\int \genfrac {}{}{}{}{30 x^2-20 x^5-3 x^6+e^x (3 x^2-3 x^3-2 x^5-x^6)+(48 x-8 x^4) \log (2)+9 \log ^2(2)}{x^4} \, dx\) [178]
\(\int \genfrac {}{}{}{}{-6 x+2 x \log (3)}{e^4+e^{e^5}} \, dx\) [179]
\(\int e^{x^2} x \, dx\) [180]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-36+36 e x-x^4-x^3 \log (e^e-x)}{-x^2+e x^3}} (72 x+72 e^2 x^3-x^4-2 x^5+e (-144 x^2+x^5+x^6)+e^e (-72-72 e^2 x^2+2 x^4+e (144 x-x^5))+(e^e x^3-x^4) \log (e^e-x))}{-x^4+2 e x^5-e^2 x^6+e^e (x^3-2 e x^4+e^2 x^5)} \, dx\) [181]
\(\int \genfrac {}{}{}{}{e^x (-9 x^3-3 x^4)+(-3 x^4+e^x (36 x^3+21 x^4+3 x^5)) \log (x)+(18 x^2+6 x^3) \log ^2(x)+(9 x^3+3 x^4+(-36 x^3-12 x^4) \log (x)) \log (3+x)}{(3+x) \log ^2(x)} \, dx\) [182]
\(\int \genfrac {}{}{}{}{-80-800 x-3320 x^2-7400 x^3-9605 x^4-7360 x^5-3320 x^6-800 x^7-80 x^8+(400+3200 x+9960 x^2+14800 x^3+9605 x^4-3320 x^6-1600 x^7-240 x^8) \log (x)}{x^6} \, dx\) [183]
\(\int \genfrac {}{}{}{}{e^{-2 x^2} (4-2 x+(-2-x+8 x^2-4 x^3) \log (x^2) \log (\log (x^2)))}{(-32+48 x-24 x^2+4 x^3) \log (x^2) \log ^2(\log (x^2))} \, dx\) [184]
\(\int \genfrac {}{}{}{}{-46-117 x-72 x^2-2 x^3+(-46-46 x-x^2) \log (x)}{529+46 x+x^2} \, dx\) [185]
\(\int \genfrac {}{}{}{}{10+5 e^{4-x} x^2}{4 x^2+e^2 x^2} \, dx\) [186]
\(\int \genfrac {}{}{}{}{4 \log (5)+e^x (16-16 x) \log ^2(5)+(1088+64 x^2) \log ^2(5)}{1+(544-8 x-32 x^2) \log (5)+16 e^{2 x} \log ^2(5)+(73984-2176 x-8688 x^2+128 x^3+256 x^4) \log ^2(5)+e^x (8 \log (5)+(2176-32 x-128 x^2) \log ^2(5))} \, dx\) [187]
\(\int \genfrac {}{}{}{}{16 x^2+32 x^3+24 x^4+(32 x^2+32 x^3) \log (4)+(-16+8 x^2) \log ^2(4)+e^x (8 x^2+8 x^3+16 x^2 \log (4)+(-8+8 x) \log ^2(4))}{x^2} \, dx\) [188]
\(\int -\genfrac {}{}{}{}{40 e^{e^{\genfrac {}{}{}{}{5}{4 \log ^2(x^2)}}+\genfrac {}{}{}{}{5}{4 \log ^2(x^2)}}}{x \log ^3(x^2)} \, dx\) [189]
\(\int \genfrac {}{}{}{}{e^{33-3 e^5+3 e^x+96 x^2} (1+(3 e^x x+192 x^2) \log (x))}{x} \, dx\) [190]
\(\int \genfrac {}{}{}{}{4+e^4+x+(1+e^9 (-4-e^4-x)) \log (\genfrac {}{}{}{}{e^x}{4}) \log (\log (\genfrac {}{}{}{}{e^x}{4}))}{e^9 (-4 x-e^4 x-x^2) \log (\genfrac {}{}{}{}{e^x}{4}) \log (\log (\genfrac {}{}{}{}{e^x}{4}))+(4+e^4+x) \log (\genfrac {}{}{}{}{e^x}{4}) \log (\log (\genfrac {}{}{}{}{e^x}{4})) \log ((4+e^4+x) \log (\log (\genfrac {}{}{}{}{e^x}{4})))} \, dx\) [191]
\(\int (16+3 x+6 x^2+x^3+(-2 x-3 x^2) \log (e^{-x} x)) \, dx\) [192]
\(\int \genfrac {}{}{}{}{e^{-e^x} (-4 \log (\genfrac {}{}{}{}{7}{2})-4 e^x x \log (\genfrac {}{}{}{}{7}{2})+e^{4 x} (16 \log (\genfrac {}{}{}{}{7}{2})+4 e^x \log (\genfrac {}{}{}{}{7}{2})))}{e^{8 x}-2 e^{4 x} x+x^2} \, dx\) [193]
\(\int \genfrac {}{}{}{}{e^{3 x} (2500 x^3-4375 x^4)+e^{1+x} (2500 x^3+625 x^4)}{16 e^5+16 e^{10 x}+80 e^{4+2 x}+160 e^{3+4 x}+160 e^{2+6 x}+80 e^{1+8 x}} \, dx\) [194]
\(\int \genfrac {}{}{}{}{400+\log (18)}{x^2} \, dx\) [195]
\(\int \genfrac {}{}{}{}{1}{4} e^{-x} (4 e^{2 x}+e^x (10 x-x^3)+(2 x+e^x (20 x-4 x^3)) \log (x)+(2 x-x^2) \log ^2(x)) \, dx\) [196]
\(\int \genfrac {}{}{}{}{(-3-3 \log (x)) \log (\genfrac {}{}{}{}{3+16 x \log (-2+e^5) \log (x)}{4 x \log (-2+e^5) \log (x)})}{6 x \log (x)+32 x^2 \log (-2+e^5) \log ^2(x)} \, dx\) [197]
\(\int \genfrac {}{}{}{}{-6885-1701 x+1593 x^2-867 x^3-84 x^4+216 x^5+2 x^6+14 x^7+6 x^8+(864 x^2-96 x^3-182 x^4+6 x^5-34 x^6-10 x^7) \log (2)+(18 x^5+4 x^6) \log ^2(2)}{(6777-108 x-2034 x^2+116 x^3-84 x^4-69 x^5+39 x^6+5 x^7+x^8+x^9+(288 x^3+48 x^4-46 x^5-4 x^6-4 x^7-2 x^8) \log (2)+(3 x^6+x^7) \log ^2(2)) \log (\genfrac {}{}{}{}{2259-789 x-415 x^2+177 x^3-87 x^4+6 x^5+11 x^6-2 x^7+x^8+(96 x^3-16 x^4-10 x^5+2 x^6-2 x^7) \log (2)+x^6 \log ^2(2)}{9+6 x+x^2})} \, dx\) [198]
\(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{e^{4-2 e^x} (2 x+(2-2 x^2) \log (4)+e^x (2 x^2+(2 x-2 x^3) \log (4)))}{x^2}+(-2 x+4 x^2 \log (4)) \log (-x+(-1+x^2) \log (4))+\genfrac {}{}{}{}{e^{2-e^x} (2 x-4 x^2 \log (4)+(-2 x+(-2+2 x^2) \log (4)+e^x (-2 x^2+(-2 x+2 x^3) \log (4))) \log (-x+(-1+x^2) \log (4)))}{x}}{-9 x^2+(-9 x+9 x^3) \log (4)} \, dx\) [199]
\(\int \genfrac {}{}{}{}{-1+5 x^2}{x^2} \, dx\) [200]