3.3 Integrals 201 to 300

  3.3.1 \(\int (-1+e^x) \, dx\)
  3.3.2 \(\int \frac {-100-320 x+2 x^3+e^x (25 x+160 x^2+256 x^3+x^4)}{25 x+160 x^2+256 x^3+x^4} \, dx\)
  3.3.3 \(\int \frac {-4-3 x+(7+7 x) \log (x)+(-4-4 x) \log ^2(x)}{5 e^x x^2-10 e^x x^2 \log (x)+5 e^x x^2 \log ^2(x)} \, dx\)
  3.3.4 \(\int \frac {3 x^2+x^3+e^5 (4+4 x-2 x^2+2 x^3+3 x^4-x^5)}{-4 x^2-x^3+e^5 (-4 x-2 x^3+x^5)} \, dx\)
  3.3.5 \(\int \frac {-33750 x^2-101250 x^3+379586250 x^4-33750 x^5+(6+30 x-67440 x^2-134940 x^3-67470 x^4+6 x^5) \log (x)}{x+5 x^2+10 x^3+10 x^4+5 x^5+x^6} \, dx\)
  3.3.6 \(\int -\frac {15 e^2}{1550-620 e x+62 e^2 x^2} \, dx\)
  3.3.7 \(\int \frac {-663552 x-921600 x^2-467456 x^3-102400 x^4-8192 x^5+(664704 x+1383200 x^2+935040 x^3+256000 x^4+24576 x^5+(1152+800 x+128 x^2) \log (5)) \log (x)+(-2304 x-2400 x^2-512 x^3+(-1152-1600 x-384 x^2) \log (5)) \log ^2(x)+(2 x+2 \log (5)) \log ^3(x)}{\log ^3(x)} \, dx\)
  3.3.8 \(\int \frac {-128+6 x^2-2 x^3}{4-4 x+x^2} \, dx\)
  3.3.9 \(\int \frac {-2 e^3 x^2+e^{3+\frac {1}{4} (4 e+x^2)} (-882-84 x+439 x^2+42 x^3+x^4)}{882 x^2+84 x^3+2 x^4} \, dx\)
  3.3.10 \(\int \frac {15-6 x^2}{350+155 x+297 x^2+62 x^3+56 x^4} \, dx\)
  3.3.11 \(\int \frac {3-3 x+(-12+3 x-3 \log (x)) \log (4-x+\log (x))+(64+e^2 (32-8 x)+e^4 (4-x)-16 x+(16+8 e^2+e^4) \log (x)) \log ^2(4-x+\log (x))}{(-12 x+3 x^2-3 x \log (x)) \log (4-x+\log (x))+(64 x-16 x^2+e^2 (32 x-8 x^2)+e^4 (4 x-x^2)+(16 x+8 e^2 x+e^4 x) \log (x)) \log ^2(4-x+\log (x))} \, dx\)
  3.3.12 \(\int \frac {10+e^2 (2-2 x)-10 x+x^2-x^3-2 x^4+2 x^3 \log (x)}{-5 x-e^2 x-x^4+x^3 \log (x)} \, dx\)
  3.3.13 \(\int \frac {e^x (-117-9 x)+e^x (-117+117 x+9 x^2) \log (x)-9 x \log ^2(x)}{x^2 \log ^2(x)} \, dx\)
  3.3.14 \(\int \frac {e^{\frac {2}{3} (5 e^{9+6 x+x^2}-3 x-3 x^2 \log (e^2+2 x))} (-6 e^2-12 x-12 x^2+e^{9+6 x+x^2} (120 x+40 x^2+e^2 (60+20 x))+(-12 e^2 x-24 x^2) \log (e^2+2 x))}{3 e^2+6 x} \, dx\)
  3.3.15 \(\int \frac {e^{\frac {30 e^3-30 x+x^2 \log (x)}{2 \log (x)}} (-15 e^3+15 x-15 x \log (x)+x^2 \log ^2(x))}{x \log ^2(x)} \, dx\)
  3.3.16 \(\int -\frac {4}{-4 x+3 x^2} \, dx\)
  3.3.17 \(\int (-1+2 e^{2 x}+4 \log (4 e^9)) \, dx\)
  3.3.18 \(\int \frac {5+e (-1-2 x)+10 x+e^{e^x} (1+2 x+e^x (3-x-x^2))}{25-10 e+e^2+(10-2 e) e^{e^x}+e^{2 e^x}} \, dx\)
  3.3.19 \(\int \frac {-5-5 e^2-x^2-12 x^3}{10 x^2} \, dx\)
  3.3.20 \(\int \frac {e^{e^{8 e^x}+2 e^{4 e^x} \log (\log (\frac {4-2 x-e^x x}{x}))+\log ^2(\log (\frac {4-2 x-e^x x}{x}))} x (e^{4 e^x} (8+2 e^x x^2)+(-4+2 x+e^x x+e^{8 e^x} (8 e^{2 x} x^2+e^x (-32 x+16 x^2))) \log (\frac {4-2 x-e^x x}{x})+(8+2 e^x x^2+e^{4 e^x} (8 e^{2 x} x^2+e^x (-32 x+16 x^2)) \log (\frac {4-2 x-e^x x}{x})) \log (\log (\frac {4-2 x-e^x x}{x})))}{(-4 x+2 x^2+e^x x^2) \log (\frac {4-2 x-e^x x}{x})} \, dx\)
  3.3.21 \(\int \frac {e^{2 e^8+2 x+8 e^4 x+8 x^2+2 (2 e^4+4 x) \log (1-x+x^2)+2 \log ^2(1-x+x^2)} (-18+36 x+36 x^2+18 x^3+144 x^4+e^4 (36 x+72 x^3)+(36 x+72 x^3) \log (1-x+x^2))}{x^3-x^4+x^5} \, dx\)
  3.3.22 \(\int \frac {-2 x+2 \log (x)+(x-\log (x)) \log (2 x^2)+(1-x) \log (2 x^2) \log (\frac {x}{\log (2 x^2)})}{(x^3-2 x^2 \log (x)+x \log ^2(x)) \log (2 x^2)} \, dx\)
  3.3.23 \(\int \frac {80-14552 x^2-1280 x^3-5691 x^4-160 x^5-672 x^6+e^4 (768 x^2+384 x^4+48 x^6)}{80+40 x^2+5 x^4} \, dx\)
  3.3.24 \(\int \frac {-1-2 x^2-x^5-2 x^3 \log (x)-x \log ^2(x)}{x^5+2 x^3 \log (x)+x \log ^2(x)} \, dx\)
  3.3.25 \(\int \frac {e^x (2-x)+8 x^2-7 x^3}{4 x^3} \, dx\)
  3.3.26 \(\int \frac {1088-8 x-48 x^2-194 x^3+48 x^4-3 x^5}{-544 x+4 x^2-1064 x^3+6 x^4+48 x^5-4 x^6+(816 x^3-6 x^4-36 x^5+3 x^6) \log (\frac {-32+4 x}{-34-4 x+x^2})} \, dx\)
  3.3.27 \(\int \frac {1}{4 x} \, dx\)
  3.3.28 \(\int \frac {e^{2 e^x-2 i \pi } (-4+8 e^x x)}{x^2 \log ^2(5)} \, dx\)
  3.3.29 \(\int -\frac {5}{5+\frac {e^x}{5}} \, dx\)
  3.3.30 \(\int \frac {-100+210 x-30 x^2+e^2 (20 x^2-24 x^3+4 x^4)}{e^2 (5 x-6 x^2+x^3)} \, dx\)
  3.3.31 \(\int \frac {-9-63 x+x^2+7 x^3+(84 x^3-28 x^4) \log (1+7 x)+(6 x^2+38 x^3-28 x^4) \log ^2(1+7 x)+28 x^5 \log ^3(1+7 x)+(3 x^4+21 x^5) \log ^4(1+7 x)}{x^2+7 x^3} \, dx\)
  3.3.32 \(\int \frac {e^{5+e^x+x} (2-\log (\frac {\log ^2(-2+x)}{x^2})) (2 x+(8-2 x^2+e^x (4 x-2 x^2)) \log (-2+x)+(-2-x+x^2+e^x (-2 x+x^2)) \log (-2+x) \log (\frac {\log ^2(-2+x)}{x^2}))}{(4-2 x) \log (-2+x)+(-2+x) \log (-2+x) \log (\frac {\log ^2(-2+x)}{x^2})} \, dx\)
  3.3.33 \(\int \frac {-10+x^2+e^x (2-2 x+x^2)-2 \log (3)}{x^2} \, dx\)
  3.3.34 \(\int \frac {1}{9} (17-9 e^x) \, dx\)
  3.3.35 \(\int \frac {10 x^5-e^x x^5+e^{e^x} (\frac {1}{x})^{\frac {e^{e^x}}{x^4}} (1+(4-e^x x) \log (\frac {1}{x}))}{x^5} \, dx\)
  3.3.36 \(\int \frac {2 \log (x)+\log ^2(x)+e^{-2-x} \log (x) (-2+(-1+2 x) \log (x))}{-x \log ^2(x)+e^{-2-x} x \log ^2(x)} \, dx\)
  3.3.37 \(\int 2 e^{x^2} x \, dx\)
  3.3.38 \(\int \frac {1568 x-5040 x^2+4048 x^3-600 x^4+24 x^5+e^4 (2+2 x)+e^2 (-56+8 x+168 x^2-16 x^3)}{e^4} \, dx\)
  3.3.39 \(\int \frac {10+8 x-2 x^2-2 x \log (5)+(16 x-2 x^2-4 x \log (5)) \log (x)}{-20+5 x+5 \log (5)+(-4 x^2+x^3+x^2 \log (5)) \log (x)} \, dx\)
  3.3.40 \(\int \frac {e^{5 e^{9-6 x+x^2+(6-2 x) \log ^2(-2+x)+\log ^4(-2+x)}+5 x^2} (2-x-20 x^2+10 x^3+e^{9-6 x+x^2+(6-2 x) \log ^2(-2+x)+\log ^4(-2+x)} (60 x-50 x^2+10 x^3+(60 x-20 x^2) \log (-2+x)+(20 x-10 x^2) \log ^2(-2+x)+20 x \log ^3(-2+x)))}{-2 x^2+x^3} \, dx\)
  3.3.41 \(\int \frac {e^{-x} (-x-x^2-5 x \log ^2(3)+(2 x+2 x^2-x^3+(10 x-5 x^2) \log ^2(3)) \log (x)+(1-x-x^2+(-5-5 x) \log ^2(3)) \log ^2(x))}{\log ^2(x)} \, dx\)
  3.3.42 \(\int \frac {(37500-15036 x-2484 x^2+4 x^3+(30000-15048 x+24 x^2) \log (625-x)) \log (\frac {-30 x^2+10 x^3}{5+x+4 \log (625-x)})}{9375 x-1265 x^2-623 x^3+x^4+(7500 x-2512 x^2+4 x^3) \log (625-x)} \, dx\)
  3.3.43 \(\int (-e^e+e^5 (-1-2 x)) \, dx\)
  3.3.44 \(\int \frac {-3 \log (3)-3 \log (3) \log (x)+(-x+x^2) \log ^2(x)}{x^2 \log ^2(x)} \, dx\)
  3.3.45 \(\int \frac {-192+56 x-64 (i \pi +\log (3))+(-96+30 x-32 (i \pi +\log (3))) \log (3+i \pi -x+\log (3))+(-12+4 x-4 (i \pi +\log (3))) \log ^2(3+i \pi -x+\log (3))}{3 x^5-x^6+x^5 (i \pi +\log (3))} \, dx\)
  3.3.46 \(\int \frac {1}{3} e^{\frac {1}{3} (15-52 x+9 x^2-5 x^3+e^3 (-21+15 x))} (-52+15 e^3+18 x-15 x^2) \, dx\)
  3.3.47 \(\int \frac {e^{\frac {1089+132 x+e x-194 x^2-12 x^3+9 x^4}{x}} (-39204-6984 x^2-864 x^3+972 x^4)}{x^2} \, dx\)
  3.3.48 \(\int \frac {-45-80 x^4+e^{2 x} (-9-16 x^4+32 x^5)}{80 x^5+16 e^{2 x} x^5} \, dx\)
  3.3.49 \(\int \frac {-15 x^2 \log (4)+45 x^2 \log (4) \log (x)+4 \log ^2(x)}{5 \log ^2(x)} \, dx\)
  3.3.50 \(\int \frac {4 x+e^x (3-4 x+3 x^2)+e^x (3 x+6 x^2+3 x^3) \log (x)}{4 x} \, dx\)
  3.3.51 \(\int \frac {-3-x+21 x^2+84 x^3+63 x^4}{5 x^2} \, dx\)
  3.3.52 \(\int \frac {20+4 x}{6 x^2+e^x x^2+x^3+(-12 x-2 e^x x-2 x^2) \log (30+5 e^x+5 x)+(6+e^x+x) \log ^2(30+5 e^x+5 x)} \, dx\)
  3.3.53 \(\int \frac {409600+e^x (-384000-15360 x)+16384 x+e^{3 x} (-12500-16500 x-640 x^2)+e^{2 x} (120000+56000 x+49152 x^2+2048 x^3)+(2457600+e^x (-1536000-61440 x)+98304 x+e^{2 x} (240000+112000 x+100352 x^2+4096 x^3)) \log (\frac {25+x}{5})+(6758400+e^x (-2688000-107520 x)+270336 x+e^{2 x} (180000+84000 x+76800 x^2+3072 x^3)) \log ^2(\frac {25+x}{5})+(11264000+e^x (-2688000-107520 x)+450560 x+e^{2 x} (60000+28000 x+26112 x^2+1024 x^3)) \log ^3(\frac {25+x}{5})+(12672000+e^x (-1680000-67200 x)+506880 x+e^{2 x} (7500+3500 x+3328 x^2+128 x^3)) \log ^4(\frac {25+x}{5})+(10137600+e^x (-672000-26880 x)+405504 x) \log ^5(\frac {25+x}{5})+(5913600+e^x (-168000-6720 x)+236544 x) \log ^6(\frac {25+x}{5})+(2534400+e^x (-24000-960 x)+101376 x) \log ^7(\frac {25+x}{5})+(792000+e^x (-1500-60 x)+31680 x) \log ^8(\frac {25+x}{5})+(176000+7040 x) \log ^9(\frac {25+x}{5})+(26400+1056 x) \log ^{10}(\frac {25+x}{5})+(2400+96 x) \log ^{11}(\frac {25+x}{5})+(100+4 x) \log ^{12}(\frac {25+x}{5})}{102400+e^x (-96000-3840 x)+e^{3 x} (-3125-125 x)+4096 x+e^{2 x} (30000+1200 x)+(614400+e^x (-384000-15360 x)+24576 x+e^{2 x} (60000+2400 x)) \log (\frac {25+x}{5})+(1689600+e^x (-672000-26880 x)+67584 x+e^{2 x} (45000+1800 x)) \log ^2(\frac {25+x}{5})+(2816000+e^x (-672000-26880 x)+112640 x+e^{2 x} (15000+600 x)) \log ^3(\frac {25+x}{5})+(3168000+e^x (-420000-16800 x)+126720 x+e^{2 x} (1875+75 x)) \log ^4(\frac {25+x}{5})+(2534400+e^x (-168000-6720 x)+101376 x) \log ^5(\frac {25+x}{5})+(1478400+e^x (-42000-1680 x)+59136 x) \log ^6(\frac {25+x}{5})+(633600+e^x (-6000-240 x)+25344 x) \log ^7(\frac {25+x}{5})+(198000+e^x (-375-15 x)+7920 x) \log ^8(\frac {25+x}{5})+(44000+1760 x) \log ^9(\frac {25+x}{5})+(6600+264 x) \log ^{10}(\frac {25+x}{5})+(600+24 x) \log ^{11}(\frac {25+x}{5})+(25+x) \log ^{12}(\frac {25+x}{5})} \, dx\)
  3.3.54 \(\int (e^{2 e^x+8 x+2 e^x x-2 x \log (x^2 \log (2))} (4+e^x (4+2 x)-2 \log (x^2 \log (2)))+e^{e^x+4 x+e^x x-x \log (x^2 \log (2))} (-4 \log (3)+e^x (-4-2 x) \log (3)+2 \log (3) \log (x^2 \log (2)))) \, dx\)
  3.3.55 \(\int \frac {3750 x+300 x^2+6 x^3+(4000 x^2+300 x^3+6 x^4) \log (x)+((4000 x^2+310 x^3+6 x^4) \log (x)+(3750 x+300 x^2+6 x^3) \log (x) \log (\log (x))) \log (\frac {6400 x^2+480 x^3+9 x^4+(12000 x+930 x^2+18 x^3) \log (\log (x))+(5625+450 x+9 x^2) \log ^2(\log (x))}{5625+450 x+9 x^2})}{(2000 x+155 x^2+3 x^3) \log (x)+(1875+150 x+3 x^2) \log (x) \log (\log (x))} \, dx\)
  3.3.56 \(\int \frac {x^3 \log (2)+(18 x^2-3 x^3) \log (2) \log (6-x)+(12 x-2 x^2+(-12+2 x) \log (2)) \log ^2(6-x)}{(6 x^3-x^4) \log (2) \log (6-x)+(6 x^2-x^3+(6-13 x+2 x^2) \log (2)) \log ^2(6-x)} \, dx\)
  3.3.57 \(\int \frac {1}{9} e^{-2 x} (e^{2 x} (1024+256 x)+e^{2+x} (1024-320 x^2-64 x^3)+e^4 (256 x-64 x^2-96 x^3-16 x^4)) \, dx\)
  3.3.58 \(\int \frac {e^{\frac {1}{x+10 \log (25)+\log (\frac {\log (4)}{-16+x})}} (17-x)}{-16 x^2+x^3+(-320 x+20 x^2) \log (25)+(-1600+100 x) \log ^2(25)+(-32 x+2 x^2+(-320+20 x) \log (25)) \log (\frac {\log (4)}{-16+x})+(-16+x) \log ^2(\frac {\log (4)}{-16+x})} \, dx\)
  3.3.59 \(\int \frac {x^2 \log (8+e)-\log (8+e) \log (\frac {\log (4)}{x})}{x^2} \, dx\)
  3.3.60 \(\int \frac {-20-275 x^2+120 x^3-638 x^4+500 x^5-150 x^6+20 x^7-x^8+e^{4 x} (-625+500 x-150 x^2+20 x^3-x^4)+e^{3 x} (2500 x-2000 x^2+600 x^3-80 x^4+4 x^5)+e^{2 x} (-225+50 x-3741 x^2+2998 x^3-900 x^4+120 x^5-6 x^6)+e^x (500 x-170 x^2+2504 x^3-1998 x^4+600 x^5-80 x^6+4 x^7)}{25+250 x^2-100 x^3+635 x^4-500 x^5+150 x^6-20 x^7+x^8+e^{4 x} (625-500 x+150 x^2-20 x^3+x^4)+e^{3 x} (-2500 x+2000 x^2-600 x^3+80 x^4-4 x^5)+e^{2 x} (250-100 x+3760 x^2-3000 x^3+900 x^4-120 x^5+6 x^6)+e^x (-500 x+200 x^2-2520 x^3+2000 x^4-600 x^5+80 x^6-4 x^7)} \, dx\)
  3.3.61 \(\int \frac {(2 x-x^2-x^3) \log (-2-x) \log (1-x)+\frac {e^{-x} \log (-2-x) ((-2 x-x^2) \log (-2-x)+(-x+x^2+(2+x-2 x^2-x^3) \log (-2-x)) \log (1-x))}{x \log (1-x)}}{(-2 x+x^2+x^3) \log (-2-x) \log (1-x)} \, dx\)
  3.3.62 \(\int \frac {-1080 e^4+(25+10 x+x^2) \log (2)}{25+10 x+x^2} \, dx\)
  3.3.63 \(\int \frac {325 x^2+(8-75 x^2) \log (x)+3 \log ^2(x)-\log ^3(x)}{-100 x^3+25 x^3 \log (x)-4 x \log ^2(x)+x \log ^3(x)} \, dx\)
  3.3.64 \(\int \frac {3 x+4 x^2+x^3+(64 x+32 x^2) \log ^2(x) \log ^3(3+4 x+x^2)+(24+32 x+8 x^2) \log (x) \log ^4(3+4 x+x^2)}{3 x+4 x^2+x^3} \, dx\)
  3.3.65 \(\int \frac {x^2+e^{e^2} (e^{-2+x} (-1+x)+5 x^2)}{x^2} \, dx\)
  3.3.66 \(\int \frac {e^5-15 x-\log (5)+x \log (x)}{x} \, dx\)
  3.3.67 \(\int \frac {4-2 \log (5)+e^{2 x} (4+4 x+(1-2 x) \log (5))}{216+288 x+96 x^2+(-144 x-96 x^2) \log (5)+24 x^2 \log ^2(5)} \, dx\)
  3.3.68 \(\int \frac {-x+8 e^x x-16 e^{2 x} x+(x-8 e^x x+16 e^{2 x} x) \log (x)+(e^x-4 e^{2 x}) \log ^2(x)+e^x x \log ^3(x)}{(x-8 e^x x+16 e^{2 x} x) \log ^2(x)} \, dx\)
  3.3.69 \(\int \frac {-2+2 x+x^2+e^{10+5 x} (-5-10 x-5 x^2)+e^x (1+2 x+x^2)}{1+2 x+x^2} \, dx\)
  3.3.70 \(\int \frac {e^{10} (6-3 x)-3 x+7 x^2-3 x^3+e^5 (-3+16 x-7 x^2)+(3 x-x^2) \log (x)}{-3 x^3+x^4+e^{10} (-3 x+x^2)+e^5 (-6 x^2+2 x^3)} \, dx\)
  3.3.71 \(\int \frac {-e^2+(-5 e^2-20 x) \log (\frac {-e^2-4 x}{x}) \log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})})+(e^2+4 x) \log (\frac {-e^2-4 x}{x}) \log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})}) \log (\log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})}))}{(25 e^2+100 x) \log (\frac {-e^2-4 x}{x}) \log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})})+(-10 e^2-40 x) \log (\frac {-e^2-4 x}{x}) \log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})}) \log (\log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})}))+(e^2+4 x) \log (\frac {-e^2-4 x}{x}) \log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})}) \log ^2(\log (\frac {e^{2-e^4}}{\log (\frac {-e^2-4 x}{x})}))} \, dx\)
  3.3.72 \(\int \frac {-300-480 x+e^{2 x} (50 x^2+100 x^3)+(60+120 x+e^{2 x} (-20 x^2-40 x^3)) \log (2+4 x)+e^{2 x} (2 x^2+4 x^3) \log ^2(2+4 x)}{25 x^2+50 x^3+(-10 x^2-20 x^3) \log (2+4 x)+(x^2+2 x^3) \log ^2(2+4 x)} \, dx\)
  3.3.73 \(\int e^{2+2 x+x^5} (2+5 x^4) \, dx\)
  3.3.74 \(\int \frac {-60 x+30 x^3+e^x (-20 x^3+10 x^5) \log (2)+(-120 x+40 e^x x^2 \log (2)) \log (\frac {3-e^x x \log (2)}{x \log (2)})}{(-12+12 x^2-3 x^4+e^x (4 x-4 x^3+x^5) \log (2)) \log ^2(\frac {3-e^x x \log (2)}{x \log (2)})} \, dx\)
  3.3.75 \(\int \frac {e^x (e^{1+\frac {1}{4} (-2+x)} (36-27 x+3 x^2)+e (144-144 x+16 x^2))}{192 x^2+96 e^{\frac {1}{4} (-2+x)} x^2+12 e^{\frac {1}{2} (-2+x)} x^2} \, dx\)
  3.3.76 \(\int (-1+e^x (9+3 x)) \, dx\)
  3.3.77 \(\int (3+(-8+4 x^2) \log ^3(\frac {e^{\frac {x^2}{2}}}{x^2})+\log ^4(\frac {e^{\frac {x^2}{2}}}{x^2})) \, dx\)
  3.3.78 \(\int \frac {1}{2} e^{x^3-\frac {49 x^6}{4}} (6 x^2-147 x^5) \, dx\)
  3.3.79 \(\int \frac {e^6 (-5+x+3 x^2)-16 e^3 \log (2)+(e^6 (5-2 x)+16 e^3 \log (2)) \log (x)}{e^6 (25 x^2-10 x^3+x^4)+e^3 (160 x^2-32 x^3) \log (2)+256 x^2 \log ^2(2)} \, dx\)
  3.3.80 \(\int \frac {4 x+(-4 x+x^3) \log (x)+(-4 x+3 x^2) \log (x) \log (\frac {\log (x)}{x})+3 x \log (x) \log ^2(\frac {\log (x)}{x})+\log (x) \log ^3(\frac {\log (x)}{x})}{(-7 x^3+x^4) \log (x)+(-17 x^2+3 x^3) \log (x) \log (\frac {\log (x)}{x})+(-15 x+3 x^2) \log (x) \log ^2(\frac {\log (x)}{x})+(-5+x) \log (x) \log ^3(\frac {\log (x)}{x})} \, dx\)
  3.3.81 \(\int \frac {2 e^{2 x}+e^x (-2-2 x)+2 x+e (1+2 x)}{2+e} \, dx\)
  3.3.82 \(\int \frac {-1296 x^3+\frac {5}{4} e^x (324 x^3-324 x^4)}{-25600+40000 e^x-25000 e^{2 x}+\frac {15625 e^{3 x}}{2}-\frac {78125 e^{4 x}}{64}+\frac {78125 e^{5 x}}{1024}} \, dx\)
  3.3.83 \(\int \frac {260 x+62 x^2+2 x^3+(e^x (125 x+30 x^2+x^3)+e^x (125+30 x+x^2) \log (25+x)) \log (x^2+2 x \log (25+x)+\log ^2(25+x))+(125 x+30 x^2+x^3+(125+30 x+x^2) \log (25+x)) \log (x^2+2 x \log (25+x)+\log ^2(25+x)) \log (\log (x^2+2 x \log (25+x)+\log ^2(25+x)))+((e^x (-25 x-x^2)+e^x (-25-x) \log (25+x)) \log (x^2+2 x \log (25+x)+\log ^2(25+x))+(-25 x^2-x^3+(-25 x-x^2) \log (25+x)) \log (x^2+2 x \log (25+x)+\log ^2(25+x)) \log (\log (x^2+2 x \log (25+x)+\log ^2(25+x)))) \log (e^x+x \log (\log (x^2+2 x \log (25+x)+\log ^2(25+x))))}{(e^x (625 x+275 x^2+35 x^3+x^4)+e^x (625+275 x+35 x^2+x^3) \log (25+x)) \log (x^2+2 x \log (25+x)+\log ^2(25+x))+(625 x^2+275 x^3+35 x^4+x^5+(625 x+275 x^2+35 x^3+x^4) \log (25+x)) \log (x^2+2 x \log (25+x)+\log ^2(25+x)) \log (\log (x^2+2 x \log (25+x)+\log ^2(25+x)))} \, dx\)
  3.3.84 \(\int \frac {e^{\frac {x}{4+2 x+2 \log (x^2)}} (-16+8 x+20 x^2+6 x^3+(-16+17 x+11 x^2) \log (x^2)+(-4+6 x) \log ^2(x^2))}{8 x^3-8 x^4-6 x^5+4 x^6+2 x^7+(8 x^3-12 x^4+4 x^6) \log (x^2)+(2 x^3-4 x^4+2 x^5) \log ^2(x^2)} \, dx\)
  3.3.85 \(\int \frac {(2 x^2+8 x^5) \log (x)+(6-26 x+8 x^2-2 x^4+8 x^5) \log ^3(x)+(6 x-2 x^2-2 x^5+(-6 x+2 x^2+2 x^5) \log (x)) \log (9-6 x+x^2-6 x^4+2 x^5+x^8)}{(-3+x+x^4) \log ^3(x)} \, dx\)
  3.3.86 \(\int \frac {e^{\frac {5+(-2-36 x^2-e^{2 x} x^2-24 x^3-4 x^4+e^x (12 x^2+4 x^3)) \log (\frac {1}{2} (4+e^x))}{\log (\frac {1}{2} (4+e^x))}} (-5 e^x+(-288 x-288 x^2-64 x^3+e^{3 x} (-2 x-2 x^2)+e^x (24 x+24 x^2)+e^{2 x} (16 x+16 x^2+4 x^3)) \log ^2(\frac {1}{2} (4+e^x)))}{(4+e^x) \log ^2(\frac {1}{2} (4+e^x))} \, dx\)
  3.3.87 \(\int \frac {15 x^2-15 x^3+e^{4+4 e^{3/x} x+e^{6/x} x^2} (3 x^2-3 x^3+e^{3/x} (12 x^2-4 x^3)+e^{6/x} (6 x^3-2 x^4))}{25 e^{3 x}+10 e^{4+3 x+4 e^{3/x} x+e^{6/x} x^2}+e^{8+3 x+8 e^{3/x} x+2 e^{6/x} x^2}} \, dx\)
  3.3.88 \(\int \frac {-2-12 x+4 x^3}{x+12 x^2+36 x^3+4 x^4} \, dx\)
  3.3.89 \(\int \frac {100+20 x+(-50-6 x^2) \log (x)}{5 x^2} \, dx\)
  3.3.90 \(\int \frac {16 x+x^4+5 x^5+e^{2 x} (1+x+2 x^2)+e^x (-2 x^2-6 x^3-2 x^4)+(2 e^{2 x} x+4 x^4+e^x (-4 x^2-2 x^3)) \log (x)}{16 x} \, dx\)
  3.3.91 \(\int \frac {(-10 x^4-2 x^5) \log (\log (4))+(5+x)^{\frac {2}{\log (\log (4))}} (4 x^4+(-20 x^3-4 x^4) \log (\log (4)))+(5+x)^{\frac {1}{\log (\log (4))}} (4 x^5+(-20 x^4-4 x^5) \log (\log (4)))}{(5+x)^{1+\frac {6}{\log (\log (4))}} \log (\log (4))+(5+x)^{\frac {5}{\log (\log (4))}} (30 x+6 x^2) \log (\log (4))+(5+x)^{\frac {4}{\log (\log (4))}} (15 x+78 x^2+15 x^3) \log (\log (4))+(5+x)^{\frac {3}{\log (\log (4))}} (60 x^2+112 x^3+20 x^4) \log (\log (4))+(5+x)^{\frac {2}{\log (\log (4))}} (15 x^2+93 x^3+93 x^4+15 x^5) \log (\log (4))+(5+x)^{\frac {1}{\log (\log (4))}} (30 x^3+66 x^4+42 x^5+6 x^6) \log (\log (4))+(5 x^3+16 x^4+18 x^5+8 x^6+x^7) \log (\log (4))} \, dx\)
  3.3.92 \(\int \frac {1}{4} e^{e^x} (-9 e+e^x (54+e (-18-9 x))) \, dx\)
  3.3.93 \(\int \frac {-5+5 x+(-5-10 x) \log (x)+5 \log (e^{-1+x} x)}{6 x-12 x^2+6 x^3+(-12 x+12 x^2) \log (e^{-1+x} x)+6 x \log ^2(e^{-1+x} x)} \, dx\)
  3.3.94 \(\int \frac {2 e^x x-4 x^3+(-4 x+4 x^2) \log (16)+(-4 x^2+e^x (2 x-2 \log (16))+4 x \log (16)) \log (\frac {e^{-x} (e^x-2 x)}{-2 x+2 \log (16)})}{2 x^4-2 x^3 \log (16)+e^x (-x^3+x^2 \log (16))} \, dx\)
  3.3.95 \(\int \frac {768+384 x+(-768+64 x+64 x^2) \log (\frac {1}{3} (-3+x))+(768-64 x-64 x^2) \log (x)}{(3 x^3-x^4) \log ^3(\frac {1}{3} (-3+x))+(-9 x^3+3 x^4) \log ^2(\frac {1}{3} (-3+x)) \log (x)+(9 x^3-3 x^4) \log (\frac {1}{3} (-3+x)) \log ^2(x)+(-3 x^3+x^4) \log ^3(x)} \, dx\)
  3.3.96 \(\int \frac {1}{-10+x} \, dx\)
  3.3.97 \(\int \frac {-4-2 e^{\frac {1}{2} (-x+2 \log (3))}+e^{\frac {1}{2} (-x+2 \log (3))} (1-x) \log (1-x)}{(-12+12 x+e^{\frac {1}{2} (-x+2 \log (3))} (-6+6 x)) \log (1-x)} \, dx\)
  3.3.98 \(\int \frac {-64+2^{-x^2} (-16-288 x^2 \log (2))+2^{-2 x^2} (-1-36 x^2 \log (2))+(-2^{2-2 x^2} x^2 \log (2)-2^{5-x^2} x^2 \log (2)) \log (x)}{81 x+18 x \log (x)+x \log ^2(x)} \, dx\)
  3.3.99 \(\int \frac {-4 e^x x \log (x)+e^x (8 x+2 x^2) \log ^2(x)+e^x (-8 x-4 x^2) \log ^3(x)+e^x (-2+2 x+2 x^2) \log ^4(x)}{5 e^{2 x} x^4-20 e^{2 x} x^4 \log (x)+(10 e^x x^2+e^{2 x} (-10 x^3+30 x^4)) \log ^2(x)+(-20 e^x x^2+e^{2 x} (20 x^3-20 x^4)) \log ^3(x)+(5+e^x (-10 x+10 x^2)+e^{2 x} (5 x^2-10 x^3+5 x^4)) \log ^4(x)} \, dx\)
  3.3.100 \(\int \frac {-x^3+e^{-2+x+\frac {e^{-2+x} (1+e^{5/x} x^2)}{x^2}} ((2-x) \log (2)+e^{5/x} (5 x-x^3) \log (2))}{25 x^3+10 x^4+x^5+e^{\frac {e^{-2+x} (1+e^{5/x} x^2)}{x^2}} (10 x^3+2 x^4) \log (2)+e^{\frac {2 e^{-2+x} (1+e^{5/x} x^2)}{x^2}} x^3 \log ^2(2)} \, dx\)