3.27 Integrals 2601 to 2700

3.27.1 \(\int \genfrac {}{}{}{}{-28 e^3+4 e^3 (i \pi +\log (2))}{147+42 x+3 x^2+(-42-6 x) (i \pi +\log (2))+3 (i \pi +\log (2))^2} \, dx\) [2601]
3.27.2 \(\int \genfrac {}{}{}{}{1}{36} (324 x^3+225 x^4+360 x^6+240 x^7+84 x^9+55 x^{10}+e^8 (52 x^5+35 x^6)+e^6 (-240 x^6-160 x^7)+e^4 (264 x^4+180 x^5+408 x^7+270 x^8)+e^2 (-624 x^5-420 x^6-304 x^8-200 x^9)+(144 x^3+24 e^8 x^5+168 x^6-112 e^6 x^6+40 x^9+e^4 (120 x^4+192 x^7)+e^2 (-288 x^5-144 x^8)) \log (x)) \, dx\) [2602]
3.27.3 \(\int \genfrac {}{}{}{}{e^{-e^x-2 \log ^2(x)} (-1-e^x x-4 \log (x))}{x^2} \, dx\) [2603]
3.27.4 \(\int \genfrac {}{}{}{}{6 x^2-6 x^2 \log (x)+4 e^6 x \log ^3(x)+(3 x^2 \log (x)+e^6 (-64-4 x) \log ^3(x)) \log (\genfrac {}{}{}{}{-45 x^2+e^6 (960+60 x) \log ^2(x)}{4 e^6 \log ^2(x)})}{-3 x^4 \log (x)+e^6 (64 x^2+4 x^3) \log ^3(x)} \, dx\) [2604]
3.27.5 \(\int \genfrac {}{}{}{}{e^x (2 x+2 x^2+(-8 x^4-2 x^5) \log ^2(5))+e^x (-2 x-x^2+(2 x^4+x^5) \log ^2(5)) \log (e^x (-x+x^4 \log ^2(5)))}{(-1+x^3 \log ^2(5)) \log ^3(e^x (-x+x^4 \log ^2(5)))} \, dx\) [2605]
3.27.6 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{64} (16 e^x x+4 x^2+(4 e^x x+x^2) \log (1-x))} (-8 x+9 x^2+e^x (-16+4 x+16 x^2)+(-2 x+2 x^2+e^x (-4+4 x^2)) \log (1-x))}{-64+64 x} \, dx\) [2606]
3.27.7 \(\int \genfrac {}{}{}{}{1248+3250 x+2900 x^2+1060 x^3+170 x^4+10 x^5+(-625-1000 x-450 x^2-80 x^3-5 x^4) \log (5)+e^{x^2} (4 x+4 x^2-2 x \log (5))}{-2-2 x+\log (5)} \, dx\) [2607]
3.27.8 \(\int \genfrac {}{}{}{}{x+8 e^{-1+\log ^2(x)} \log (x)}{4 e^{-1+\log ^2(x)} x+x^2} \, dx\) [2608]
3.27.9 \(\int \genfrac {}{}{}{}{4 e^{\genfrac {}{}{}{}{1}{6} (2+3 x)} x^2+e^{\genfrac {}{}{}{}{1}{12} (2+3 x)} (-6 x+x^2+x^3)+e^{\genfrac {}{}{}{}{1}{12} (2+3 x)} (8-14 x-2 x^2) \log (x)}{16-16 x+4 x^2+4 e^{\genfrac {}{}{}{}{1}{6} (2+3 x)} x^2+e^{\genfrac {}{}{}{}{1}{12} (2+3 x)} (-16 x+8 x^2)+(32-16 x-16 e^{\genfrac {}{}{}{}{1}{12} (2+3 x)} x) \log (x)+16 \log ^2(x)} \, dx\) [2609]
3.27.10 \(\int \genfrac {}{}{}{}{36 x^3+12 x^4+(-36 x^3-9 x^4) \log (x)+(-18-9 x-x^2) \log ^2(5) \log ^3(x)+(-18 x^3-6 x^4+(18 x^3+6 x^4) \log (x)+(9+3 x) \log ^2(5) \log ^3(x)) \log (3+x)}{(3 x^2+x^3) \log ^2(5) \log ^3(x)} \, dx\) [2610]
3.27.11 \(\int \genfrac {}{}{}{}{-2+e^{4 x-4 x^2}+e^{4 x-4 x^2} (4-12 x+8 x^2) \log (-1+x)}{(-1+x) \log (4) \log ^2(-1+x)} \, dx\) [2611]
3.27.12 \(\int \genfrac {}{}{}{}{1}{5} (7+60 e^x+10 e^{2 x}+10 x) \, dx\) [2612]
3.27.13 \(\int -\genfrac {}{}{}{}{4}{5} e^{-x^2} x \, dx\) [2613]
3.27.14 \(\int \genfrac {}{}{}{}{-28+22 \log (x)-4 \log ^2(x)}{25 x^2-20 x^2 \log (x)+4 x^2 \log ^2(x)} \, dx\) [2614]
3.27.15 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} (12-7 x-x^2-2 \log (x))} (-108 e^{\genfrac {}{}{}{}{1}{2} (-12+7 x+x^2+2 \log (x))}-4 x-14 x^2-4 x^3)}{9 x^2} \, dx\) [2615]
3.27.16 \(\int \genfrac {}{}{}{}{-450 x-60 e^2 x-2 e^4 x+6 e^{\genfrac {}{}{}{}{x^2}{225+30 e^2+e^4}} x}{225+30 e^2+e^4} \, dx\) [2616]
3.27.17 \(\int \genfrac {}{}{}{}{(6 x+12 x^2+4 x^3) \log ^2(3 x)+e^{\genfrac {}{}{}{}{2 (-x^2+x^3)}{\log (3 x)}} (6 x^2+2 x^3-6 x^4-2 x^5+(-12 x^2+2 x^3+20 x^4+6 x^5) \log (3 x)+(3+8 x+3 x^2) \log ^2(3 x))}{\log ^2(3 x)} \, dx\) [2617]
3.27.18 \(\int \genfrac {}{}{}{}{84+146 x+60 x^2+(-42-73 x-30 x^2) \log (\genfrac {}{}{}{}{1}{31} (28+30 x))+(-45 x-15 x^2) \log (3 x+x^2)}{42 x+59 x^2+15 x^3} \, dx\) [2618]
3.27.19 \(\int \genfrac {}{}{}{}{-13 x-x^2+x^3+(390+19 x-63 x^2+4 x^3) \log (\genfrac {}{}{}{}{15}{-15+x})}{-2535 x^3-221 x^4+401 x^5+5 x^6-17 x^7+x^8} \, dx\) [2619]
3.27.20 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{5}{x^4 \log (-3 x+2 x^5)}} (-45+150 x^4+(-180+120 x^4) \log (-3 x+2 x^5))}{(-3 x^5+2 x^9) \log ^2(-3 x+2 x^5)} \, dx\) [2620]
3.27.21 \(\int \genfrac {}{}{}{}{2 e^6 (17+8 x-\log (x))}{(18 x+4 x^2-x \log (x)) (54 x+12 x^2-3 x \log (x)+\genfrac {}{}{}{}{2 e^6 (-18 x-4 x^2+x \log (x))}{18 x+4 x^2-x \log (x)})} \, dx\) [2621]
3.27.22 \(\int \genfrac {}{}{}{}{e^6 (64 x^7-64 x^8+16 x^9)+e^x (4 e^3 x^2+e^6 (-24 x^6+8 x^7))+(e^{3+x} (-12 x^2-4 x^3)+e^3 (32 x^4-16 x^5)) \log (x)+4 x \log ^2(x)}{e^6 (16 x^6-16 x^7+4 x^8)+e^3 (8 x^3-4 x^4) \log (x)+\log ^2(x)} \, dx\) [2622]
3.27.23 \(\int \genfrac {}{}{}{}{96+96 x+4 x^2+8 x^3-2 x^4-2 x^5}{x^3+x^4} \, dx\) [2623]
3.27.24 \(\int \genfrac {}{}{}{}{24-6 x+(12+24 x-6 x^2) \log (\genfrac {}{}{}{}{2}{x^2})+(12-3 x) \log (\genfrac {}{}{}{}{2}{x^2}) \log (-\genfrac {}{}{}{}{x}{(-4+x) \log (\genfrac {}{}{}{}{2}{x^2})})}{(-4 x^4+x^5) \log (\genfrac {}{}{}{}{2}{x^2})+(-8 x^3+2 x^4) \log (\genfrac {}{}{}{}{2}{x^2}) \log (-\genfrac {}{}{}{}{x}{(-4+x) \log (\genfrac {}{}{}{}{2}{x^2})})+(-4 x^2+x^3) \log (\genfrac {}{}{}{}{2}{x^2}) \log ^2(-\genfrac {}{}{}{}{x}{(-4+x) \log (\genfrac {}{}{}{}{2}{x^2})})} \, dx\) [2624]
3.27.25 \(\int \genfrac {}{}{}{}{1+x+e^x (1+2 x-x^2)+e^{x^2} (-2 x^2+e^x (x-2 x^2))-e^x x \log (x)}{x+e^{2 x^2} x-2 x^2+x^3+e^{x^2} (2 x-2 x^2)+(-2 x-2 e^{x^2} x+2 x^2) \log (x)+x \log ^2(x)} \, dx\) [2625]
3.27.26 \(\int \genfrac {}{}{}{}{e^8 (-3-2 x)-3 x-x^2+e^x (3+x+e^8 (4+x))}{-3 x-x^2+e^x (3+x)} \, dx\) [2626]
3.27.27 \(\int \genfrac {}{}{}{}{216 e^x x^3+e^x (-864 x^3-216 x^4) \log (x)+e^x \log ^2(x)}{\log ^2(x)} \, dx\) [2627]
3.27.28 \(\int \genfrac {}{}{}{}{5 e^{.\genfrac {}{}{}{}{5}{4}/x}+4 x^2}{4 x^2} \, dx\) [2628]
3.27.29 \(\int \genfrac {}{}{}{}{(-48 x+2 x^2+2 x^3) \log (x)+(-48 x+3 x^2+4 x^3) \log ^2(x)}{-64+(-24 x^2+x^3+x^4) \log ^2(x)} \, dx\) [2629]
3.27.30 \(\int \genfrac {}{}{}{}{6 x^2-4 x \log (2)+e^x (-4 x-2 x^2+(2+2 x) \log (2))+e^{7 x} (-4 x^2-2 x \log (2)+e^x (5 x-x^2+(1+x) \log (2)))+(-4 x+e^x (2+2 x)+e^{7 x} (-2 x+e^x (1+x))) \log (2+e^{7 x})}{2+e^{7 x}} \, dx\) [2630]
3.27.31 \(\int e^{x-25 x^3+10 x^4-x^5} (1+x-75 x^3+40 x^4-5 x^5) \, dx\) [2631]
3.27.32 \(\int \genfrac {}{}{}{}{(-144 x+72 x^2-9 x^3) \log (3)+(-24 x^2+6 x^3) \log (3) \log (x)-x^3 \log (3) \log ^2(x)+e^{e^{\genfrac {}{}{}{}{(12 x-3 x^2) \log (3)+(6-2 x+x^2 \log (3)) \log (x)}{(12-3 x) \log (3)+x \log (3) \log (x)}}+\genfrac {}{}{}{}{(12 x-3 x^2) \log (3)+(6-2 x+x^2 \log (3)) \log (x)}{(12-3 x) \log (3)+x \log (3) \log (x)}} (72-42 x+6 x^2+(144 x-72 x^2+9 x^3) \log (3)+(-6 x+(24 x^2-6 x^3) \log (3)) \log (x)+(-6 x+x^3 \log (3)) \log ^2(x))}{(144 x-72 x^2+9 x^3) \log (3)+(24 x^2-6 x^3) \log (3) \log (x)+x^3 \log (3) \log ^2(x)} \, dx\) [2632]
3.27.33 \(\int \genfrac {}{}{}{}{5^{(2-e^{2 x}) x^x} (2-e^{2 x}) x^{x+(2-e^{2 x}) x^x} (-2+e^{2 x}+(-2 x+3 e^{2 x} x+(-2 x+e^{2 x} x) \log (x)) \log (5 x))}{-2 x+e^{2 x} x} \, dx\) [2633]
3.27.34 \(\int \genfrac {}{}{}{}{3-2 x+2 x \log (4)}{3 x-x^2+x^2 \log (4)} \, dx\) [2634]
3.27.35 \(\int \genfrac {}{}{}{}{-15-15 x+(-15-10 x) \log (x)}{x^4+(6 x^3+2 x^4) \log (x)+(9 x^2+6 x^3+x^4) \log ^2(x)} \, dx\) [2635]
3.27.36 \(\int -\genfrac {}{}{}{}{1}{-34+x} \, dx\) [2636]
3.27.37 \(\int \genfrac {}{}{}{}{2-2 x}{x} \, dx\) [2637]
3.27.38 \(\int \genfrac {}{}{}{}{54 e x+(6-36 e x) \log (5)+(-2+6 e x) \log ^2(5)}{3 e \log ^2(5)} \, dx\) [2638]
3.27.39 \(\int \genfrac {}{}{}{}{243 x^4+3^x (-4 e+4 e x \log (3))}{9 x^2} \, dx\) [2639]
3.27.40 \(\int \genfrac {}{}{}{}{-30 x+100 x^2+400 x^3+(6-2 x) \log (x)+(-19 x-80 x^2) \log ^2(x)+(1+4 x) \log ^4(x)}{100 x^3-20 x^2 \log ^2(x)+x \log ^4(x)} \, dx\) [2640]
3.27.41 \(\int \genfrac {}{}{}{}{-3-3 x^2+e^{3+9 x+6 x^2+x^3} (-1+9 x+12 x^2+3 x^3)}{x^2} \, dx\) [2641]
3.27.42 \(\int \genfrac {}{}{}{}{-2 e^{-6-x}+2 x+(-x-e^{-6-x} x) \log (196 x^2)}{(e^{-6-x} x-x^2) \log (196 x^2)} \, dx\) [2642]
3.27.43 \(\int \genfrac {}{}{}{}{-2 x^2+2 x^3+4 x^4-2 x^5+e^3 (4 x^3-2 x^4)+e^6 (x^2-2 e^3 x^3-2 x^4)+(1+2 e^3 x+2 x^2) \log (2)}{2 x^3-e^6 x^3-x^4+x \log (2)} \, dx\) [2643]
3.27.44 \(\int \genfrac {}{}{}{}{e^{1+e} (-24 x+12 \log ^2(4))}{25+10 x^2+x^4+(-10 x-2 x^3) \log ^2(4)+x^2 \log ^4(4)} \, dx\) [2644]
3.27.45 \(\int \genfrac {}{}{}{}{-6+3 x+(-3 x+(12-6 x) \log (4)) \log (x)+(12-6 x) \log (x) \log (\genfrac {}{}{}{}{-2+x}{\log (x)})}{(-2 x^3+x^4) \log ^2(4) \log (x)+(-4 x^3+2 x^4) \log (4) \log (x) \log (\genfrac {}{}{}{}{-2+x}{\log (x)})+(-2 x^3+x^4) \log (x) \log ^2(\genfrac {}{}{}{}{-2+x}{\log (x)})} \, dx\) [2645]
3.27.46 \(\int \genfrac {}{}{}{}{-196 x-x^2+51 x^3+x^4+x^5+e^{2 x} (-1+2 x+x^2+x^3)+e^x (-49-149 x+53 x^2+2 x^3+2 x^4)+(49 x+48 x^3+2 x^4+3 x^5+e^{2 x} (-x+2 x^2+3 x^3)+e^x (49 x+96 x^2-45 x^3+6 x^4)) \log (x)}{e^{2 x} x+2 e^x x^2+x^3} \, dx\) [2646]
3.27.47 \(\int \genfrac {}{}{}{}{\log (\log (5 (i \pi +\log (4))))}{4+4 x+x^2} \, dx\) [2647]
3.27.48 \(\int 5 (i \pi +\log (4)) \, dx\) [2648]
3.27.49 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{20-55 x+e^4 x+5 x^2-5 x^4}{x}} (-20+5 x^2-15 x^4)}{x^2} \, dx\) [2649]
3.27.50 \(\int e^{-x} (-1-20 e^{3 x}+4 e^{5 x}+e^x (8-2 x)+x) \, dx\) [2650]
3.27.51 \(\int \genfrac {}{}{}{}{3125000-906250 x+e^{x+4 x^2} (2343750+23875000 x-9172500 x^2+618550 x^3-11600 x^4)+e^{2 x+8 x^2} (-781250-6156250 x+746250 x^2-29950 x^3+400 x^4)}{-15625+1875 x-75 x^2+x^3} \, dx\) [2651]
3.27.52 \(\int \genfrac {}{}{}{}{-6+4 x+45 x^2+5 e^{8-2 x} x^2-30 x^3+5 x^4+e^{4-x} (2-2 x-30 x^2+10 x^3)}{9 x^2+e^{8-2 x} x^2-6 x^3+x^4+e^{4-x} (-6 x^2+2 x^3)} \, dx\) [2652]
3.27.53 \(\int \genfrac {}{}{}{}{2 x^3 \log ^2(3)-4 x \log ^3(3)+(-2 x^5 \log (3)+14 x^3 \log ^2(3)) \log (x)-12 x^5 \log (3) \log ^2(x)+2 x^7 \log ^3(x)}{-8 \log ^3(3)+12 x^2 \log ^2(3) \log (x)-6 x^4 \log (3) \log ^2(x)+x^6 \log ^3(x)} \, dx\) [2653]
3.27.54 \(\int \genfrac {}{}{}{}{1}{8} (36 x-4 e^4 x-4 x \log (4)+(72 x-8 e^4 x-8 x \log (4)) \log (x)+e^{e^{x/4}} (-4 x+(-8 x-e^{x/4} x^2) \log (x))) \, dx\) [2654]
3.27.55 \(\int \genfrac {}{}{}{}{1}{7} e^{\genfrac {}{}{}{}{1}{7} (e^{e^x-x} (-28+7 e^{4 x}-x)+35 x-7 e^{4 x} x+x^2)} (35+e^{4 x} (-7-28 x)+2 x+e^{e^x-x} (27+e^{4 x} (21+7 e^x)+e^x (-28-x)+x)) \, dx\) [2655]
3.27.56 \(\int -\genfrac {}{}{}{}{1}{7+x} \, dx\) [2656]
3.27.57 \(\int (-1-60 x+900 x^3) \, dx\) [2657]
3.27.58 \(\int \genfrac {}{}{}{}{5 x^2+e^x (1225 x^2+245 x^3+e^{5/x} (-1225+245 x^2))}{x^2} \, dx\) [2658]
3.27.59 \(\int \genfrac {}{}{}{}{128-16 e^x}{(-80+4 e^x-32 x+(-20+e^x-8 x) \log (\genfrac {}{}{}{}{1}{4} (100-5 e^x+40 x))) \log ^2(4+\log (\genfrac {}{}{}{}{1}{4} (100-5 e^x+40 x)))} \, dx\) [2659]
3.27.60 \(\int \genfrac {}{}{}{}{-16+9 x+3 x^2}{4 x+x^2} \, dx\) [2660]
3.27.61 \(\int \genfrac {}{}{}{}{-5 x-70 x^2+e^{2 x} x^2+70 x^3+5 x^4+e^x (-1-4 x^2+5 x^3)}{e^{2 x} x^2+e^x (x+15 x^2+x^3)} \, dx\) [2661]
3.27.62 \(\int \genfrac {}{}{}{}{2-5 x+20 x^4 \log ^2(4)}{x} \, dx\) [2662]
3.27.63 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{9} (9-9 x+6 x^2-x^3-3750 x^4+1250 x^5-390625 x^7)} (-9-9 x+12 x^2-3 x^3-15000 x^4+6250 x^5-2734375 x^7)}{9 x^2} \, dx\) [2663]
3.27.64 \(\int (e^x x)^{4 x^2} (\genfrac {}{}{}{}{2 \log (3)}{9})^{4 x^2} (4 x+4 x^2+8 x \log (\genfrac {}{}{}{}{2}{9} e^x x \log (3))) \, dx\) [2664]
3.27.65 \(\int \genfrac {}{}{}{}{-20 x^6+5 x^7+(120 x^6-30 x^7) \log (5)+(-300 x^6+75 x^7) \log ^2(5)+(400 x^6-100 x^7) \log ^3(5)+(-300 x^6+75 x^7) \log ^4(5)+(120 x^6-30 x^7) \log ^5(5)+(-20 x^6+5 x^7) \log ^6(5)+(-25 x^4 \log ^2(5)+100 x^4 \log ^3(5)-150 x^4 \log ^4(5)+100 x^4 \log ^5(5)-25 x^4 \log ^6(5)) \log (\log (3))}{64 x^6+48 x^7+12 x^8+x^9+(-384 x^6-288 x^7-72 x^8-6 x^9) \log (5)+(960 x^6+720 x^7+180 x^8+15 x^9) \log ^2(5)+(-1280 x^6-960 x^7-240 x^8-20 x^9) \log ^3(5)+(960 x^6+720 x^7+180 x^8+15 x^9) \log ^4(5)+(-384 x^6-288 x^7-72 x^8-6 x^9) \log ^5(5)+(64 x^6+48 x^7+12 x^8+x^9) \log ^6(5)+((48 x^4+24 x^5+3 x^6) \log ^2(5)+(-192 x^4-96 x^5-12 x^6) \log ^3(5)+(288 x^4+144 x^5+18 x^6) \log ^4(5)+(-192 x^4-96 x^5-12 x^6) \log ^5(5)+(48 x^4+24 x^5+3 x^6) \log ^6(5)) \log (\log (3))+((12 x^2+3 x^3) \log ^4(5)+(-24 x^2-6 x^3) \log ^5(5)+(12 x^2+3 x^3) \log ^6(5)) \log ^2(\log (3))+\log ^6(5) \log ^3(\log (3))} \, dx\) [2665]
3.27.66 \(\int \genfrac {}{}{}{}{-11 x^2-4 x^3+e^x (4 x^2+4 x^3)+(-12 x-3 x^2+e^x (4 x+4 x^2)) \log (x)+(-3+e^x (1+x)) \log ^2(x)}{4 x^2+4 x \log (x)+\log ^2(x)} \, dx\) [2666]
3.27.67 \(\int \genfrac {}{}{}{}{e^{.\genfrac {}{}{}{}{1}{3}/x} (-4-13 x)+9 x^3}{3 x^3} \, dx\) [2667]
3.27.68 \(\int \genfrac {}{}{}{}{5832+440 e^x+8 e^{2 x}+e^{2 e^{5 e^x}+5 e^x} (91125 e^x+6750 e^{2 x}+125 e^{3 x})}{5832+432 e^x+8 e^{2 x}} \, dx\) [2668]
3.27.69 \(\int \genfrac {}{}{}{}{12 x^2+e^{\genfrac {}{}{}{}{1-2 x^3+x^2 \log (5)}{x^2}} (-2+x^2-2 x^3)}{20 x^2} \, dx\) [2669]
3.27.70 \(\int \genfrac {}{}{}{}{2 x+4 x^2+2 x^3+(2 x+6 x^2+4 x^3) \log (x) \log (\log (x)) \log (\log ^2(\log (x)))}{-e^{25} \log (x) \log (\log (x))+(x^2+2 x^3+x^4) \log (x) \log (\log (x)) \log (\log ^2(\log (x)))} \, dx\) [2670]
3.27.71 \(\int (-10-6 x-4 x^3) \, dx\) [2671]
3.27.72 \(\int \genfrac {}{}{}{}{-4+2 x+11 x^3+(1-2 x^3) \log (x)+(-1-2 x-x^3) \log (\genfrac {}{}{}{}{2+4 x+2 x^3}{x})}{x+2 x^2+x^4} \, dx\) [2672]
3.27.73 \(\int \genfrac {}{}{}{}{x+e^x (-2-2 x) x-4 x^2 \log (x)-4 x^2 \log ^2(x)}{2 x} \, dx\) [2673]
3.27.74 \(\int \genfrac {}{}{}{}{512+1920 x+2528 x^2+1480 x^3+614 x^4+255 x^5+(-384-960 x-696 x^2-240 x^3-153 x^4) \log (x)+(96+120 x+24 x^2+30 x^3) \log ^2(x)+(-8-2 x^2) \log ^3(x)}{-64 x^2-240 x^3-300 x^4-125 x^5+(48 x^2+120 x^3+75 x^4) \log (x)+(-12 x^2-15 x^3) \log ^2(x)+x^2 \log ^3(x)} \, dx\) [2674]
3.27.75 \(\int e^{6-2 x+2 x^2-4 x \log (2)+2 \log ^2(2)-\log ^2(4)} (-8+16 x-16 \log (2)) \, dx\) [2675]
3.27.76 \(\int \genfrac {}{}{}{}{e^{x^2-\genfrac {}{}{}{}{e^{x^2}}{-25 x^3+x^4}} (-75+4 x+50 x^2-2 x^3)}{625 x^4-50 x^5+x^6} \, dx\) [2676]
3.27.77 \(\int \genfrac {}{}{}{}{-2 x^2+2 e^4 x^2+2 x^3-2 x^4+e^{25} (-2 x+2 x^2)+2 x^2 \log (x)+(e^{50} (2-2 x)+2 x^2-2 x^3-2 x^5+e^{25} (4 x-2 e^4 x-6 x^2+4 x^3)+e^4 (-4 x^2+6 x^3)+(-2 e^{25} x-4 x^2+6 x^3) \log (x)) \log (e^4-x+\log (x))+(-2 x^3+6 x^4-4 x^5+e^4 (2 x^2-6 x^3+4 x^4)+e^{25} (-2 x^2+4 x^3+e^4 (2 x-4 x^2))+(2 x^2-6 x^3+4 x^4+e^{25} (2 x-4 x^2)) \log (x)) \log ^2(e^4-x+\log (x))}{e^4 x-x^2+x \log (x)} \, dx\) [2677]
3.27.78 \(\int \genfrac {}{}{}{}{25+10 x+e^x (5-3 x-x^2)}{25+10 e^x+e^{2 x}} \, dx\) [2678]
3.27.79 \(\int \genfrac {}{}{}{}{e^{4 e^{e^{3/x}}} (10 e^{2/x}-5 x^2+e^{e^{3/x}+\genfrac {}{}{}{}{3}{x}} (-60+60 e^{2/x}+60 x))}{36 x^2+e^{4 e^{e^{3/x}}} (-12 x^2+12 e^{2/x} x^2+12 x^3)+e^{8 e^{e^{3/x}}} (x^2+e^{4/x} x^2-2 x^3+x^4+e^{2/x} (-2 x^2+2 x^3))} \, dx\) [2679]
3.27.80 \(\int \genfrac {}{}{}{}{-3 x+(3-6 x+24 x^5) \log (x^3)-2 x \log (x^3) \log (\log (x^3))}{\log (x^3)} \, dx\) [2680]
3.27.81 \(\int \genfrac {}{}{}{}{e^{-1-e^{25}} (e^{4 x} (-10-3 x+x^2)+e^{2 x} (25+50 x+10 x^2)+(-2 e^{4 x}+e^{2 x} (5+10 x)) \log (x))}{25+e^{2 x} (-20+10 x)+e^{4 x} (4-4 x+x^2)} \, dx\) [2681]
3.27.82 \(\int \genfrac {}{}{}{}{-118-125 x-123 x^2}{25 x^2} \, dx\) [2682]
3.27.83 \(\int \genfrac {}{}{}{}{-2-x+(-2-x+x \log (x)) \log (\log (x))}{12 x+12 x^2+3 x^3+(12 x+6 x^2) \log (x) \log (\log (x))+3 x \log ^2(x) \log ^2(\log (x))} \, dx\) [2683]
3.27.84 \(\int e^{-x} (-3 x^2+x^3-e^x \log (4)) \, dx\) [2684]
3.27.85 \(\int \genfrac {}{}{}{}{e^{-14-2 x-x^3} (e^6+4 e^{3+x} x+4 e^{2 x} x^2) (-6 e^x x^4+e^3 (-2-2 x-3 x^3))}{x^2 (e^3 x+2 e^x x^2)} \, dx\) [2685]
3.27.86 \(\int \genfrac {}{}{}{}{-5 \log (5)+e^{\genfrac {}{}{}{}{3 x+x^2 \log (5)+x \log ^2(5)}{\log (5)}} (-15-10 x \log (5)-5 \log ^2(5))}{4 \log (5)} \, dx\) [2686]
3.27.87 \(\int \genfrac {}{}{}{}{-8 x-2 x^2+(-24+2 x) \log (4)+(x^2+4 \log (4)) \log (x^2)}{e^4 (256 x^2-128 x^3+16 x^4)+e^4 (512 x-256 x^2+32 x^3) \log (4)+e^4 (256-128 x+16 x^2) \log ^2(4)+(e^4 (-128 x^2+64 x^3-8 x^4)+e^4 (-256 x+128 x^2-16 x^3) \log (4)+e^4 (-128+64 x-8 x^2) \log ^2(4)) \log (x^2)+(e^4 (16 x^2-8 x^3+x^4)+e^4 (32 x-16 x^2+2 x^3) \log (4)+e^4 (16-8 x+x^2) \log ^2(4)) \log ^2(x^2)} \, dx\) [2687]
3.27.88 \(\int \genfrac {}{}{}{}{e^{-e^x+10 x+3 x^2} (12 x^2+38 x^3+14 x^4-6 x^5+e^x (-4 x^3+x^4))}{32-16 x+2 x^2} \, dx\) [2688]
3.27.89 \(\int \genfrac {}{}{}{}{1-676 x-e^{2 e^2} x-104 x^2-315 x^3-16 x^4-20 x^5+e^{e^2} (-52 x-4 x^2-12 x^3)}{-676 x^2-e^{2 e^2} x^2-52 x^3-105 x^4-4 x^5-4 x^6+e^{e^2} (-52 x^2-2 x^3-4 x^4)+x \log (x)} \, dx\) [2689]
3.27.90 \(\int \genfrac {}{}{}{}{-2812500 x^3-2250000 x^4 \log (2)-675000 x^5 \log ^2(2)-90000 x^6 \log ^3(2)-4500 x^7 \log ^4(2)+(1012500 x^2+2812500 x^3+(607500 x^3+2812500 x^4) \log (2)+(121500 x^4+1012500 x^5) \log ^2(2)+(8100 x^5+157500 x^6) \log ^3(2)+9000 x^7 \log ^4(2)) \log (x)+(-121500 x-1012500 x^2+(-48600 x^2-810000 x^3) \log (2)+(-4860 x^3-202500 x^4) \log ^2(2)-16200 x^5 \log ^3(2)) \log ^2(x)+(4860+121500 x+(972 x+72900 x^2) \log (2)+9720 x^3 \log ^2(2)) \log ^3(x)+(-4860-1944 x \log (2)) \log ^4(x)}{5834375 x^5+5834375 x^6 \log (2)+2333750 x^7 \log ^2(2)+466750 x^8 \log ^3(2)+46675 x^9 \log ^4(2)+1867 x^{10} \log ^5(2)+(-2812500 x^4-2250000 x^5 \log (2)-675000 x^6 \log ^2(2)-90000 x^7 \log ^3(2)-4500 x^8 \log ^4(2)) \log (x)+(506250 x^3+303750 x^4 \log (2)+60750 x^5 \log ^2(2)+4050 x^6 \log ^3(2)) \log ^2(x)+(-40500 x^2-16200 x^3 \log (2)-1620 x^4 \log ^2(2)) \log ^3(x)+(1215 x+243 x^2 \log (2)) \log ^4(x)} \, dx\) [2690]
3.27.91 \(\int \genfrac {}{}{}{}{e^4+x+\log (x)+(e^4+x+\log (x))^x (-5 e^4+5 x^2-5 \log (x)+(5 e^4 x+5 x^2+5 x \log (x)) \log (e^4+x+\log (x)))}{2 e^4 x^2+2 x^3+2 x^2 \log (x)} \, dx\) [2691]
3.27.92 \(\int \genfrac {}{}{}{}{e^{2 x+\genfrac {}{}{}{}{e^{-x}}{-2 x^2+x^4}} (8 x^3-8 x^5+2 x^7+e^{-x} (4+2 x-4 x^2-x^3))}{4 x^3-4 x^5+x^7} \, dx\) [2692]
3.27.93 \(\int \genfrac {}{}{}{}{1+x+e^{-9+x} x+e^{-x+x^2} (-x+2 x^2)}{x} \, dx\) [2693]
3.27.94 \(\int (2+e^x+e^{5+x} (-1-x)-2 x) \, dx\) [2694]
3.27.95 \(\int \genfrac {}{}{}{}{e^{16} (-10000-8000 x-2400 x^2-320 x^3-16 x^4)+e^{16} (8000 x+4800 x^2+960 x^3+64 x^4) \log (\genfrac {}{}{}{}{x}{25})}{625 x \log ^2(\genfrac {}{}{}{}{x}{25})} \, dx\) [2695]
3.27.96 \(\int \genfrac {}{}{}{}{45 x^2+e^{\genfrac {}{}{}{}{-5+x^3}{x^2}} (270+27 x^2+27 x^3)}{9 e^2 x^2-30 e x^3+25 x^4+9 e^{\genfrac {}{}{}{}{2 (-5+x^3)}{x^2}} x^4+e^{\genfrac {}{}{}{}{-5+x^3}{x^2}} (-18 e x^3+30 x^4)} \, dx\) [2696]
3.27.97 \(\int (2 x-16 x^3+24 x^5+e^9 (-2+12 x^2)+(2-12 x^2) \log (2)) \, dx\) [2697]
3.27.98 \(\int \genfrac {}{}{}{}{80-3 e^{2 x}+1040 x-768 x^2+192 x^3-16 x^4+e^x (192-112 x+16 x^2)}{4032+e^{2 x}-4112 x+1536 x^2-256 x^3+16 x^4+e^x (-128+64 x-8 x^2)} \, dx\) [2698]
3.27.99 \(\int \genfrac {}{}{}{}{1}{50} (75+116 x) \, dx\) [2699]
3.27.100 \(\int (-50 x-9 x^2+e^{x^2} (3 x^2+2 x^4)) \, dx\) [2700]