[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.7
Integrals 601 to 700
\(\int \genfrac {}{}{}{}{1}{x} \, dx\) [601]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{21+x}-3 x^2-e^x x^2}{3 x+e^x x}} (e^{21+x} (18+6 e^x-18 x)+54 x^2+36 e^x x^2+6 e^{2 x} x^2)+e^{\genfrac {}{}{}{}{2 (e^{21+x}-3 x^2-e^x x^2)}{3 x+e^x x}} (-18 x^2-12 e^x x^2-2 e^{2 x} x^2+e^{21+x} (-6-2 e^x+6 x))}{9 x^2+6 e^x x^2+e^{2 x} x^2} \, dx\) [602]
\(\int \genfrac {}{}{}{}{-375+300 x-64 x^2+(-125+100 x-20 x^2) \log (4)}{25 x^2-20 x^3+4 x^4} \, dx\) [603]
\(\int \genfrac {}{}{}{}{4 x^2-2 e^x x^2+3 x^3+x^4+(x^2+x^3) \log (9)+(-2 x^2-2 x \log (9)+e^x (2 x^2+2 x \log (9))) \log (x+\log (9))+\log (\genfrac {}{}{}{}{1}{5} (-2+e^x-x)) (-4 x+2 e^x x-2 x^2+(4 x+2 x^2+e^x (-2 x-2 \log (9))+(4+2 x) \log (9)) \log (x+\log (9)))}{-2 x^3-x^4+(-2 x^2-x^3) \log (9)+e^x (x^3+x^2 \log (9))} \, dx\) [604]
\(\int \genfrac {}{}{}{}{-9 x^3-18 x^4-15 x^5-4 x^6+e^4 (27 x^2+36 x^3+25 x^4+6 x^5)}{e^{12}-3 e^8 x+3 e^4 x^2-x^3} \, dx\) [605]
\(\int \genfrac {}{}{}{}{-40+40 x+e^{2 x} (-16+80 x-40 x^2)}{e^{4 x} (2-10 x+5 x^2)+e^{2 x} (-4+20 x-10 x^2) \log (\genfrac {}{}{}{}{1}{5} (-2+10 x-5 x^2))+(2-10 x+5 x^2) \log ^2(\genfrac {}{}{}{}{1}{5} (-2+10 x-5 x^2))} \, dx\) [606]
\(\int \genfrac {}{}{}{}{-2400 x+1200 x^2+(-3750+1875 x+4800 x^2-1800 x^3) \log (x)+(2400-1200 x+(-6000 x+2400 x^2) \log (x)) \log ((2-x) \log (x))+(1200-600 x) \log (x) \log ^2((2-x) \log (x))}{(-5000 x^2+2500 x^3+3200 x^4-1600 x^5-512 x^6+256 x^7) \log (x)+(-6400 x^3+3200 x^4+2048 x^5-1024 x^6) \log (x) \log ((2-x) \log (x))+(3200 x^2-1600 x^3-3072 x^4+1536 x^5) \log (x) \log ^2((2-x) \log (x))+(2048 x^3-1024 x^4) \log (x) \log ^3((2-x) \log (x))+(-512 x^2+256 x^3) \log (x) \log ^4((2-x) \log (x))} \, dx\) [607]
\(\int \genfrac {}{}{}{}{4 x^2+e^8 (-3+3 x)}{3 e^8 x^2+4 x^3+(3 e^8 x+4 x^2) \log (\genfrac {}{}{}{}{3 e^8+4 x}{x})} \, dx\) [608]
\(\int \genfrac {}{}{}{}{30-75 x+10 x^2-25 x^3+(-55 x-70 x^2+25 x^3) \log (x)+(-10 x+25 x^2+10 x \log (x)) \log (5 x^2)}{(4 x-20 x^2+25 x^3) \log ^2(x)} \, dx\) [609]
\(\int \genfrac {}{}{}{}{e^5 (-12-2 x+2 x^2)+e^5 (1-3 x+2 x^2) \log (1-2 x+x^2) \log (\log (1-2 x+x^2))}{(-1+x) \log (1-2 x+x^2)} \, dx\) [610]
\(\int \genfrac {}{}{}{}{20 x+(50+60 x+16 x^2+(25+40 x+16 x^2) \log (8)) \log (\genfrac {}{}{}{}{-15-12 x}{10+4 x+(5+4 x) \log (8)})}{50+60 x+16 x^2+(25+40 x+16 x^2) \log (8)} \, dx\) [611]
\(\int \genfrac {}{}{}{}{-10-20 x+(-5-10 x-10 x^2) \log (3)+e^x (-20-10 x+(-5-20 x-5 x^2+5 x^3) \log (3))}{x^2+2 x^3+x^4+e^{2 x} (1+2 x+x^2)+e^x (2 x+4 x^2+2 x^3)} \, dx\) [612]
\(\int \genfrac {}{}{}{}{1+e^x x-4 x \log ^2(5)}{x} \, dx\) [613]
\(\int \genfrac {}{}{}{}{9-27 \log (x)}{40 x^4} \, dx\) [614]
\(\int \genfrac {}{}{}{}{-4+4 x^2+e^{\genfrac {}{}{}{}{1}{2} (-12+3 e^{e^x}+6 x)} (6 x+3 e^{e^x+x} x)}{2 e^{\genfrac {}{}{}{}{1}{2} (-12+3 e^{e^x}+6 x)} x+2 x^3-2 x \log (\genfrac {}{}{}{}{4 x^2}{25})} \, dx\) [615]
\(\int (-6750000+e^x+10845000 x-7095600 x^2+2436696 x^3-473040 x^4+52056 x^5-3024 x^6+72 x^7) \, dx\) [616]
\(\int \genfrac {}{}{}{}{(10+e^x (2-2 x)+e^{x^2} (2-4 x^2)+8 \log (2)) \log (\genfrac {}{}{}{}{4 x}{5+e^x+e^{x^2}-3 x+4 \log (2)})}{5 x+e^x x+e^{x^2} x-3 x^2+4 x \log (2)} \, dx\) [617]
\(\int \genfrac {}{}{}{}{-12-21 x+e^{2 x} (-27 x+6 x^2)-3 x \log (x)}{32 x+2 e^{4 x} x+16 x^2+2 x^3+e^{2 x} (16 x+4 x^2)+(16 x+4 e^{2 x} x+4 x^2) \log (x)+2 x \log ^2(x)} \, dx\) [618]
\(\int \genfrac {}{}{}{}{-60+e^{-4+x} (-3+3 x-x^2)}{x^2 \log (\log (4))} \, dx\) [619]
\(\int \genfrac {}{}{}{}{-4 e^{4/x}+2 x-x^2-x \log (3)}{x^2} \, dx\) [620]
\(\int -\genfrac {}{}{}{}{2 \log (5-i \pi -\log (5-\log (\log (2))))}{(e^5-x) \log ^2(e^{10}-2 e^5 x+x^2)} \, dx\) [621]
\(\int \genfrac {}{}{}{}{e^{1-x} (1-x) x+e^{5-x} (1-5 x+e^4 x)-e^{5-x} x \log (x)}{e^{1-x} x^2+e^{5-x} (5 x-e^4 x)+e^{5-x} x \log (x)} \, dx\) [622]
\(\int \genfrac {}{}{}{}{-10+2 e^4-2 x+(5-e^4) \log (x)}{(-5 x+e^4 x-x^2) \log (x)} \, dx\) [623]
\(\int \genfrac {}{}{}{}{-1600+x^3}{x^3} \, dx\) [624]
\(\int e^{-9 x-24 x^3-16 x^5} (40+e^{9 x+24 x^3+16 x^5} (-3-x)+(40+e^{9 x+24 x^3+16 x^5} (-3-2 x)-360 x-2880 x^3-3200 x^5) \log (x)) \, dx\) [625]
\(\int \genfrac {}{}{}{}{x^{\genfrac {}{}{}{}{5 x^2}{15-8 x+6 x^2+(-8+2 x) \log (4)+\log ^2(4)}} (75 x-40 x^2+30 x^3+(-40 x+10 x^2) \log (4)+5 x \log ^2(4)+(150 x-40 x^2+(-80 x+10 x^2) \log (4)+10 x \log ^2(4)) \log (x))}{225-240 x+244 x^2-96 x^3+36 x^4+(-240+188 x-128 x^2+24 x^3) \log (4)+(94-48 x+16 x^2) \log ^2(4)+(-16+4 x) \log ^3(4)+\log ^4(4)} \, dx\) [626]
\(\int \genfrac {}{}{}{}{54-27 x-9 x^2+3 x^3+x^4}{-27 x+3 x^3} \, dx\) [627]
\(\int \genfrac {}{}{}{}{3208 x^2-11212 x^3+12006 x^4-5201 x^5+800 x^6+e^x (-2406+6015 x-6003 x^2+1200 x^3)}{-3200 x^2+4800 x^3-2400 x^4+400 x^5} \, dx\) [628]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{16} (e^9-8 e^5 x+16 e x^2)} (-2-e^5 x+4 e x^2)}{5 x^2} \, dx\) [629]
\(\int (-3-10 x-6 x^2-4 x^3) \, dx\) [630]
\(\int \genfrac {}{}{}{}{-1-x^2-x^3}{x^2+x^3} \, dx\) [631]
\(\int \genfrac {}{}{}{}{-25+25 x+x^2-x^3+(-2 x^3+2 x^2 \log (x)) \log (x-\log (x))}{-x^2+x \log (x)} \, dx\) [632]
\(\int \genfrac {}{}{}{}{(2-6 x^3-4 \log (x \log (4))) \log (\genfrac {}{}{}{}{9 x^2+3 x^3-\log (x \log (4))}{x^2})}{-9 x^3-3 x^4+x \log (x \log (4))} \, dx\) [633]
\(\int \genfrac {}{}{}{}{1}{2} (8-3 x+2 \log (3)) \, dx\) [634]
\(\int \genfrac {}{}{}{}{e^{2 x} ((-32+32 x) \log ^2(6)-96 \log ^3(6))+e^x ((-144 x+144 x^2) \log (6)+(432-864 x) \log ^2(6)+1296 \log ^3(6))}{-x^3+9 x^2 \log (6)-27 x \log ^2(6)+27 \log ^3(6)} \, dx\) [635]
\(\int \genfrac {}{}{}{}{-4+4 x^2+(4-3 x+4 x^2) \log (\genfrac {}{}{}{}{-4+3 x-4 x^2}{2 x})}{4-3 x+4 x^2} \, dx\) [636]
\(\int \genfrac {}{}{}{}{-4+e^4 (12 x^2+4 x^3)}{-4 x+e^4 (4 x^3+x^4)+12 \log (\log (4))} \, dx\) [637]
\(\int \genfrac {}{}{}{}{e^{x+x^2} (9+24 x+13 x^2+2 x^3)+e^{x+x^2} (6+14 x+4 x^2) \log (5 x)+e^{x+x^2} (1+2 x) \log ^2(5 x)+e^{4+e^{\genfrac {}{}{}{}{-13+x+\log (5 x)}{3+x+\log (5 x)}} x+\genfrac {}{}{}{}{-13+x+\log (5 x)}{3+x+\log (5 x)}} (-25-22 x-x^2+(-6-2 x) \log (5 x)-\log ^2(5 x))}{9+6 x+x^2+(6+2 x) \log (5 x)+\log ^2(5 x)} \, dx\) [638]
\(\int \genfrac {}{}{}{}{1}{5} e^{\genfrac {}{}{}{}{1}{5} (5 x+x \log (3))} (-155-75 x+(-16-15 x) \log (3)) \, dx\) [639]
\(\int \genfrac {}{}{}{}{(-10-20 x-10 \log (x)) \log (2 \log (4))}{3 x^4+6 x^3 \log (x)+3 x^2 \log ^2(x)} \, dx\) [640]
\(\int \genfrac {}{}{}{}{14580+24786 x+17010 x^2+5940 x^3+1080 x^4+90 x^5+2 x^6+e^{\genfrac {}{}{}{}{2 (81 x+107 x^2+54 x^3+12 x^4+x^5+e^{2 x} (81 x+108 x^2+54 x^3+12 x^4+x^5))}{81+108 x+54 x^2+12 x^3+x^4}} (12150+19950 x+13600 x^2+4500 x^3+750 x^4+50 x^5+e^{2 x} (12150+44550 x+54000 x^2+31500 x^3+9750 x^4+1550 x^5+100 x^6))+e^{\genfrac {}{}{}{}{81 x+107 x^2+54 x^3+12 x^4+x^5+e^{2 x} (81 x+108 x^2+54 x^3+12 x^4+x^5)}{81+108 x+54 x^2+12 x^3+x^4}} (75330+126180 x+88290 x^2+30620 x^3+5550 x^4+460 x^5+10 x^6+e^{2 x} (72900+269730 x+332910 x^2+199800 x^3+64800 x^4+11250 x^5+910 x^6+20 x^7))}{6075+10125 x+6750 x^2+2250 x^3+375 x^4+25 x^5} \, dx\) [641]
\(\int \genfrac {}{}{}{}{270 x^2-225 x^4}{-32+160 x^2-200 x^4+e (8-40 x^2+50 x^4)} \, dx\) [642]
\(\int \genfrac {}{}{}{}{-5-x^2+(5+3 x^2) \log (x)+e^7 (1-2 x) \log ^2(x)}{e^7 \log ^2(x)} \, dx\) [643]
\(\int \genfrac {}{}{}{}{8-8 x+(-32 x+432 x^2-512 x^3) \log (x)+(8-16 x) \log (x) \log (\log (x))}{\log (x)} \, dx\) [644]
\(\int \genfrac {}{}{}{}{1+5^x x \log (5)}{x} \, dx\) [645]
\(\int \genfrac {}{}{}{}{-50-2 e^{10}+e^5 (20-60 x)+300 x}{81 x^3} \, dx\) [646]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8 x+5 x^2+e^5 (8+4 x)}{x^2}} (e^5 (-16-4 x)-8 x)+x^3}{x^3} \, dx\) [647]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 x}{\log (\log (4))}} (-2000-1200 x^2-240 x^4-16 x^6+(600+240 x^2+24 x^4) \log (x)+(-60-12 x^2) \log ^2(x)+2 \log ^3(x))+(-840 x-210 x^3+(164 x+20 x^3) \log (x)-8 x \log ^2(x)) \log (\log (4))+e^{\genfrac {}{}{}{}{x}{\log (\log (4))}} (-4000-2600 x^2-560 x^4-40 x^6+(1200+520 x^2+56 x^4) \log (x)+(-120-26 x^2) \log ^2(x)+4 \log ^3(x)+(-420 x-84 x^3+(82 x+8 x^3) \log (x)-4 x \log ^2(x)) \log (\log (4)))}{(-1000-600 x^2-120 x^4-8 x^6+(300+120 x^2+12 x^4) \log (x)+(-30-6 x^2) \log ^2(x)+\log ^3(x)) \log (\log (4))} \, dx\) [648]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^2+(2+x^2) \log ^2(x^2)+x \log (e^{4/5} x) \log ^2(x^2)}{x}} (x^2+(8+4 x^2) \log (x^2)+4 x \log (e^{4/5} x) \log (x^2)+(-2+x+x^2) \log ^2(x^2))}{x^2} \, dx\) [649]
\(\int \genfrac {}{}{}{}{e^{-e^x} (e^{e^x} (-4 x+10 x^3)+(2-5 x^2) \log ^2(2-5 x^2)+\log (x) (-20 x^2 \log (2-5 x^2)+e^x (-2 x+5 x^3) \log ^2(2-5 x^2)))}{-2 x+5 x^3} \, dx\) [650]
\(\int \genfrac {}{}{}{}{100+100 x+202 x^2+304 x^3+6 x^4+10 x^5+6 x^6+(200 x+300 x^2+4 x^3+10 x^4+6 x^5) \log (x)+(-102 x-2 x^2-6 x^3-8 x^4+(-100-6 x^2-8 x^3) \log (x)) \log (\genfrac {}{}{}{}{5}{x+\log (x)})+(2 x^2+2 x \log (x)) \log ^2(\genfrac {}{}{}{}{5}{x+\log (x)})}{625 x+625 \log (x)} \, dx\) [651]
\(\int \genfrac {}{}{}{}{1}{3} e^{-x^2} (e^{x^2} (9+9 x^2)+8 x \log (4)) \, dx\) [652]
\(\int \genfrac {}{}{}{}{2-2 e^5-2 x+x^3+e^x x^3}{5 x^3} \, dx\) [653]
\(\int \genfrac {}{}{}{}{36 x^3+24 x^5+4 e^{2 x} x^5+4 x^7+e^x (-24 x^4-8 x^6)+e^{2 x+2 e^{\genfrac {}{}{}{}{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} x^2} (18+12 x^2+2 e^{2 x} x^2+2 x^4+e^x (-12 x-4 x^3)+e^{\genfrac {}{}{}{}{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} (36 x+36 x^3+4 e^{2 x} x^3+4 x^5+e^x (-30 x^2-6 x^3-8 x^4)))+e^{x+e^{\genfrac {}{}{}{}{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} x^2} (-36 x-18 x^2-24 x^3-12 x^4-4 x^5-2 x^6+e^{2 x} (-4 x^3-2 x^4)+e^x (24 x^2+12 x^3+8 x^4+4 x^5)+e^{\genfrac {}{}{}{}{-12+5 e^x x-5 x^2}{-3+e^x x-x^2}} (-36 x^3-36 x^5-4 e^{2 x} x^5-4 x^7+e^x (30 x^4+6 x^5+8 x^6)))}{9+6 x^2+e^{2 x} x^2+x^4+e^x (-6 x-2 x^3)} \, dx\) [654]
\(\int \genfrac {}{}{}{}{59-10 x}{-6+x} \, dx\) [655]
\(\int \genfrac {}{}{}{}{-8+e^3 (4-8 x)+32 x^2+(4-8 x) \log (x^2)}{x} \, dx\) [656]
\(\int \genfrac {}{}{}{}{15+(6 x+2 e^2 x) \log ^2(15)}{(6 x^2+2 e^2 x^2) \log ^2(15)} \, dx\) [657]
\(\int \genfrac {}{}{}{}{e^{2 x} (864+10368 x)+e^{2 x} (72+1728 x) \log (5 x)+72 e^{2 x} x \log ^2(5 x)}{x} \, dx\) [658]
\(\int \genfrac {}{}{}{}{-72 x+144 x^2-108 x^3+10 x^4+15 x^5+(-48 x^2-72 x^3) \log (x)+(-12 x^2+12 x^3-36 x^4) \log ^2(x)+(-8 x^3-12 x^4) \log ^3(x)+(-2 x^4-3 x^5) \log ^4(x)+(72 x+108 x^2-30 x^3-45 x^4+(96 x+144 x^2) \log (x)+(12 x+12 x^2+72 x^3) \log ^2(x)+(24 x^2+36 x^3) \log ^3(x)+(6 x^3+9 x^4) \log ^4(x)) \log (2+3 x)+(30 x^2+45 x^3+(-48-72 x) \log (x)+(-24 x-36 x^2) \log ^2(x)+(-24 x-36 x^2) \log ^3(x)+(-6 x^2-9 x^3) \log ^4(x)) \log ^2(2+3 x)+(-10 x-15 x^2+(8+12 x) \log ^3(x)+(2 x+3 x^2) \log ^4(x)) \log ^3(2+3 x)}{-72 x^2-108 x^3+10 x^4+15 x^5+(-24 x^3-36 x^4) \log ^2(x)+(-2 x^4-3 x^5) \log ^4(x)+(72 x+108 x^2-30 x^3-45 x^4+(48 x^2+72 x^3) \log ^2(x)+(6 x^3+9 x^4) \log ^4(x)) \log (2+3 x)+(30 x^2+45 x^3+(-24 x-36 x^2) \log ^2(x)+(-6 x^2-9 x^3) \log ^4(x)) \log ^2(2+3 x)+(-10 x-15 x^2+(2 x+3 x^2) \log ^4(x)) \log ^3(2+3 x)} \, dx\) [659]
\(\int \genfrac {}{}{}{}{-8+4 e^{6+2 x} x^2}{3 x^2} \, dx\) [660]
\(\int \genfrac {}{}{}{}{(x+x^2-x^3) \log (4+4 x-4 x^2)+\log (-1+x) (-x+3 x^2-2 x^3+(1-2 x^2+x^3) \log (4+4 x-4 x^2))}{(1-2 x^2+x^3) \log ^2(-1+x) \log ^2(4+4 x-4 x^2)} \, dx\) [661]
\(\int \genfrac {}{}{}{}{10240000+e^{2+x} (-73728000 x-36864000 x^2)+e^{4+2 x} (12441600 x^3+6220800 x^4)+e^{6+3 x} (-699840 x^5-349920 x^6)+e^{8+4 x} (13122 x^7+6561 x^8)}{10240000} \, dx\) [662]
\(\int \genfrac {}{}{}{}{4-24 x^2}{-81-4 x+8 x^3} \, dx\) [663]
\(\int \genfrac {}{}{}{}{10 x^2 \log ^3(x)+e^{\genfrac {}{}{}{}{144+72 x+9 x^2+e^4 x^2 \log ^2(x)}{x^2 \log ^2(x)}} (1440+720 x+90 x^2+(1440+360 x) \log (x)-10 x^2 \log ^3(x))}{x^5 \log ^3(x)-2 e^{\genfrac {}{}{}{}{144+72 x+9 x^2+e^4 x^2 \log ^2(x)}{x^2 \log ^2(x)}} x^5 \log ^3(x)+e^{\genfrac {}{}{}{}{2 (144+72 x+9 x^2+e^4 x^2 \log ^2(x))}{x^2 \log ^2(x)}} x^5 \log ^3(x)} \, dx\) [664]
\(\int \genfrac {}{}{}{}{e^{-x} (4-36 x+16 x^2+e (8 x-4 x^2))}{-4+e} \, dx\) [665]
\(\int \genfrac {}{}{}{}{e^x (-15 x^2+5 x^3+x^4-x^5)+e^{x^2} (60 x^2-44 x^4+8 x^6)+(e^x (4 x^3-2 x^4)+e^{x^2} (-16 x^3+16 x^5)) \log (\log (3))}{e^{x+x^2} (-1000+400 x^2-40 x^4)+e^{2 x} (125-50 x^2+5 x^4)+e^{2 x^2} (2000-800 x^2+80 x^4)+(e^{x+x^2} (800 x-160 x^3)+e^{2 x} (-100 x+20 x^3)+e^{2 x^2} (-1600 x+320 x^3)) \log (\log (3))+(20 e^{2 x} x^2+320 e^{2 x^2} x^2-160 e^{x+x^2} x^2) \log ^2(\log (3))} \, dx\) [666]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{16 x-81 x^2-24 e^{\genfrac {}{}{}{}{1}{5} (5 x+\log (5))} x^2+9 e^{\genfrac {}{}{}{}{2}{5} (5 x+\log (5))} x^3}{16-24 e^{\genfrac {}{}{}{}{1}{5} (5 x+\log (5))} x+9 e^{\genfrac {}{}{}{}{2}{5} (5 x+\log (5))} x^2}} (-64+648 x-108 e^{\genfrac {}{}{}{}{2}{5} (5 x+\log (5))} x^2+27 e^{\genfrac {}{}{}{}{3}{5} (5 x+\log (5))} x^3+e^{\genfrac {}{}{}{}{1}{5} (5 x+\log (5))} (144 x+486 x^3))}{-64+144 e^{\genfrac {}{}{}{}{1}{5} (5 x+\log (5))} x-108 e^{\genfrac {}{}{}{}{2}{5} (5 x+\log (5))} x^2+27 e^{\genfrac {}{}{}{}{3}{5} (5 x+\log (5))} x^3} \, dx\) [667]
\(\int \genfrac {}{}{}{}{4 e^{2 e^{2/x}+\genfrac {}{}{}{}{2}{x}}+2 x^2+e^{x+x^2} (x^2+2 x^3)}{x^2} \, dx\) [668]
\(\int \genfrac {}{}{}{}{e^{5+e^{\genfrac {}{}{}{}{3 x}{5+e^2+2 x}}-x} (25+e^4 (1-x)-5 x-16 x^2-4 x^3+e^{\genfrac {}{}{}{}{3 x}{5+e^2+2 x}} (15 x+3 e^2 x)+e^2 (10-6 x-4 x^2))}{25+e^4+20 x+4 x^2+e^2 (10+4 x)} \, dx\) [669]
\(\int \genfrac {}{}{}{}{1}{4} (e^{\genfrac {}{}{}{}{1}{4} (16-e^{e^x}-4 x)} (-4-e^{e^x+x})+e^{e+27 x-2 x^2} (-108+16 x)) \, dx\) [670]
\(\int \genfrac {}{}{}{}{2 e \log (2)+(-4 e \log (2)+2 e x \log (2) \log (3)) \log (x)+(e \log (2)-e x \log (2) \log (3)) \log ^2(x)}{4 3^x \log ^2(x)-4 3^x \log ^3(x)+3^x \log ^4(x)} \, dx\) [671]
\(\int \genfrac {}{}{}{}{75-53 x+148 x^2+6 x^3}{75 x+3 x^2} \, dx\) [672]
\(\int (11+24 e^{2 x}+e^x (-48+12 x)) \, dx\) [673]
\(\int \genfrac {}{}{}{}{-62208+373392 x^2-1728 x^4+2 x^6+(62208-432 x^2) \log (x)}{186624 x^2-864 x^4+x^6} \, dx\) [674]
\(\int \genfrac {}{}{}{}{1}{36} e^{1+e^{\genfrac {}{}{}{}{1}{36} (-108-36 e^x+x)}+e^{1+e^{\genfrac {}{}{}{}{1}{36} (-108-36 e^x+x)}} x} (-36+e^{\genfrac {}{}{}{}{1}{36} (-108-36 e^x+x)} (-x+36 e^x x)) \, dx\) [675]
\(\int \genfrac {}{}{}{}{1}{3} e^{-2 x} x^{2 x} (96 x+(-9 x^2+4 x^3) \log (4)+(96 x^2+(-6 x^3+2 x^4) \log (4)) \log (x)) \, dx\) [676]
\(\int \genfrac {}{}{}{}{8 x^3+4 e x^3+4 x^4+e^2 x^4+e^2 (8 x^3+4 e x^3+4 x^4) \log (e^3 (2+e+x))}{2+e+x} \, dx\) [677]
\(\int \genfrac {}{}{}{}{-3+e^x x^2+e^{72 \log ^2(3 x)} (-1+144 \log (3 x))}{2 x^2} \, dx\) [678]
\(\int \genfrac {}{}{}{}{20-18 \log (9)+4 \log ^2(9)+e^{4+50 x^2} \log ^2(9)+e^{25 x^2} (e^2 (-9-50 x^2) \log (9)+4 e^2 \log ^2(9))}{25-20 \log (9)+4 \log ^2(9)+e^{4+50 x^2} \log ^2(9)+e^{25 x^2} (-10 e^2 \log (9)+4 e^2 \log ^2(9))} \, dx\) [679]
\(\int \genfrac {}{}{}{}{612-657 x+162 x^2+(108-54 x) \log (2-x)}{-578 x^3+697 x^4-276 x^5+36 x^6+(-204 x^3+174 x^4-36 x^5) \log (2-x)+(-18 x^3+9 x^4) \log ^2(2-x)} \, dx\) [680]
\(\int \genfrac {}{}{}{}{e^{2 x^2} (-96 x^2+24 x^3-24 e^x x^4)+e^{4 x^2} (-32 x^2+8 x^3-8 e^x x^4)+e^{x^2} (32 x^2-8 x^3+8 e^x x^4)+e^{3 x^2} (96 x^2-24 x^3+24 e^x x^4)+(20-30 x+5 x^2+15 e^x x^2+e^{x^2} (-16+24 x-4 x^2-12 e^x x^2)+e^{3 x^2} (-16+24 x-4 x^2-12 e^x x^2)+e^{4 x^2} (4-6 x+x^2+3 e^x x^2)+e^{2 x^2} (24-36 x+6 x^2+18 e^x x^2)) \log (5-4 e^{x^2}+6 e^{2 x^2}-4 e^{3 x^2}+e^{4 x^2})+(-5 e^x+4 e^{x+x^2}-6 e^{x+2 x^2}+4 e^{x+3 x^2}-e^{x+4 x^2}) \log ^2(5-4 e^{x^2}+6 e^{2 x^2}-4 e^{3 x^2}+e^{4 x^2})}{(5 e^x-4 e^{x+x^2}+6 e^{x+2 x^2}-4 e^{x+3 x^2}+e^{x+4 x^2}) \log ^2(5-4 e^{x^2}+6 e^{2 x^2}-4 e^{3 x^2}+e^{4 x^2})} \, dx\) [681]
\(\int -\genfrac {}{}{}{}{1}{x} \, dx\) [682]
\(\int \genfrac {}{}{}{}{-11552 x^3-4864 x^3 \log (x^2)-512 x^3 \log ^2(x^2)+e^{-\genfrac {}{}{}{}{1}{19+4 \log (x^2)}} (-353-152 \log (x^2)-16 \log ^2(x^2))}{361 x^2+152 x^2 \log (x^2)+16 x^2 \log ^2(x^2)} \, dx\) [683]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-1+125 x-25 x^2}{25+5 x}} (626-250 x-25 x^2)+e^x (-125-175 x-55 x^2-5 x^3)}{125+50 x+5 x^2} \, dx\) [684]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{2}{\log (4-x)}} (40 x^2+40 x^3+10 x^4+e^{\genfrac {}{}{}{}{8}{2+x}+\genfrac {}{}{}{}{2}{\log (4-x)}} (-32+8 x) \log ^2(4-x)+(-160 x-120 x^2+10 x^4) \log ^2(4-x))}{(-16-12 x+x^3) \log ^2(4-x)} \, dx\) [685]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-27 x^4+x^5}{-x^4+(-108+4 x) \log (2)}} (x^8-x^9+(11880 x^4-872 x^5+16 x^6) \log (2)+(11664-864 x+16 x^2) \log ^2(2))}{x^8+(216 x^4-8 x^5) \log (2)+(11664-864 x+16 x^2) \log ^2(2)} \, dx\) [686]
\(\int \genfrac {}{}{}{}{-15 x \log (3)+5 x \log (3) \log (x)+(5+5 x) \log (3) \log (1+x)}{(288 x+288 x^2+(-192 x-192 x^2) \log (x)+(32 x+32 x^2) \log ^2(x)) \log ^2(1+x)} \, dx\) [687]
\(\int (1-e^3+20 x+75 x^2) \, dx\) [688]
\(\int \genfrac {}{}{}{}{4 x^4+24 x^5-24 x^6+(-8 x^3-48 x^4+48 x^5) \log (4)+(4 x^2+24 x^3-24 x^4) \log ^2(4)+e^x (-12 x^2-20 x^3+(8 x+20 x^2) \log (4))+(-8 x^4+8 x^5+(16 x^3-16 x^4) \log (4)+(-8 x^2+8 x^3) \log ^2(4)+e^x (8 x^2-8 x \log (4))) \log (\genfrac {}{}{}{}{e^x-x^2+x^3+(x-x^2) \log (4)}{-x+\log (4)})}{5 x^3-5 x^4+(-10 x^2+10 x^3) \log (4)+(5 x-5 x^2) \log ^2(4)+e^x (-5 x+5 \log (4))} \, dx\) [689]
\(\int \genfrac {}{}{}{}{248+398 x+216 x^2+24 x^3+(2120+830 x+180 x^2) \log (x)+(1350+450 x) \log ^2(x)+375 \log ^3(x)}{216+216 x+72 x^2+8 x^3+(540+360 x+60 x^2) \log (x)+(450+150 x) \log ^2(x)+125 \log ^3(x)} \, dx\) [690]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2 e^{5+2 x^2}-2 e^5 x+x^2}{e^{2 x^2}-x}} (-x^2+e^{2 x^2} (2 x-4 x^3))}{e^{4 x^2}-2 e^{2 x^2} x+x^2} \, dx\) [691]
\(\int \genfrac {}{}{}{}{1}{64} e^{20+\genfrac {}{}{}{}{1}{256} e^{20+4 x+4 x^{12 x}}+4 x+4 x^{12 x}} (1+x^{12 x} (12+12 \log (x))) \, dx\) [692]
\(\int \genfrac {}{}{}{}{6 x-e^5 x+6 x^2-5 x^3-2 x^4-x \log (\genfrac {}{}{}{}{1}{x^2})+(6+2 x+e^5 (3+x)+(3+x) \log (\genfrac {}{}{}{}{1}{x^2})) \log (\genfrac {}{}{}{}{3+x}{2})}{3 x^2+x^3} \, dx\) [693]
\(\int \genfrac {}{}{}{}{e^{-e^2} (-16+81 x^2)}{64 x^2} \, dx\) [694]
\(\int \genfrac {}{}{}{}{e^{52+10 x^2+8 \log ^2(x)-2 \log ^4(x)} (5 x^2+4 \log (x)-2 \log ^3(x))+e^{26+5 x^2+4 \log ^2(x)-\log ^4(x)} (-20 x^2-16 \log (x)+8 \log ^3(x))}{4 x} \, dx\) [695]
\(\int \genfrac {}{}{}{}{-4 x-2 x^2+6 x^3-2 x^4+\genfrac {}{}{}{}{e^x x^2 (2+x+3 x^2-x^3)}{1+2 x-x^2-2 x^3+x^4}}{-4 x-4 x^2+4 x^3} \, dx\) [696]
\(\int -\genfrac {}{}{}{}{e^{5-\genfrac {}{}{}{}{e^5 (3 x-\genfrac {}{}{}{}{(-15+3 x) \log (3+\log (x))}{e^5})}{\log (3+\log (x))}} (-3+(9+3 \log (x)) \log (3+\log (x))-\genfrac {}{}{}{}{(9+3 \log (x)) \log ^2(3+\log (x))}{e^5})}{(3+\log (x)) \log ^2(3+\log (x))} \, dx\) [697]
\(\int \genfrac {}{}{}{}{1024 x+3584 x^2+5376 x^3+4480 x^4+2240 x^5+672 x^6+112 x^7+8 x^8+e^2 (1024+3584 x+5376 x^2+4480 x^3+2240 x^4+672 x^5+112 x^6+8 x^7)+(e^4 (3584+10752 x+13440 x^2+8960 x^3+3360 x^4+672 x^5+56 x^6)+e^2 (3584 x+10752 x^2+13440 x^3+8960 x^4+3360 x^5+672 x^6+56 x^7)) \log (2 x)+(e^6 (5376+13440 x+13440 x^2+6720 x^3+1680 x^4+168 x^5)+e^4 (5376 x+13440 x^2+13440 x^3+6720 x^4+1680 x^5+168 x^6)) \log ^2(2 x)+(e^8 (4480+8960 x+6720 x^2+2240 x^3+280 x^4)+e^6 (4480 x+8960 x^2+6720 x^3+2240 x^4+280 x^5)) \log ^3(2 x)+(e^{10} (2240+3360 x+1680 x^2+280 x^3)+e^8 (2240 x+3360 x^2+1680 x^3+280 x^4)) \log ^4(2 x)+(e^{12} (672+672 x+168 x^2)+e^{10} (672 x+672 x^2+168 x^3)) \log ^5(2 x)+(e^{14} (112+56 x)+e^{12} (112 x+56 x^2)) \log ^6(2 x)+(8 e^{16}+8 e^{14} x) \log ^7(2 x)}{x} \, dx\) [698]
\(\int \genfrac {}{}{}{}{16-48 \log (\genfrac {}{}{}{}{-32-7 x}{4+x})+48 \log ^2(\genfrac {}{}{}{}{-32-7 x}{4+x})-16 \log ^3(\genfrac {}{}{}{}{-32-7 x}{4+x})}{128+60 x+7 x^2} \, dx\) [699]
\(\int \genfrac {}{}{}{}{(e^3 (-4 x^3+4 x^4)+e^6 (2 x^3-6 x^4+4 x^5)) \log (\genfrac {}{}{}{}{-1-2 e^3 x+e^6 (x-x^2)}{e^6})+(-3 x^2+2 x^3+e^3 (-6 x^3+4 x^4)+e^6 (3 x^3-5 x^4+2 x^5)) \log ^2(\genfrac {}{}{}{}{-1-2 e^3 x+e^6 (x-x^2)}{e^6})}{20-40 x+20 x^2+e^3 (40 x-80 x^2+40 x^3)+e^6 (-20 x+60 x^2-60 x^3+20 x^4)} \, dx\) [700]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]