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3.36
Integrals 3501 to 3600
\(\int -72 e^{135-9 x^2} x \, dx\) [3501]
\(\int \genfrac {}{}{}{}{-2-2 x-2 x^2-x^3+(x+x^2) \log (\genfrac {}{}{}{}{4+4 x}{x^2})}{-x^2-x^3+(x+x^2) \log (\genfrac {}{}{}{}{4+4 x}{x^2})} \, dx\) [3502]
\(\int \genfrac {}{}{}{}{-1-x^2}{x^2} \, dx\) [3503]
\(\int \genfrac {}{}{}{}{-4-e^{3+x}+36 e^{3+e^{18 x^2}+18 x^2} x}{e^3} \, dx\) [3504]
\(\int \genfrac {}{}{}{}{e^{x+\log ^4(\genfrac {}{}{}{}{e^x}{10})} (-1+x+4 x \log ^3(\genfrac {}{}{}{}{e^x}{10}))}{x^2} \, dx\) [3505]
\(\int (-60-42 x+126 x^2-84 x^3) \, dx\) [3506]
\(\int \genfrac {}{}{}{}{-20 e^{3 x}-5 e^{2 e^4+x}+20 e^{e^4+2 x}+2 e^x \log (\genfrac {}{}{}{}{4}{3})}{5 e^{2 e^4}+20 e^{2 x}-20 e^{e^4+x}} \, dx\) [3507]
\(\int \genfrac {}{}{}{}{2+e^{e^{\genfrac {}{}{}{}{-60+e^4}{e^4}}} x^2+e^x x^2}{x^2} \, dx\) [3508]
\(\int \genfrac {}{}{}{}{-4800+e^{4 x} (-3-12 x)-7680 x-1584 x^2+384 x^3-15 x^4+(-3840 x-2304 x^2+192 x^3) \log (2)+(3840+3072 x-864 x^2) \log ^2(2)+1536 x \log ^3(2)-768 \log ^4(2)+e^{3 x} (24 x+36 x^2+(-48-144 x) \log (2))+e^{2 x} (240+672 x+138 x^2-36 x^3+(288 x+288 x^2) \log (2)+(-288-576 x) \log ^2(2))+e^x (-960 x-1056 x^2-144 x^3+12 x^4+(1920+3456 x+336 x^2-144 x^3) \log (2)+(1152 x+576 x^2) \log ^2(2)+(-768-768 x) \log ^3(2))}{4096} \, dx\) [3509]
\(\int \genfrac {}{}{}{}{1}{5} (5 e^x+e^{\genfrac {}{}{}{}{1}{5} (-55-5 e^5+x)} (-10-2 x)) \, dx\) [3510]
\(\int \genfrac {}{}{}{}{e^{-2+e^x+\genfrac {}{}{}{}{x^3}{27+9 x}} (9 x^2+2 x^3+e^x (81+54 x+9 x^2))}{81+54 x+9 x^2} \, dx\) [3511]
\(\int \genfrac {}{}{}{}{6-2 x^3+(3 x^2-2 x^3) \log (2)+x^2 \log (7)}{x^2} \, dx\) [3512]
\(\int \genfrac {}{}{}{}{-40+5 x+4 x^2}{8+2 x} \, dx\) [3513]
\(\int \genfrac {}{}{}{}{-64-32 x^2-4 x^4+(-80 x+64 x^2-20 x^3+16 x^4) \log (5-4 x)}{(-5+4 x) \log ^2(5-4 x)} \, dx\) [3514]
\(\int \genfrac {}{}{}{}{-4+32 x+8 e^3 x-8 x \log (5)-8 x \log (x)}{x^2} \, dx\) [3515]
\(\int (-11-72 x-144 x^2-96 x^3-20 x^4-\log (x^2)) \, dx\) [3516]
\(\int \genfrac {}{}{}{}{14+15 e^{2 x}+e^x (29+x)}{1+2 e^x+e^{2 x}} \, dx\) [3517]
\(\int \genfrac {}{}{}{}{-162 x^4+50 e x^4-246 x^5-4 x^6+e^9 (2 x-50 e x+306 x^2+4 x^3)+e^6 (54 x^2+150 e x^2-838 x^3-12 x^4)+e^3 (306 x^3-150 e x^3+778 x^4+12 x^5)}{25 e^9-75 e^6 x+75 e^3 x^2-25 x^3} \, dx\) [3518]
\(\int \genfrac {}{}{}{}{241+8 e^x+12 x+4 x^2}{948+16 e^x+16 x+16 x^2} \, dx\) [3519]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{x}} (-104 x+26 x^2-2 x^4+2 x^5+(-52 x-x^4) \log (3))+e^{\genfrac {}{}{}{}{1}{x}} (52-26 x-2 x^3+x^4+(26-x^3) \log (3)) \log (\genfrac {}{}{}{}{52-26 x-2 x^3+x^4+(26-x^3) \log (3)}{x^2})}{(-52 x^2+26 x^3+2 x^5-x^6+(-26 x^2+x^5) \log (3)) \log ^2(\genfrac {}{}{}{}{52-26 x-2 x^3+x^4+(26-x^3) \log (3)}{x^2})} \, dx\) [3520]
\(\int \genfrac {}{}{}{}{16 x^3+20 x^4+6 x^5-56 x^6-64 x^7-18 x^8+40 x^9+44 x^{10}+12 x^{11}}{4+\log (4)} \, dx\) [3521]
\(\int \genfrac {}{}{}{}{1}{4} (1+e^6 (4-4 x)) \, dx\) [3522]
\(\int \genfrac {}{}{}{}{15 x+e^3 (1+10 x-5 x^2)+(3 x+e^3 (2 x-x^2)) \log (x)+(5 e^3 x+e^3 x \log (x)) \log (5+\log (x))}{15 x+e^3 (15 x-5 x^2)+(3 x+e^3 (3 x-x^2)) \log (x)+(5 e^3 x+e^3 x \log (x)) \log (5+\log (x))} \, dx\) [3523]
\(\int \genfrac {}{}{}{}{e^{5 x} (-128-512 x-192 x^2)+e^{4 x} (-3072 x-5376 x^2-1536 x^3)+e^{2 x} (2304 x+6336 x^2-52224 x^3-34560 x^4)+e^{3 x} (192+896 x-20000 x^2-20608 x^3-3456 x^4)+e^x (-72-128 x+4804 x^2+10848 x^3-49184 x^4-21888 x^5+5184 x^6)}{324 x^2+900 x^3-13487 x^4-47536 x^5+197808 x^6+770240 x^7-1139360 x^8-4591872 x^9+3297024 x^{10}+5971968 x^{11}+1679616 x^{12}+e^{8 x} (1024 x^2+1024 x^3+256 x^4)+e^{7 x} (24576 x^3+24576 x^4+6144 x^5)+e^{6 x} (-3072 x^2-7168 x^3+253184 x^4+257024 x^5+64512 x^6)+e^{5 x} (-55296 x^3-129024 x^4+1460736 x^5+1529856 x^6+387072 x^7)+e^{4 x} (3456 x^2+10624 x^3-400544 x^4-959744 x^5+5150976 x^6+5667840 x^7+1451520 x^8)+e^{3 x} (41472 x^3+127488 x^4-1488768 x^5-3775488 x^6+11326464 x^7+13381632 x^8+3483648 x^9)+e^{2 x} (-1728 x^2-5568 x^3+177232 x^4+563520 x^5-2972352 x^6-8281600 x^7+15075072 x^8+19657728 x^9+5225472 x^{10})+e^x (-10368 x^3-33408 x^4+316896 x^5+1086336 x^6-2980224 x^7-9600000 x^8+10990080 x^9+16422912 x^{10}+4478976 x^{11})} \, dx\) [3524]
\(\int \genfrac {}{}{}{}{e^{e^{-\genfrac {}{}{}{}{2 x}{3+e^{\genfrac {}{}{}{}{3-3 x}{x^2}}}} x+x^2} (18 x^2+12 e^{\genfrac {}{}{}{}{3-3 x}{x^2}} x^2+2 e^{\genfrac {}{}{}{}{2 (3-3 x)}{x^2}} x^2+e^{-\genfrac {}{}{}{}{2 x}{3+e^{\genfrac {}{}{}{}{3-3 x}{x^2}}}} (9 x+e^{\genfrac {}{}{}{}{2 (3-3 x)}{x^2}} x-6 x^2+e^{\genfrac {}{}{}{}{3-3 x}{x^2}} (-12+12 x-2 x^2)))}{9 x+6 e^{\genfrac {}{}{}{}{3-3 x}{x^2}} x+e^{\genfrac {}{}{}{}{2 (3-3 x)}{x^2}} x} \, dx\) [3525]
\(\int \genfrac {}{}{}{}{7 e^3-7 e^{x^2}+e^{x^2} (7-14 x^2) \log (x)}{5 e^6+10 e^3 x+5 x^2+e^{x^2} (10 e^3+10 x) \log (x)+5 e^{2 x^2} \log ^2(x)} \, dx\) [3526]
\(\int \genfrac {}{}{}{}{-1+2 x-e^2 x^2+e^{2+\genfrac {}{}{}{}{2}{x}} (2-2 x-x^2)+e^x (2 x^3-3 x^4+x^6)}{x^2-2 x^3+x^4} \, dx\) [3527]
\(\int \genfrac {}{}{}{}{1}{3} (1-3 e^{5+x}) \, dx\) [3528]
\(\int \genfrac {}{}{}{}{e^{-2+x} (20+10 e^{2-x}-20 x+15 x^2+15 x^3+(10 x^3+5 x^4) \log (3)-10 e^{2-x} \log (x))}{2 x^2} \, dx\) [3529]
\(\int \genfrac {}{}{}{}{-16-2 x^2+8 x^3+8 e^5 x^3+8 x^5}{x^2} \, dx\) [3530]
\(\int (1-4 x+(1-4 x) \log (\genfrac {}{}{}{}{e}{625})+(1+\log (\genfrac {}{}{}{}{e}{625})) \log (\log (2))) \, dx\) [3531]
\(\int \genfrac {}{}{}{}{1}{5+\log (5)} \, dx\) [3532]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{92416-184832 x^2-92416 x^3+138624 x^4+138624 x^5-11552 x^6-69312 x^7-28880 x^8+5776 x^9+8664 x^{10}+2888 x^{11}+361 x^{12}+e (-9728+19456 x^2+9728 x^3-14592 x^4-14592 x^5+1216 x^6+7296 x^7+3040 x^8-608 x^9-912 x^{10}-304 x^{11}-38 x^{12})+e^2 (256-512 x^2-256 x^3+384 x^4+384 x^5-32 x^6-192 x^7-80 x^8+16 x^9+24 x^{10}+8 x^{11}+x^{12})}{x^4}} (-369664+369664 x^2+92416 x^3+138624 x^5-23104 x^6-207936 x^7-115520 x^8+28880 x^9+51984 x^{10}+20216 x^{11}+2888 x^{12}+e (38912-38912 x^2-9728 x^3-14592 x^5+2432 x^6+21888 x^7+12160 x^8-3040 x^9-5472 x^{10}-2128 x^{11}-304 x^{12})+e^2 (-1024+1024 x^2+256 x^3+384 x^5-64 x^6-576 x^7-320 x^8+80 x^9+144 x^{10}+56 x^{11}+8 x^{12}))}{x^5} \, dx\) [3533]
\(\int \genfrac {}{}{}{}{-125 x-200 x^2-90 x^3-16 x^4-x^5+(-50 x-20 x^2-2 x^3) \log (4)+e^x (-625-1000 x-450 x^2-80 x^3-5 x^4+(-250 x-100 x^2-10 x^3) \log (4))+(e^x (125+100 x+15 x^2) \log (4)+(25 x+20 x^2+3 x^3) \log (4)) \log (\genfrac {}{}{}{}{1}{5} (5 e^x+x))}{-40500 x+97200 x^2-53460 x^3-18144 x^4+10692 x^5+3888 x^6+324 x^7+e^x (-202500+486000 x-267300 x^2-90720 x^3+53460 x^4+19440 x^5+1620 x^6)+(e^x (121500-194400 x+29160 x^2+38880 x^3+4860 x^4) \log (4)+(24300 x-38880 x^2+5832 x^3+7776 x^4+972 x^5) \log (4)) \log (\genfrac {}{}{}{}{1}{5} (5 e^x+x))+(e^x (-24300+19440 x+4860 x^2) \log ^2(4)+(-4860 x+3888 x^2+972 x^3) \log ^2(4)) \log ^2(\genfrac {}{}{}{}{1}{5} (5 e^x+x))+(1620 e^x \log ^3(4)+324 x \log ^3(4)) \log ^3(\genfrac {}{}{}{}{1}{5} (5 e^x+x))} \, dx\) [3534]
\(\int \genfrac {}{}{}{}{-e^{360 x^2-120 x^3+10 x^4} x+(e^{360 x^2-120 x^3+10 x^4} (-4+2 x-2880 x^2+2880 x^3-880 x^4+80 x^5)+e^{360 x^2-120 x^3+10 x^4} (-2+x-1440 x^2+1440 x^3-440 x^4+40 x^5) \log (2-x)) \log (2+\log (2-x))}{(-4+2 x+(-2+x) \log (2-x)) \log ^2(2+\log (2-x))} \, dx\) [3535]
\(\int \genfrac {}{}{}{}{e^{-3+e^{4+x+e^5 (4+x)}} (2 x^2 \log (1-x)+(-2 x+2 x^2+e^{4+x+e^5 (4+x)} (-x^2+x^3+e^5 (-x^2+x^3))) \log ^2(1-x))}{-1+x} \, dx\) [3536]
\(\int (4 e^{e^x+x}-2 x) \, dx\) [3537]
\(\int \genfrac {}{}{}{}{4 x^5+(-4 x^3-2 x^5) \log (4+4 x^2+x^4)+(-6-3 x^2) \log ^2(4+4 x^2+x^4)}{(-2 x^4-x^6) \log (4+4 x^2+x^4)+(6 x-2 x^2+3 x^3-x^4+(2 x^2+x^4) \log (5)) \log ^2(4+4 x^2+x^4)} \, dx\) [3538]
\(\int \genfrac {}{}{}{}{e^{-x^2} x (2 x^2+e^{2+2 e^{e^3}} (-2+2 x^2)+e^2 (-8+6 x^2+2 x^4)+e^{e^{e^3}} (-2 x+e^2 (4 x-4 x^3)))+e^{-x^2} x (8-6 x^2-2 x^4+e^{2 e^{e^3}} (2-2 x^2)+e^{e^{e^3}} (-4 x+4 x^3)) \log (4+e^{2 e^{e^3}}-2 e^{e^{e^3}} x+x^2)}{4+e^{2 e^{e^3}}-2 e^{e^{e^3}} x+x^2} \, dx\) [3539]
\(\int \genfrac {}{}{}{}{-2+15 x-8 x^2+(1-6 x+3 x^2) \log (x)}{(-3 x+9 x^2-3 x^3+(x-3 x^2+x^3) \log (x)) \log (-54 x+162 x^2-54 x^3+(18 x-54 x^2+18 x^3) \log (4)+(18 x-54 x^2+18 x^3+(-6 x+18 x^2-6 x^3) \log (4)) \log (x))} \, dx\) [3540]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{625}{25 x^3-10 x^4+x^5}} (-9375+3125 x)+e^x (125 x^2-200 x^3+90 x^4-16 x^5+x^6)}{-125 x^4+75 x^5-15 x^6+x^7} \, dx\) [3541]
\(\int \genfrac {}{}{}{}{e^x (-1-x)-3 x^2+(e^x x+x^3) \log (e^x x+x^3) \log ^2(\log (e^x x+x^3))}{(e^x x+x^3) \log (e^x x+x^3) \log ^2(\log (e^x x+x^3))} \, dx\) [3542]
\(\int \genfrac {}{}{}{}{2 x^2-4 x^3+(-16 x+4 e^4 x-4 x^2+4 x^3) \log (-4+e^4-x+x^2)}{-4 x^4+e^4 x^4-x^5+x^6+(16 x^2-4 e^4 x^2+4 x^3-4 x^4) \log (-4+e^4-x+x^2)+(-16+4 e^4-4 x+4 x^2) \log ^2(-4+e^4-x+x^2)} \, dx\) [3543]
\(\int \genfrac {}{}{}{}{-8 x-32 x^2-16 x^3+(2-12 x-62 x^2-32 x^3) \log (2)}{(x+2 x^2+x^3) \log (2)} \, dx\) [3544]
\(\int \genfrac {}{}{}{}{4-x+x^2+(4 x^2-x^3) \log (5)+(-8 x+2 x^2) \log (-4+x)}{-4+x} \, dx\) [3545]
\(\int \genfrac {}{}{}{}{e^{3-e^{\log ^2(5)}} (10 x+4 x^2+2 x^3+(2+2 x-2 x^2-2 x^3) \log (1-x^2))}{-25-20 x+11 x^2+16 x^3+13 x^4+4 x^5+x^6} \, dx\) [3546]
\(\int \genfrac {}{}{}{}{e^{81 x^2+216 x^2 \log (-e^{-4+x}+x^2-\log (x))+144 x^2 \log ^2(-e^{-4+x}+x^2-\log (x))} (216 x-594 x^3+e^{-4+x} (162 x+216 x^2)+162 x \log (x)+(288 x-1008 x^3+e^{-4+x} (432 x+288 x^2)+432 x \log (x)) \log (-e^{-4+x}+x^2-\log (x))+(288 e^{-4+x} x-288 x^3+288 x \log (x)) \log ^2(-e^{-4+x}+x^2-\log (x)))}{e^{-4+x}-x^2+\log (x)} \, dx\) [3547]
\(\int e^{\genfrac {}{}{}{}{4-12 \log (3)+e^{2 e^{3+x}} \log ^2(3)+e^{e^{3+x}} (-4+2 x-2 x^2) \log ^2(3)+(13-4 x+5 x^2-2 x^3+x^4) \log ^2(3)}{\log ^2(3)}} (-4+2 e^{3+2 e^{3+x}+x}+10 x-6 x^2+4 x^3+e^{e^{3+x}} (2-4 x+e^{3+x} (-4+2 x-2 x^2))) \, dx\) [3548]
\(\int \genfrac {}{}{}{}{1+e^4+e^9 (-640+752 x-288 x^2+36 x^3)}{e^4} \, dx\) [3549]
\(\int \genfrac {}{}{}{}{-x^2+e^{\genfrac {}{}{}{}{1-2 x+2 x^2}{x}} (-1+2 x^2)}{e^2 x^2} \, dx\) [3550]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{2563093129+2096362816 x+688675888 x^2+115651112 x^3+10505414 x^4+513920 x^5+13600 x^6+184 x^7+x^8}{1+4 x+6 x^2+4 x^3+x^4}} (-8156009700-4911736672 x-1030398440 x^2-73629456 x^3+2569600 x^4+595520 x^5+28488 x^6+560 x^7+4 x^8)}{1+5 x+10 x^2+10 x^3+5 x^4+x^5} \, dx\) [3551]
\(\int \genfrac {}{}{}{}{e^2 (-1+x)-4 x^2+2 e^x x^2+3 x^3+x^4-x^2 \log (25)}{e^2 x-5 x^2+e^x x^2+x^3+x^4-x^2 \log (25)} \, dx\) [3552]
\(\int \genfrac {}{}{}{}{-3 e^2 x^2-6 e x^3-3 x^4+(16 e+2 e^2 (-8 e-12 x)+24 x) \log ^2(x)}{(e^2 x^3+2 e x^4+x^5) \log ^2(x)} \, dx\) [3553]
\(\int \genfrac {}{}{}{}{640+2 e^{2 e^{e^x}+e^x+x}}{-256+e^{2 e^{e^x}}+640 x} \, dx\) [3554]
\(\int \genfrac {}{}{}{}{-144 x+(431+144 x+144 \log (2)) \log (\genfrac {}{}{}{}{1}{9} (431+144 x+144 \log (2)))}{(431+144 x+144 \log (2)) \log ^2(\genfrac {}{}{}{}{1}{9} (431+144 x+144 \log (2)))} \, dx\) [3555]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{-4+3 e^x (-2+x)+2 x-x^2}{2+3 e^x}} (-20+20 x-20 x^2+9 e^{2 x} (-5+5 x)+3 e^x (-20+20 x-10 x^2+5 x^3))}{8 x^2+24 e^x x^2+18 e^{2 x} x^2} \, dx\) [3556]
\(\int \genfrac {}{}{}{}{2+5 x-2 e^x x}{x} \, dx\) [3557]
\(\int (311700512 x+46515384 x^2-60477948 x^3-3731570 x^4+2321298 x^5-8694 x^6+8 x^7+e^x (32 x+40 x^2+12 x^3+x^4)+e^{x/2} (-199744 x-139744 x^2-64 x^3+8033 x^4+605 x^5-x^6)) \, dx\) [3558]
\(\int \genfrac {}{}{}{}{e^{e^5} (4 x^2-4 x^4)+(e^{e^5} (-8 x^2+2 x^4+e^5 (-8+2 x^2))+e^{e^5} (-24+6 x^2) \log (\genfrac {}{}{}{}{1}{2} (-4+x^2))) \log (e^5+x^2+3 \log (\genfrac {}{}{}{}{1}{2} (-4+x^2)))}{(-4 x^2+x^4+e^5 (-4+x^2)+(-12+3 x^2) \log (\genfrac {}{}{}{}{1}{2} (-4+x^2))) \log ^2(e^5+x^2+3 \log (\genfrac {}{}{}{}{1}{2} (-4+x^2)))} \, dx\) [3559]
\(\int \genfrac {}{}{}{}{8 x+(12 x-8 x \log (x)) \log (\log (x))-24 x \log (x) \log ^2(\log (x))+(-18-36 x) \log (x) \log ^3(\log (x))}{9 \log (x) \log ^3(\log (x))} \, dx\) [3560]
\(\int \genfrac {}{}{}{}{x^2+12 x^3+(-12 x+2 x^2+24 x^3) \log (x)+(-1-12 x) \log (\genfrac {}{}{}{}{1}{3} (1+12 x))}{3 x+36 x^2} \, dx\) [3561]
\(\int \genfrac {}{}{}{}{4 e}{x^3} \, dx\) [3562]
\(\int \genfrac {}{}{}{}{2 e^{2+2 x} x^3+10 x \log (2)-200 \log ^2(2)+e^{1+x} (-x^3+(-20 x+20 x^2) \log (2))}{x^3} \, dx\) [3563]
\(\int (4+6 x^2+\log (x)) \, dx\) [3564]
\(\int \genfrac {}{}{}{}{(4+4 x) \log (1+x)+(-4-8 x) \log ^2(1+x)+\log (3 x) (-4 x+(4+8 x) \log (1+x))}{(x+x^2) \log (3 x) \log (1+x)+(-x-x^2) \log ^2(1+x)} \, dx\) [3565]
\(\int \genfrac {}{}{}{}{(10 x+10 x \log (4)+(20+20 \log (4)) \log (x)) \log (x+\log ^2(x))+(-5 x-5 x \log (4)+(-5-5 \log (4)) \log ^2(x)) \log ^2(x+\log ^2(x))}{x^3 \log (4)+x^2 \log (4) \log ^2(x)} \, dx\) [3566]
\(\int \genfrac {}{}{}{}{1}{((-8 x-4 e^5 x) \log (\genfrac {}{}{}{}{7}{x})+4 x \log (\genfrac {}{}{}{}{7}{x}) \log (\log (\genfrac {}{}{}{}{7}{x}))) \log (2+e^5-\log (\log (\genfrac {}{}{}{}{7}{x})))} \, dx\) [3567]
\(\int \genfrac {}{}{}{}{2 x+e^x (-2+4 x)+2 \log (-3+e^{2 e^4})}{-15 e^{3 x}-45 e^{2 x} x-45 e^x x^2-15 x^3+(45 e^{2 x}+90 e^x x+45 x^2) \log (-3+e^{2 e^4})+(-45 e^x-45 x) \log ^2(-3+e^{2 e^4})+15 \log ^3(-3+e^{2 e^4})} \, dx\) [3568]
\(\int \genfrac {}{}{}{}{(4+2 \log (4)) \log (\log (-4+2 x))}{(4-2 x) \log (2) \log (-4+2 x)+(-2+x) \log (-4+2 x) \log ^2(\log (-4+2 x))} \, dx\) [3569]
\(\int \genfrac {}{}{}{}{-30+20 x+85 x^2-140 x^3-75 x^4+90 x^5}{-3+6 x+11 x^2-17 x^3-12 x^4+9 x^5} \, dx\) [3570]
\(\int \genfrac {}{}{}{}{-93+138 x-32 x^2-10 x^3+3 x^4+(-63+70 x+2 x^2-6 x^3) \log (x)+(-11+8 x+3 x^2) \log ^2(x)}{9-6 x+x^2+(6-2 x) \log (x)+\log ^2(x)} \, dx\) [3571]
\(\int \genfrac {}{}{}{}{e^4 (-1-10 x)-x+2 x^2+e^4 x \log (x)}{x} \, dx\) [3572]
\(\int \genfrac {}{}{}{}{1}{2} e^{-2-2 e^x} (1+2 e^{2 x} x^3+e^x (-2 x-3 x^2-x^3)) \, dx\) [3573]
\(\int \genfrac {}{}{}{}{e^{1+x+x^4} (-144+16 x+16 x^2+192 x^4+64 x^5)}{x^4} \, dx\) [3574]
\(\int \genfrac {}{}{}{}{9-6 e+e^2+(12 x-4 e x) \log (x)+(-12 x+4 e x) \log ^2(x)+(8 x-16 x^2) \log ^3(x)-32 x \log ^3(x) \log ^2(\log (4))}{8 x \log ^3(x)} \, dx\) [3575]
\(\int \genfrac {}{}{}{}{-4+13 x-11 x^2+2 x^3+(4-9 x+2 x^2) \log (4)+(-2-3 x+x^2+x^3+(-2-2 x+2 x^2) \log (4)) \log (1+x-x^2)}{(-4+x+8 x^2-6 x^3+x^4+(4+3 x-5 x^2+x^3) \log (4)) \log (1+x-x^2)} \, dx\) [3576]
\(\int \genfrac {}{}{}{}{-15-15 x-20 x^2+(15+20 x) \log (5)}{-3 x+3 \log (5)} \, dx\) [3577]
\(\int \genfrac {}{}{}{}{2^{5+5 x} (-4-x)+8 x+2 x^2+(2 x^2+2^{5+5 x} (4+(-20 x-5 x^2) \log (2))) \log (x)}{2 x^2} \, dx\) [3578]
\(\int -\genfrac {}{}{}{}{8 x}{-13+10 e^6} \, dx\) [3579]
\(\int \genfrac {}{}{}{}{220 x^3+(27500 x-33000 e^4 x+9900 e^8 x+1090 x^2) \log (3)+(-1250+1500 e^4-450 e^8-50 x) \log ^2(3)+(2 x^3+(250 x-300 e^4 x+90 e^8 x+10 x^2) \log (3)) \log (25-30 e^4+9 e^8+x)}{625 x^3-750 e^4 x^3+225 e^8 x^3+25 x^4} \, dx\) [3580]
\(\int \genfrac {}{}{}{}{-45-9 x-x^2+e^x (32+12 x+x^2)}{324+153 x+22 x^2+x^3} \, dx\) [3581]
\(\int \genfrac {}{}{}{}{2 \log (3)-e^x \log (3)}{9+e^{2 x}+e^x (6-4 x)-12 x+4 x^2} \, dx\) [3582]
\(\int \genfrac {}{}{}{}{25+x^3+2 x^4}{x^3} \, dx\) [3583]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{16} (-48-e^{-12+64 e^x}+16 \log (x))} (-1+4 e^{-12+64 e^x+x} x)}{x} \, dx\) [3584]
\(\int \genfrac {}{}{}{}{-64 e^4 x+(5+16 e^4 x) \log (3)}{20 \log (3)} \, dx\) [3585]
\(\int \genfrac {}{}{}{}{384+3 x^2}{-1152+384 x+x^3} \, dx\) [3586]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{25+(10+10 x) \log (2 x)+(1+2 x+x^2) \log ^2(2 x)}{25+10 x \log (2 x)+x^2 \log ^2(2 x)}} (50+(10+10 x) \log (2 x)-10 x \log ^2(2 x)+(-2 x-2 x^2) \log ^3(2 x))}{125 x+75 x^2 \log (2 x)+15 x^3 \log ^2(2 x)+x^4 \log ^3(2 x)} \, dx\) [3587]
\(\int \genfrac {}{}{}{}{32+16 x+x^5+(-16 x^2-8 x^3) \log (3)}{2 x^5+x^6} \, dx\) [3588]
\(\int \genfrac {}{}{}{}{e^x (4 x^2+3 x^3)+e^x (-4 x^2-4 x^3-3 x^4) \log (x)+(-12-18 x) \log ^2(x)}{(48 x^2+72 x^3+27 x^4) \log ^2(x)} \, dx\) [3589]
\(\int \genfrac {}{}{}{}{-e^x \log (5)+e^{5+e^5 (2+x)} \log (5)-\log (5) \log (16)}{1+e^{2 x}+e^{2 e^5 (2+x)}-2 x \log (16)+x^2 \log ^2(16)+e^{e^5 (2+x)} (2-2 e^x-2 x \log (16))+e^x (-2+2 x \log (16))} \, dx\) [3590]
\(\int \genfrac {}{}{}{}{1-4 x+2 x^2}{-4 x^2+x^3+x \log (4 x)} \, dx\) [3591]
\(\int 2 x \, dx\) [3592]
\(\int \genfrac {}{}{}{}{4+12 x+5 x^2+e^4 (-4+20 x-5 x^2)}{32+32 x-24 x^2-16 x^3+8 x^4+e^8 (32-32 x+8 x^2)+e^4 (64-48 x^2+16 x^3)} \, dx\) [3593]
\(\int \genfrac {}{}{}{}{x-\genfrac {}{}{}{}{8 e^{5-e^3}}{x^2 \log (4)}}{4 x} \, dx\) [3594]
\(\int \genfrac {}{}{}{}{-64-648 x-1522 x^2-216 x^3+e^x (40 x^3-40 x^4-310 x^5-40 x^6+(-80 x^2-230 x^3+270 x^4+40 x^5) \log (4))+e^{2 x} (50 x^6+50 x^7+(-50 x^5-100 x^6) \log (4)+50 x^5 \log ^2(4))}{x^5} \, dx\) [3595]
\(\int \genfrac {}{}{}{}{(12 x+18 x^2+e^x (12+12 x+6 x^2)+(6 x+6 e^x x) \log (x)) \log (25 e^x x^2+25 x^3+(50 e^x x+50 x^2) \log (x)+(25 e^x+25 x) \log ^2(x))+(3 e^x x+3 x^2+(3 e^x+3 x) \log (x)) \log ^2(25 e^x x^2+25 x^3+(50 e^x x+50 x^2) \log (x)+(25 e^x+25 x) \log ^2(x))}{2 e^x x+2 x^2+(2 e^x+2 x) \log (x)} \, dx\) [3596]
\(\int \genfrac {}{}{}{}{-115 x^2+18 x^4-8 x^5-3 x^6+e^4 (-90-60 x-10 x^2)}{90 x^2+60 x^3+10 x^4} \, dx\) [3597]
\(\int \genfrac {}{}{}{}{(-e^x+x) \log (e^x-x)+(2 e^x-2 x) \log ^2(e^x-x)+(-2+2 e^x) \log (\genfrac {}{}{}{}{8-16 \log (e^x-x)}{\log (e^x-x)})}{(-e^x+x) \log (e^x-x)+(2 e^x-2 x) \log ^2(e^x-x)} \, dx\) [3598]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{3-x}{e^2-x}} (6-2 e^2+e^{\genfrac {}{}{}{}{3-x}{e^2-x}} (2 e^4-4 e^2 x+2 x^2))}{e^4-2 e^2 x+x^2} \, dx\) [3599]
\(\int (16-2 x+e^{x+2 x^2+x^3} (5+5 x+20 x^2+15 x^3)) \, dx\) [3600]
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