3.5 Integrals 401 to 500

\(\int (e+f x)^m (a c+(b c+a d) x+b d x^2)^2 \, dx\) [401]
\(\int (e+f x)^m (a c+(b c+a d) x+b d x^2) \, dx\) [402]
\(\int \genfrac {}{}{}{}{(e+f x)^m}{a c+(b c+a d) x+b d x^2} \, dx\) [403]
\(\int \genfrac {}{}{}{}{(e+f x)^m}{(a c+(b c+a d) x+b d x^2)^2} \, dx\) [404]
\(\int (d+e x)^4 (a+b x+c x^2) \, dx\) [405]
\(\int (d+e x)^3 (a+b x+c x^2) \, dx\) [406]
\(\int (d+e x)^2 (a+b x+c x^2) \, dx\) [407]
\(\int (d+e x) (a+b x+c x^2) \, dx\) [408]
\(\int (a+b x+c x^2) \, dx\) [409]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{d+e x} \, dx\) [410]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^2} \, dx\) [411]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^3} \, dx\) [412]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^4} \, dx\) [413]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^5} \, dx\) [414]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^6} \, dx\) [415]
\(\int (d+e x)^4 (a+b x+c x^2)^2 \, dx\) [416]
\(\int (d+e x)^3 (a+b x+c x^2)^2 \, dx\) [417]
\(\int (d+e x)^2 (a+b x+c x^2)^2 \, dx\) [418]
\(\int (d+e x) (a+b x+c x^2)^2 \, dx\) [419]
\(\int (a+b x+c x^2)^2 \, dx\) [420]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{d+e x} \, dx\) [421]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^2} \, dx\) [422]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^3} \, dx\) [423]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^4} \, dx\) [424]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^5} \, dx\) [425]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^6} \, dx\) [426]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^7} \, dx\) [427]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^8} \, dx\) [428]
\(\int (d+e x)^4 (a+b x+c x^2)^3 \, dx\) [429]
\(\int (d+e x)^3 (a+b x+c x^2)^3 \, dx\) [430]
\(\int (d+e x)^2 (a+b x+c x^2)^3 \, dx\) [431]
\(\int (d+e x) (a+b x+c x^2)^3 \, dx\) [432]
\(\int (a+b x+c x^2)^3 \, dx\) [433]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{d+e x} \, dx\) [434]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^2} \, dx\) [435]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^3} \, dx\) [436]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^4} \, dx\) [437]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^5} \, dx\) [438]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^6} \, dx\) [439]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^7} \, dx\) [440]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^8} \, dx\) [441]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^9} \, dx\) [442]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^{10}} \, dx\) [443]
\(\int (d+e x)^4 (a+b x+c x^2)^4 \, dx\) [444]
\(\int (d+e x)^3 (a+b x+c x^2)^4 \, dx\) [445]
\(\int (d+e x)^2 (a+b x+c x^2)^4 \, dx\) [446]
\(\int (d+e x) (a+b x+c x^2)^4 \, dx\) [447]
\(\int (a+b x+c x^2)^4 \, dx\) [448]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{d+e x} \, dx\) [449]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^2} \, dx\) [450]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^3} \, dx\) [451]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^4} \, dx\) [452]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^5} \, dx\) [453]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^6} \, dx\) [454]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^7} \, dx\) [455]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^8} \, dx\) [456]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^9} \, dx\) [457]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^{10}} \, dx\) [458]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^{11}} \, dx\) [459]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^{12}} \, dx\) [460]
\(\int \genfrac {}{}{}{}{2+2 x+x^2}{2+x} \, dx\) [461]
\(\int \genfrac {}{}{}{}{5+4 x+x^2}{-2+x} \, dx\) [462]
\(\int \genfrac {}{}{}{}{2+2 x+x^2}{(1+x)^3} \, dx\) [463]
\(\int \genfrac {}{}{}{}{3+3 x+2 x^2}{(1+x)^3} \, dx\) [464]
\(\int (d+e x)^3 (a+b x+c x^2)^3 \, dx\) [465]
\(\int (a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^3 \, dx\) [466]
\(\int (a^3 d^3+3 a^2 d^2 (b d+a e) x+3 a d (b^2 d^2+a c d^2+3 a b d e+a^2 e^2) x^2+(b^3 d^3+6 a b c d^3+9 a b^2 d^2 e+9 a^2 c d^2 e+9 a^2 b d e^2+a^3 e^3) x^3+3 (b^2 c d^3+a c^2 d^3+b^3 d^2 e+6 a b c d^2 e+3 a b^2 d e^2+3 a^2 c d e^2+a^2 b e^3) x^4+3 (b c^2 d^3+3 b^2 c d^2 e+3 a c^2 d^2 e+b^3 d e^2+6 a b c d e^2+a b^2 e^3+a^2 c e^3) x^5+(c^3 d^3+9 b c^2 d^2 e+9 b^2 c d e^2+9 a c^2 d e^2+b^3 e^3+6 a b c e^3) x^6+3 c e (c^2 d^2+3 b c d e+b^2 e^2+a c e^2) x^7+3 c^2 e^2 (c d+b e) x^8+c^3 e^3 x^9) \, dx\) [467]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{a+b x+c x^2} \, dx\) [468]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{a+b x+c x^2} \, dx\) [469]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{a+b x+c x^2} \, dx\) [470]
\(\int \genfrac {}{}{}{}{d+e x}{a+b x+c x^2} \, dx\) [471]
\(\int \genfrac {}{}{}{}{1}{a+b x+c x^2} \, dx\) [472]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)} \, dx\) [473]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)} \, dx\) [474]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)} \, dx\) [475]
\(\int \genfrac {}{}{}{}{(d+e x)^5}{(a+b x+c x^2)^2} \, dx\) [476]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^2} \, dx\) [477]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^2} \, dx\) [478]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^2} \, dx\) [479]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^2} \, dx\) [480]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^2} \, dx\) [481]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^2} \, dx\) [482]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^2} \, dx\) [483]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^2} \, dx\) [484]
\(\int \genfrac {}{}{}{}{(d+e x)^5}{(a+b x+c x^2)^3} \, dx\) [485]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^3} \, dx\) [486]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^3} \, dx\) [487]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^3} \, dx\) [488]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^3} \, dx\) [489]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^3} \, dx\) [490]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^3} \, dx\) [491]
\(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^4} \, dx\) [492]
\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^4} \, dx\) [493]
\(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^4} \, dx\) [494]
\(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^4} \, dx\) [495]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^4} \, dx\) [496]
\(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^4} \, dx\) [497]
\(\int \genfrac {}{}{}{}{1}{(1+2 x) (2+3 x+5 x^2)^3} \, dx\) [498]
\(\int \genfrac {}{}{}{}{1}{(1+2 x)^2 (2+3 x+5 x^2)^3} \, dx\) [499]
\(\int \genfrac {}{}{}{}{1}{(1+2 x) (2+3 x+5 x^2)^4} \, dx\) [500]