3.5 Integrals 401 to 500

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