3.5 Integrals 401 to 462

\(\int \genfrac {}{}{}{}{x^4}{(a x^2+b x^3)^{5/4}} \, dx\) [401]
\(\int \genfrac {}{}{}{}{x^3}{(a x^2+b x^3)^{5/4}} \, dx\) [402]
\(\int \genfrac {}{}{}{}{x^2}{(a x^2+b x^3)^{5/4}} \, dx\) [403]
\(\int \genfrac {}{}{}{}{x}{(a x^2+b x^3)^{5/4}} \, dx\) [404]
\(\int \genfrac {}{}{}{}{1}{(a x^2+b x^3)^{5/4}} \, dx\) [405]
\(\int \genfrac {}{}{}{}{1}{x (a x^2+b x^3)^{5/4}} \, dx\) [406]
\(\int (c x)^m (a x^2+b x^3)^3 \, dx\) [407]
\(\int (c x)^m (a x^2+b x^3)^2 \, dx\) [408]
\(\int (c x)^m (a x^2+b x^3) \, dx\) [409]
\(\int \genfrac {}{}{}{}{(c x)^m}{a x^2+b x^3} \, dx\) [410]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^2+b x^3)^2} \, dx\) [411]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^2+b x^3)^3} \, dx\) [412]
\(\int (c x)^m (a x^2+b x^3)^{3/2} \, dx\) [413]
\(\int (c x)^m \sqrt {a x^2+b x^3} \, dx\) [414]
\(\int \genfrac {}{}{}{}{(c x)^m}{\sqrt {a x^2+b x^3}} \, dx\) [415]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^2+b x^3)^{3/2}} \, dx\) [416]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^2+b x^3)^{5/2}} \, dx\) [417]
\(\int x^2 (a x^2+b x^3)^p \, dx\) [418]
\(\int x (a x^2+b x^3)^p \, dx\) [419]
\(\int (a x^2+b x^3)^p \, dx\) [420]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^p}{x} \, dx\) [421]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^p}{x^2} \, dx\) [422]
\(\int (c x)^{3/2} (a x^2+b x^3)^p \, dx\) [423]
\(\int \sqrt {c x} (a x^2+b x^3)^p \, dx\) [424]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^p}{\sqrt {c x}} \, dx\) [425]
\(\int \genfrac {}{}{}{}{(a x^2+b x^3)^p}{(c x)^{3/2}} \, dx\) [426]
\(\int (c x)^m (a x^2+b x^3)^p \, dx\) [427]
\(\int (c x)^{-5-3 p} (a x^2+b x^3)^p \, dx\) [428]
\(\int (c x)^{-4-3 p} (a x^2+b x^3)^p \, dx\) [429]
\(\int (c x)^{-3-3 p} (a x^2+b x^3)^p \, dx\) [430]
\(\int (c x)^{-2-3 p} (a x^2+b x^3)^p \, dx\) [431]
\(\int (c x)^{-1-3 p} (a x^2+b x^3)^p \, dx\) [432]
\(\int (c x)^{-3 p} (a x^2+b x^3)^p \, dx\) [433]
\(\int (c x)^{1-3 p} (a x^2+b x^3)^p \, dx\) [434]
\(\int (c x)^m (a x^n+b x^{1+n})^3 \, dx\) [435]
\(\int (c x)^m (a x^n+b x^{1+n})^2 \, dx\) [436]
\(\int (c x)^m (a x^n+b x^{1+n}) \, dx\) [437]
\(\int \genfrac {}{}{}{}{(c x)^m}{a x^n+b x^{1+n}} \, dx\) [438]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^n+b x^{1+n})^2} \, dx\) [439]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^n+b x^{1+n})^3} \, dx\) [440]
\(\int (c x)^m (a x^n+b x^{1+n})^{3/2} \, dx\) [441]
\(\int (c x)^m \sqrt {a x^n+b x^{1+n}} \, dx\) [442]
\(\int \genfrac {}{}{}{}{(c x)^m}{\sqrt {a x^n+b x^{1+n}}} \, dx\) [443]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^n+b x^{1+n})^{3/2}} \, dx\) [444]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^n+b x^{1+n})^{5/2}} \, dx\) [445]
\(\int x^2 (a x^n+b x^{1+n})^p \, dx\) [446]
\(\int x (a x^n+b x^{1+n})^p \, dx\) [447]
\(\int (a x^n+b x^{1+n})^p \, dx\) [448]
\(\int \genfrac {}{}{}{}{(a x^n+b x^{1+n})^p}{x} \, dx\) [449]
\(\int \genfrac {}{}{}{}{(a x^n+b x^{1+n})^p}{x^2} \, dx\) [450]
\(\int (c x)^{3/2} (a x^n+b x^{1+n})^p \, dx\) [451]
\(\int \sqrt {c x} (a x^n+b x^{1+n})^p \, dx\) [452]
\(\int \genfrac {}{}{}{}{(a x^n+b x^{1+n})^p}{\sqrt {c x}} \, dx\) [453]
\(\int \genfrac {}{}{}{}{(a x^n+b x^{1+n})^p}{(c x)^{3/2}} \, dx\) [454]
\(\int (c x)^m (a x^n+b x^{1+n})^p \, dx\) [455]
\(\int (c x)^{-5-(1+n) p} (a x^n+b x^{1+n})^p \, dx\) [456]
\(\int (c x)^{-4-(1+n) p} (a x^n+b x^{1+n})^p \, dx\) [457]
\(\int (c x)^{-3-(1+n) p} (a x^n+b x^{1+n})^p \, dx\) [458]
\(\int (c x)^{-2-(1+n) p} (a x^n+b x^{1+n})^p \, dx\) [459]
\(\int (c x)^{-1-(1+n) p} (a x^n+b x^{1+n})^p \, dx\) [460]
\(\int (c x)^{-((1+n) p)} (a x^n+b x^{1+n})^p \, dx\) [461]
\(\int (c x)^{1-(1+n) p} (a x^n+b x^{1+n})^p \, dx\) [462]