3.5 Integrals 401 to 438

\(\int (c x)^m \sqrt {a x^j+b x^n} \, dx\) [401]
\(\int \genfrac {}{}{}{}{(c x)^m}{\sqrt {a x^j+b x^n}} \, dx\) [402]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^j+b x^n)^{3/2}} \, dx\) [403]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^j+b x^n)^{5/2}} \, dx\) [404]
\(\int (a x^j+b x^n)^{3/2} \, dx\) [405]
\(\int \sqrt {a x^j+b x^n} \, dx\) [406]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a x^j+b x^n}} \, dx\) [407]
\(\int \genfrac {}{}{}{}{1}{(a x^j+b x^n)^{3/2}} \, dx\) [408]
\(\int \genfrac {}{}{}{}{1}{(a x^j+b x^n)^{5/2}} \, dx\) [409]
\(\int \sqrt {\genfrac {}{}{}{}{1+x}{x^5}} \, dx\) [410]
\(\int \sqrt {x+x^{5/2}} \, dx\) [411]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x}+x^{3/2}} \, dx\) [412]
\(\int x \sqrt {x^2 (a+b x^3)} \, dx\) [413]
\(\int x \sqrt {a x^2+b x^5} \, dx\) [414]
\(\int \sqrt {x^4 (a+b x^3)} \, dx\) [415]
\(\int (c x)^m (a x^q+b x^r)^3 \, dx\) [416]
\(\int (c x)^m (a x^q+b x^r)^2 \, dx\) [417]
\(\int (c x)^m (a x^q+b x^r) \, dx\) [418]
\(\int \genfrac {}{}{}{}{(c x)^m}{a x^q+b x^r} \, dx\) [419]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^q+b x^r)^2} \, dx\) [420]
\(\int \genfrac {}{}{}{}{(c x)^m}{(a x^q+b x^r)^3} \, dx\) [421]
\(\int x^m (a x^j+b x^n)^p \, dx\) [422]
\(\int x^{-1-p q} (b x^n+a x^q)^p \, dx\) [423]
\(\int x^{-1-n p} (b x^n+a x^q)^p \, dx\) [424]
\(\int x^{-1-n-(-1+p) q} (b x^n+a x^q)^p \, dx\) [425]
\(\int x^{-1-n (-1+p)-q} (b x^n+a x^q)^p \, dx\) [426]
\(\int \genfrac {}{}{}{}{(-\genfrac {}{}{}{}{1}{x}+x)^p}{x} \, dx\) [427]
\(\int (a x^m+b x^{1+m+m p})^p \, dx\) [428]
\(\int (x^m (a+b x^{1+m p}))^p \, dx\) [429]
\(\int x^n (x^m (a+b x^{1+n+m p}))^p \, dx\) [430]
\(\int x^n (a x^m+b x^{1+m+n+m p})^p \, dx\) [431]
\(\int \sqrt {x^{2 (-1+n)} (a+b x^n)} \, dx\) [432]
\(\int \sqrt [3]{x^{3 (-1+n)} (a+b x^n)} \, dx\) [433]
\(\int \sqrt [4]{x^{4 (-1+n)} (a+b x^n)} \, dx\) [434]
\(\int (x^{(-1+n) p} (a+b x^n))^{\genfrac {}{}{}{}{1}{p}} \, dx\) [435]
\(\int (x^{\genfrac {}{}{}{}{-1+n}{p}} (a+b x^n))^p \, dx\) [436]
\(\int x^{-1+n-p (1+q)} (a x^n+b x^p)^q \, dx\) [437]
\(\int x^{-1-n q-p (1+q)} (x^n (a+b x^p))^q \, dx\) [438]