3.7 Integrals 601 to 700

\(\int \genfrac {}{}{}{}{x^{m+n}}{\sqrt {a+b x^n}} \, dx\) [601]
\(\int \genfrac {}{}{}{}{x^{m-n}}{\sqrt {a+b x^n}} \, dx\) [602]
\(\int \genfrac {}{}{}{}{x^{m-2 n}}{\sqrt {a+b x^n}} \, dx\) [603]
\(\int (-\genfrac {}{}{}{}{b n x^{-1+m+n}}{2 (a+b x^n)^{3/2}}+\genfrac {}{}{}{}{m x^{-1+m}}{\sqrt {a+b x^n}}) \, dx\) [604]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [605]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [606]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [607]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [608]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [609]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [610]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [611]
\(\int \genfrac {}{}{}{}{x^{-1-\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [612]
\(\int x^m (a+b x^{2+2 m})^{5/2} \, dx\) [613]
\(\int x^m (a+b x^{2+2 m})^{3/2} \, dx\) [614]
\(\int x^m \sqrt {a+b x^{2+2 m}} \, dx\) [615]
\(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{2+2 m}}} \, dx\) [616]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{3/2}} \, dx\) [617]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{5/2}} \, dx\) [618]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^{2+2 m})^{7/2}} \, dx\) [619]
\(\int x^m \sqrt {1+x^{1+m}} \, dx\) [620]
\(\int x^m \sqrt {a^2+x^{1+m}} \, dx\) [621]
\(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{-2+m}}} \, dx\) [622]
\(\int \genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{2-m}}} \, dx\) [623]
\(\int (\genfrac {}{}{}{}{6 a x^2}{b (4+m) \sqrt {a+b x^{-2+m}}}+\genfrac {}{}{}{}{x^m}{\sqrt {a+b x^{-2+m}}}) \, dx\) [624]
\(\int \genfrac {}{}{}{}{x^{-1+m} (2 a m+b (2 m-n) x^n)}{2 (a+b x^n)^{3/2}} \, dx\) [625]
\(\int (-\genfrac {}{}{}{}{b n x^{-1+m+n}}{2 (a+b x^n)^{3/2}}+\genfrac {}{}{}{}{m x^{-1+m}}{\sqrt {a+b x^n}}) \, dx\) [626]
\(\int \genfrac {}{}{}{}{x^m}{\sqrt [3]{a+b x^{3 (1+m)}}} \, dx\) [627]
\(\int x^m (a+b x^{-\genfrac {}{}{}{}{3}{2} (1+m)})^{2/3} \, dx\) [628]
\(\int \genfrac {}{}{}{}{x^{-1+\genfrac {}{}{}{}{n}{3}}}{\sqrt [3]{a+b x^n}} \, dx\) [629]
\(\int x^{-1-\genfrac {}{}{}{}{2 n}{3}} (a+b x^n)^{2/3} \, dx\) [630]
\(\int x^m (a+b x^n)^p \, dx\) [631]
\(\int x^{-1+n} (a+b x^n)^p \, dx\) [632]
\(\int x^m (b x^n)^p \, dx\) [633]
\(\int x^2 (b x^n)^p \, dx\) [634]
\(\int x (b x^n)^p \, dx\) [635]
\(\int (b x^n)^p \, dx\) [636]
\(\int \genfrac {}{}{}{}{(b x^n)^p}{x} \, dx\) [637]
\(\int \genfrac {}{}{}{}{(b x^n)^p}{x^2} \, dx\) [638]
\(\int \genfrac {}{}{}{}{(b x^n)^p}{x^3} \, dx\) [639]
\(\int \genfrac {}{}{}{}{(b x^n)^p}{x^4} \, dx\) [640]
\(\int x^{-1+n} (a+b x^n)^p \, dx\) [641]
\(\int x^{-1+2 n} (a+b x^n)^p \, dx\) [642]
\(\int x^{-1+3 n} (a+b x^n)^p \, dx\) [643]
\(\int x^{-1+4 n} (a+b x^n)^p \, dx\) [644]
\(\int x^{-1-n-n p} (a+b x^n)^p \, dx\) [645]
\(\int x^{-1-9 n} (a+b x^n)^8 \, dx\) [646]
\(\int x^{-4-3 p} (a+b x^3)^p \, dx\) [647]
\(\int \genfrac {}{}{}{}{(a+b x^3)^8}{x^{28}} \, dx\) [648]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^n)} \, dx\) [649]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^3)} \, dx\) [650]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^{-n})} \, dx\) [651]
\(\int (c x)^m (a+b x^n)^2 \, dx\) [652]
\(\int (c x)^m (a+b x^3)^2 \, dx\) [653]
\(\int (c x)^m (a+b x^2)^2 \, dx\) [654]
\(\int (c x)^m (a+b x)^2 \, dx\) [655]
\(\int (a+\genfrac {}{}{}{}{b}{x})^2 (c x)^m \, dx\) [656]
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 (c x)^m \, dx\) [657]
\(\int (a+\genfrac {}{}{}{}{b}{x^3})^2 (c x)^m \, dx\) [658]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{2 n}{3}}}{a+b x^n} \, dx\) [659]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{4}}}{a+b x^n} \, dx\) [660]
\(\int \genfrac {}{}{}{}{(c x)^{-1-n}}{a+b x^n} \, dx\) [661]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{a+b x^n} \, dx\) [662]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{3}}}{a+b x^n} \, dx\) [663]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{4}}}{a+b x^n} \, dx\) [664]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{2}}}{a+b x^n} \, dx\) [665]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{4 n}{3}}}{a+b x^n} \, dx\) [666]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{5 n}{4}}}{a+b x^n} \, dx\) [667]
\(\int \genfrac {}{}{}{}{(c x)^{4+n}}{a+b x^n} \, dx\) [668]
\(\int \genfrac {}{}{}{}{(c x)^{3+n}}{a+b x^n} \, dx\) [669]
\(\int \genfrac {}{}{}{}{(c x)^{2+n}}{a+b x^n} \, dx\) [670]
\(\int \genfrac {}{}{}{}{(c x)^{1+n}}{a+b x^n} \, dx\) [671]
\(\int \genfrac {}{}{}{}{(c x)^n}{a+b x^n} \, dx\) [672]
\(\int \genfrac {}{}{}{}{(c x)^{-1+n}}{a+b x^n} \, dx\) [673]
\(\int \genfrac {}{}{}{}{(c x)^{-2+n}}{a+b x^n} \, dx\) [674]
\(\int \genfrac {}{}{}{}{(c x)^{-3+n}}{a+b x^n} \, dx\) [675]
\(\int \genfrac {}{}{}{}{(c x)^{-1+n}}{(a+b x^n)^2} \, dx\) [676]
\(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [677]
\(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [678]
\(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [679]
\(\int \genfrac {}{}{}{}{(c x)^{-1+\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [680]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{n}{2}}}{\sqrt {a+b x^n}} \, dx\) [681]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{3 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [682]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{5 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [683]
\(\int \genfrac {}{}{}{}{(c x)^{-1-\genfrac {}{}{}{}{7 n}{2}}}{\sqrt {a+b x^n}} \, dx\) [684]
\(\int (c x)^m (a+b x^n)^p \, dx\) [685]
\(\int (c x)^{-1+n} (a+b x^n)^p \, dx\) [686]
\(\int (c x)^{3 n} (a+b x^n)^p \, dx\) [687]
\(\int (c x)^{2 n} (a+b x^n)^p \, dx\) [688]
\(\int (c x)^n (a+b x^n)^p \, dx\) [689]
\(\int (a+b x^n)^p \, dx\) [690]
\(\int (c x)^{-n} (a+b x^n)^p \, dx\) [691]
\(\int (c x)^{-2 n} (a+b x^n)^p \, dx\) [692]
\(\int (c x)^{-3 n} (a+b x^n)^p \, dx\) [693]
\(\int (c x)^{-1+n-n p} (a+b x^n)^p \, dx\) [694]
\(\int (c x)^{-1-n p} (a+b x^n)^p \, dx\) [695]
\(\int (c x)^{-1-n-n p} (a+b x^n)^p \, dx\) [696]
\(\int (c x)^{-1-2 n-n p} (a+b x^n)^p \, dx\) [697]
\(\int (c x)^{-1-3 n-n p} (a+b x^n)^p \, dx\) [698]
\(\int (c x)^{-1-4 n-n p} (a+b x^n)^p \, dx\) [699]
\(\int x^{-1-2 n (1+p)} (a+b x^n)^{2 p} \, dx\) [700]