3.7 Integrals 601 to 700

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