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