3.7.1 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2) \text {ArcTan}(a x)^2} \, dx\) [601]
  3.7.2 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^2 \text {ArcTan}(a x)^2} \, dx\) [602]
  3.7.3 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^3 \text {ArcTan}(a x)^2} \, dx\) [603]
  3.7.4 \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{5/2}}{\text {ArcTan}(a x)^2} \, dx\) [604]
  3.7.5 \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{3/2}}{\text {ArcTan}(a x)^2} \, dx\) [605]
  3.7.6 \(\int \genfrac {}{}{}{}{x^m \sqrt {c+a^2 c x^2}}{\text {ArcTan}(a x)^2} \, dx\) [606]
  3.7.7 \(\int \genfrac {}{}{}{}{x^m}{\sqrt {c+a^2 c x^2} \text {ArcTan}(a x)^2} \, dx\) [607]
  3.7.8 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^2} \, dx\) [608]
  3.7.9 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^2} \, dx\) [609]
  3.7.10 \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)}{\text {ArcTan}(a x)^3} \, dx\) [610]
  3.7.11 \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{\text {ArcTan}(a x)^3} \, dx\) [611]
  3.7.12 \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{x \text {ArcTan}(a x)^3} \, dx\) [612]
  3.7.13 \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^2}{\text {ArcTan}(a x)^3} \, dx\) [613]
  3.7.14 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{\text {ArcTan}(a x)^3} \, dx\) [614]
  3.7.15 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{x \text {ArcTan}(a x)^3} \, dx\) [615]
  3.7.16 \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^3}{\text {ArcTan}(a x)^3} \, dx\) [616]
  3.7.17 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{\text {ArcTan}(a x)^3} \, dx\) [617]
  3.7.18 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{x \text {ArcTan}(a x)^3} \, dx\) [618]
  3.7.19 \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [619]
  3.7.20 \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [620]
  3.7.21 \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [621]
  3.7.22 \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [622]
  3.7.23 \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [623]
  3.7.24 \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [624]
  3.7.25 \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [625]
  3.7.26 \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [626]
  3.7.27 \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [627]
  3.7.28 \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [628]
  3.7.29 \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [629]
  3.7.30 \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [630]
  3.7.31 \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [631]
  3.7.32 \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [632]
  3.7.33 \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [633]
  3.7.34 \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [634]
  3.7.35 \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [635]
  3.7.36 \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [636]
  3.7.37 \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [637]
  3.7.38 \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [638]
  3.7.39 \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [639]
  3.7.40 \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [640]
  3.7.41 \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [641]
  3.7.42 \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [642]
  3.7.43 \(\int (\genfrac {}{}{}{}{x^3}{(1+a^2 x^2) \text {ArcTan}(a x)^3}-\genfrac {}{}{}{}{3 x^2}{2 a \text {ArcTan}(a x)^2}) \, dx\) [643]
  3.7.44 \(\int \genfrac {}{}{}{}{x \sqrt {c+a^2 c x^2}}{\text {ArcTan}(a x)^3} \, dx\) [644]
  3.7.45 \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{\text {ArcTan}(a x)^3} \, dx\) [645]
  3.7.46 \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{x \text {ArcTan}(a x)^3} \, dx\) [646]
  3.7.47 \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{3/2}}{\text {ArcTan}(a x)^3} \, dx\) [647]
  3.7.48 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{\text {ArcTan}(a x)^3} \, dx\) [648]
  3.7.49 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{x \text {ArcTan}(a x)^3} \, dx\) [649]
  3.7.50 \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{5/2}}{\text {ArcTan}(a x)^3} \, dx\) [650]
  3.7.51 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{\text {ArcTan}(a x)^3} \, dx\) [651]
  3.7.52 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{x \text {ArcTan}(a x)^3} \, dx\) [652]
  3.7.53 \(\int \genfrac {}{}{}{}{x}{\sqrt {c+a^2 c x^2} \text {ArcTan}(a x)^3} \, dx\) [653]
  3.7.54 \(\int \genfrac {}{}{}{}{1}{\sqrt {c+a^2 c x^2} \text {ArcTan}(a x)^3} \, dx\) [654]
  3.7.55 \(\int \genfrac {}{}{}{}{1}{x \sqrt {c+a^2 c x^2} \text {ArcTan}(a x)^3} \, dx\) [655]
  3.7.56 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {c+a^2 c x^2} \text {ArcTan}(a x)^3} \, dx\) [656]
  3.7.57 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {c+a^2 c x^2} \text {ArcTan}(a x)^3} \, dx\) [657]
  3.7.58 \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [658]
  3.7.59 \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [659]
  3.7.60 \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [660]
  3.7.61 \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [661]
  3.7.62 \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [662]
  3.7.63 \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [663]
  3.7.64 \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [664]
  3.7.65 \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [665]
  3.7.66 \(\int \genfrac {}{}{}{}{x^5}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [666]
  3.7.67 \(\int \genfrac {}{}{}{}{x^4}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [667]
  3.7.68 \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [668]
  3.7.69 \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [669]
  3.7.70 \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [670]
  3.7.71 \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [671]
  3.7.72 \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [672]
  3.7.73 \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [673]
  3.7.74 \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^3}{\text {ArcTan}(a x)^3} \, dx\) [674]
  3.7.75 \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^2}{\text {ArcTan}(a x)^3} \, dx\) [675]
  3.7.76 \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)}{\text {ArcTan}(a x)^3} \, dx\) [676]
  3.7.77 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2) \text {ArcTan}(a x)^3} \, dx\) [677]
  3.7.78 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^2 \text {ArcTan}(a x)^3} \, dx\) [678]
  3.7.79 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^3 \text {ArcTan}(a x)^3} \, dx\) [679]
  3.7.80 \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{5/2}}{\text {ArcTan}(a x)^3} \, dx\) [680]
  3.7.81 \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{3/2}}{\text {ArcTan}(a x)^3} \, dx\) [681]
  3.7.82 \(\int \genfrac {}{}{}{}{x^m \sqrt {c+a^2 c x^2}}{\text {ArcTan}(a x)^3} \, dx\) [682]
  3.7.83 \(\int \genfrac {}{}{}{}{x^m}{\sqrt {c+a^2 c x^2} \text {ArcTan}(a x)^3} \, dx\) [683]
  3.7.84 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{3/2} \text {ArcTan}(a x)^3} \, dx\) [684]
  3.7.85 \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{5/2} \text {ArcTan}(a x)^3} \, dx\) [685]
  3.7.86 \(\int x^m (c+a^2 c x^2) \sqrt {\text {ArcTan}(a x)} \, dx\) [686]
  3.7.87 \(\int x (c+a^2 c x^2) \sqrt {\text {ArcTan}(a x)} \, dx\) [687]
  3.7.88 \(\int (c+a^2 c x^2) \sqrt {\text {ArcTan}(a x)} \, dx\) [688]
  3.7.89 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2) \sqrt {\text {ArcTan}(a x)}}{x} \, dx\) [689]
  3.7.90 \(\int x^m (c+a^2 c x^2)^2 \sqrt {\text {ArcTan}(a x)} \, dx\) [690]
  3.7.91 \(\int x (c+a^2 c x^2)^2 \sqrt {\text {ArcTan}(a x)} \, dx\) [691]
  3.7.92 \(\int (c+a^2 c x^2)^2 \sqrt {\text {ArcTan}(a x)} \, dx\) [692]
  3.7.93 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2 \sqrt {\text {ArcTan}(a x)}}{x} \, dx\) [693]
  3.7.94 \(\int x^m (c+a^2 c x^2)^3 \sqrt {\text {ArcTan}(a x)} \, dx\) [694]
  3.7.95 \(\int x (c+a^2 c x^2)^3 \sqrt {\text {ArcTan}(a x)} \, dx\) [695]
  3.7.96 \(\int (c+a^2 c x^2)^3 \sqrt {\text {ArcTan}(a x)} \, dx\) [696]
  3.7.97 \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3 \sqrt {\text {ArcTan}(a x)}}{x} \, dx\) [697]
  3.7.98 \(\int \genfrac {}{}{}{}{x^m \sqrt {\text {ArcTan}(a x)}}{c+a^2 c x^2} \, dx\) [698]
  3.7.99 \(\int \genfrac {}{}{}{}{x^3 \sqrt {\text {ArcTan}(a x)}}{c+a^2 c x^2} \, dx\) [699]
  3.7.100 \(\int \genfrac {}{}{}{}{x^2 \sqrt {\text {ArcTan}(a x)}}{c+a^2 c x^2} \, dx\) [700]