3.6.1 \(\int (c+d x^2) \tanh ^{-1}(a x) \, dx\) [501]
  3.6.2 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{c+d x^2} \, dx\) [502]
  3.6.3 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{(c+d x^2)^2} \, dx\) [503]
  3.6.4 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{(c+d x^2)^3} \, dx\) [504]
  3.6.5 \(\int \genfrac {}{}{}{}{1}{(a-a x^2) (b-2 b \tanh ^{-1}(x))} \, dx\) [505]
  3.6.6 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(b x)}{1-x^2} \, dx\) [506]
  3.6.7 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{1-x^2} \, dx\) [507]
  3.6.8 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(x)}{a+b x} \, dx\) [508]
  3.6.9 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(x)}{a+b x^2} \, dx\) [509]
  3.6.10 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(x)}{a+b x+c x^2} \, dx\) [510]
  3.6.11 \(\int \sqrt {c+d x^2} \tanh ^{-1}(a x) \, dx\) [511]
  3.6.12 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{\sqrt {c+d x^2}} \, dx\) [512]
  3.6.13 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{(c+d x^2)^{3/2}} \, dx\) [513]
  3.6.14 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{(c+d x^2)^{5/2}} \, dx\) [514]
  3.6.15 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{(c+d x^2)^{7/2}} \, dx\) [515]
  3.6.16 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a x)}{(c+d x^2)^{9/2}} \, dx\) [516]
  3.6.17 \(\int \sqrt {a-a x^2} \tanh ^{-1}(x) \, dx\) [517]
  3.6.18 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(x)}{\sqrt {a-a x^2}} \, dx\) [518]
  3.6.19 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(x)}{(a-a x^2)^{3/2}} \, dx\) [519]
  3.6.20 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(x)}{(a-a x^2)^{5/2}} \, dx\) [520]
  3.6.21 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(x)}{(a-a x^2)^{7/2}} \, dx\) [521]
  3.6.22 \(\int x^4 (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [522]
  3.6.23 \(\int x^3 (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [523]
  3.6.24 \(\int x^2 (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [524]
  3.6.25 \(\int x (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [525]
  3.6.26 \(\int (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [526]
  3.6.27 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x} \, dx\) [527]
  3.6.28 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^2} \, dx\) [528]
  3.6.29 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^3} \, dx\) [529]
  3.6.30 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^4} \, dx\) [530]
  3.6.31 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^5} \, dx\) [531]
  3.6.32 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^6} \, dx\) [532]
  3.6.33 \(\int x (a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2)) \, dx\) [533]
  3.6.34 \(\int (a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2)) \, dx\) [534]
  3.6.35 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2))}{x} \, dx\) [535]
  3.6.36 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2))}{x^2} \, dx\) [536]
  3.6.37 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2))}{x^3} \, dx\) [537]
  3.6.38 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(c x) (a+b \tanh ^{-1}(c x))}{(1+c x)^2} \, dx\) [538]