3.1.1 \(\int x^3 \tanh ^{-1}(a+b x)^2 \, dx\) [1]
  3.1.2 \(\int x^2 \tanh ^{-1}(a+b x)^2 \, dx\) [2]
  3.1.3 \(\int x \tanh ^{-1}(a+b x)^2 \, dx\) [3]
  3.1.4 \(\int \tanh ^{-1}(a+b x)^2 \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)^2}{x} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)^2}{x^2} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)^2}{x^3} \, dx\) [7]
  3.1.8 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(1+b x)^2}{x} \, dx\) [8]
  3.1.9 \(\int (c e+d e x)^3 (a+b \tanh ^{-1}(c+d x)) \, dx\) [9]
  3.1.10 \(\int (c e+d e x)^2 (a+b \tanh ^{-1}(c+d x)) \, dx\) [10]
  3.1.11 \(\int (c e+d e x) (a+b \tanh ^{-1}(c+d x)) \, dx\) [11]
  3.1.12 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c+d x)}{c e+d e x} \, dx\) [12]
  3.1.13 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c+d x)}{(c e+d e x)^2} \, dx\) [13]
  3.1.14 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c+d x)}{(c e+d e x)^3} \, dx\) [14]
  3.1.15 \(\int (c e+d e x)^3 (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [15]
  3.1.16 \(\int (c e+d e x)^2 (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [16]
  3.1.17 \(\int (c e+d e x) (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [17]
  3.1.18 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{c e+d e x} \, dx\) [18]
  3.1.19 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^2} \, dx\) [19]
  3.1.20 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^3} \, dx\) [20]
  3.1.21 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^4} \, dx\) [21]
  3.1.22 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^5} \, dx\) [22]
  3.1.23 \(\int (c e+d e x)^2 (a+b \tanh ^{-1}(c+d x))^3 \, dx\) [23]
  3.1.24 \(\int (c e+d e x) (a+b \tanh ^{-1}(c+d x))^3 \, dx\) [24]
  3.1.25 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^3}{c e+d e x} \, dx\) [25]
  3.1.26 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^3}{(c e+d e x)^2} \, dx\) [26]
  3.1.27 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^3}{(c e+d e x)^3} \, dx\) [27]
  3.1.28 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^3}{(c e+d e x)^4} \, dx\) [28]
  3.1.29 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(1+x)}{2+2 x} \, dx\) [29]
  3.1.30 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [30]
  3.1.31 \(\int (e+f x)^3 (a+b \tanh ^{-1}(c+d x)) \, dx\) [31]
  3.1.32 \(\int (e+f x)^2 (a+b \tanh ^{-1}(c+d x)) \, dx\) [32]
  3.1.33 \(\int (e+f x) (a+b \tanh ^{-1}(c+d x)) \, dx\) [33]
  3.1.34 \(\int (a+b \tanh ^{-1}(c+d x)) \, dx\) [34]
  3.1.35 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c+d x)}{e+f x} \, dx\) [35]
  3.1.36 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c+d x)}{(e+f x)^2} \, dx\) [36]
  3.1.37 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c+d x)}{(e+f x)^3} \, dx\) [37]
  3.1.38 \(\int (e+f x)^3 (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [38]
  3.1.39 \(\int (e+f x)^2 (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [39]
  3.1.40 \(\int (e+f x) (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [40]
  3.1.41 \(\int (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [41]
  3.1.42 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{e+f x} \, dx\) [42]
  3.1.43 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{(e+f x)^2} \, dx\) [43]
  3.1.44 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^2}{(e+f x)^3} \, dx\) [44]
  3.1.45 \(\int (e+f x)^2 (a+b \tanh ^{-1}(c+d x))^3 \, dx\) [45]
  3.1.46 \(\int (e+f x) (a+b \tanh ^{-1}(c+d x))^3 \, dx\) [46]
  3.1.47 \(\int (a+b \tanh ^{-1}(c+d x))^3 \, dx\) [47]
  3.1.48 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^3}{e+f x} \, dx\) [48]
  3.1.49 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c+d x))^3}{(e+f x)^2} \, dx\) [49]
  3.1.50 \(\int (e+f x)^m (a+b \tanh ^{-1}(c+d x))^3 \, dx\) [50]
  3.1.51 \(\int (e+f x)^m (a+b \tanh ^{-1}(c+d x))^2 \, dx\) [51]
  3.1.52 \(\int (e+f x)^m (a+b \tanh ^{-1}(c+d x)) \, dx\) [52]
  3.1.53 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+d x^3} \, dx\) [53]
  3.1.54 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+d x^2} \, dx\) [54]
  3.1.55 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+d x} \, dx\) [55]
  3.1.56 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+\genfrac {}{}{}{}{d}{x}} \, dx\) [56]
  3.1.57 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+\genfrac {}{}{}{}{d}{x^2}} \, dx\) [57]
  3.1.58 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+\genfrac {}{}{}{}{d}{x^3}} \, dx\) [58]
  3.1.59 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+d \sqrt {x}} \, dx\) [59]
  3.1.60 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(a+b x)}{c+\genfrac {}{}{}{}{d}{\sqrt {x}}} \, dx\) [60]
  3.1.61 \(\int \genfrac {}{}{}{}{\tanh ^{-1}(d+e x)}{a+b x+c x^2} \, dx\) [61]
  3.1.62 \(\int \genfrac {}{}{}{}{(c e+d e x) (a+b \tanh ^{-1}(c+d x))}{1-(c+d x)^2} \, dx\) [62]