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