Chapter 3
Listing of integrals

 3.1 \(\int x^3 \tanh ^{-1}(a+b x)^2 \, dx\)
 3.2 \(\int x^2 \tanh ^{-1}(a+b x)^2 \, dx\)
 3.3 \(\int x \tanh ^{-1}(a+b x)^2 \, dx\)
 3.4 \(\int \tanh ^{-1}(a+b x)^2 \, dx\)
 3.5 \(\int \frac{\tanh ^{-1}(a+b x)^2}{x} \, dx\)
 3.6 \(\int \frac{\tanh ^{-1}(a+b x)^2}{x^2} \, dx\)
 3.7 \(\int \frac{\tanh ^{-1}(a+b x)^2}{x^3} \, dx\)
 3.8 \(\int \frac{\tanh ^{-1}(1+b x)^2}{x} \, dx\)
 3.9 \(\int (c e+d e x)^3 (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.10 \(\int (c e+d e x)^2 (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.11 \(\int (c e+d e x) (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.12 \(\int \frac{a+b \tanh ^{-1}(c+d x)}{c e+d e x} \, dx\)
 3.13 \(\int \frac{a+b \tanh ^{-1}(c+d x)}{(c e+d e x)^2} \, dx\)
 3.14 \(\int \frac{a+b \tanh ^{-1}(c+d x)}{(c e+d e x)^3} \, dx\)
 3.15 \(\int (c e+d e x)^3 (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.16 \(\int (c e+d e x)^2 (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.17 \(\int (c e+d e x) (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.18 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{c e+d e x} \, dx\)
 3.19 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^2} \, dx\)
 3.20 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^3} \, dx\)
 3.21 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^4} \, dx\)
 3.22 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{(c e+d e x)^5} \, dx\)
 3.23 \(\int (c e+d e x)^2 (a+b \tanh ^{-1}(c+d x))^3 \, dx\)
 3.24 \(\int (c e+d e x) (a+b \tanh ^{-1}(c+d x))^3 \, dx\)
 3.25 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^3}{c e+d e x} \, dx\)
 3.26 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^3}{(c e+d e x)^2} \, dx\)
 3.27 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^3}{(c e+d e x)^3} \, dx\)
 3.28 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^3}{(c e+d e x)^4} \, dx\)
 3.29 \(\int \frac{\tanh ^{-1}(1+x)}{2+2 x} \, dx\)
 3.30 \(\int \frac{\tanh ^{-1}(a+b x)}{\frac{a d}{b}+d x} \, dx\)
 3.31 \(\int (e+f x)^3 (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.32 \(\int (e+f x)^2 (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.33 \(\int (e+f x) (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.34 \(\int (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.35 \(\int \frac{a+b \tanh ^{-1}(c+d x)}{e+f x} \, dx\)
 3.36 \(\int \frac{a+b \tanh ^{-1}(c+d x)}{(e+f x)^2} \, dx\)
 3.37 \(\int \frac{a+b \tanh ^{-1}(c+d x)}{(e+f x)^3} \, dx\)
 3.38 \(\int (e+f x)^3 (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.39 \(\int (e+f x)^2 (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.40 \(\int (e+f x) (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.41 \(\int (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.42 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{e+f x} \, dx\)
 3.43 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{(e+f x)^2} \, dx\)
 3.44 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^2}{(e+f x)^3} \, dx\)
 3.45 \(\int (e+f x)^2 (a+b \tanh ^{-1}(c+d x))^3 \, dx\)
 3.46 \(\int (e+f x) (a+b \tanh ^{-1}(c+d x))^3 \, dx\)
 3.47 \(\int (a+b \tanh ^{-1}(c+d x))^3 \, dx\)
 3.48 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^3}{e+f x} \, dx\)
 3.49 \(\int \frac{(a+b \tanh ^{-1}(c+d x))^3}{(e+f x)^2} \, dx\)
 3.50 \(\int (e+f x)^m (a+b \tanh ^{-1}(c+d x))^3 \, dx\)
 3.51 \(\int (e+f x)^m (a+b \tanh ^{-1}(c+d x))^2 \, dx\)
 3.52 \(\int (e+f x)^m (a+b \tanh ^{-1}(c+d x)) \, dx\)
 3.53 \(\int \frac{\tanh ^{-1}(a+b x)}{c+d x^3} \, dx\)
 3.54 \(\int \frac{\tanh ^{-1}(a+b x)}{c+d x^2} \, dx\)
 3.55 \(\int \frac{\tanh ^{-1}(a+b x)}{c+d x} \, dx\)
 3.56 \(\int \frac{\tanh ^{-1}(a+b x)}{c+\frac{d}{x}} \, dx\)
 3.57 \(\int \frac{\tanh ^{-1}(a+b x)}{c+\frac{d}{x^2}} \, dx\)
 3.58 \(\int \frac{\tanh ^{-1}(a+b x)}{c+\frac{d}{x^3}} \, dx\)
 3.59 \(\int \frac{\tanh ^{-1}(a+b x)}{c+d \sqrt{x}} \, dx\)
 3.60 \(\int \frac{\tanh ^{-1}(a+b x)}{c+\frac{d}{\sqrt{x}}} \, dx\)
 3.61 \(\int \frac{\tanh ^{-1}(d+e x)}{a+b x+c x^2} \, dx\)
 3.62 \(\int \frac{(c e+d e x) (a+b \tanh ^{-1}(c+d x))}{1-(c+d x)^2} \, dx\)