Chapter 3
Listing of integrals

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