Chapter 3
Listing of integrals

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