Chapter 3
Listing of integrals

 3.1 \(\int \frac{\sin ^4(x)}{i+\tan (x)} \, dx\)
 3.2 \(\int \frac{\sin ^3(x)}{i+\tan (x)} \, dx\)
 3.3 \(\int \frac{\sin ^2(x)}{i+\tan (x)} \, dx\)
 3.4 \(\int \frac{\sin (x)}{i+\tan (x)} \, dx\)
 3.5 \(\int \frac{\csc (x)}{i+\tan (x)} \, dx\)
 3.6 \(\int \frac{\csc ^2(x)}{i+\tan (x)} \, dx\)
 3.7 \(\int \frac{\csc ^3(x)}{i+\tan (x)} \, dx\)
 3.8 \(\int \frac{\csc ^4(x)}{i+\tan (x)} \, dx\)
 3.9 \(\int \frac{\csc ^5(x)}{i+\tan (x)} \, dx\)
 3.10 \(\int \frac{\csc ^6(x)}{i+\tan (x)} \, dx\)
 3.11 \(\int \sin ^5(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.12 \(\int \sin ^4(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.13 \(\int \sin ^3(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.14 \(\int \sin ^2(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.15 \(\int \sin (c+d x) (a+b \tan (c+d x)) \, dx\)
 3.16 \(\int \csc (c+d x) (a+b \tan (c+d x)) \, dx\)
 3.17 \(\int \csc ^2(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.18 \(\int \csc ^3(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.19 \(\int \csc ^4(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.20 \(\int \csc ^5(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.21 \(\int \csc ^6(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.22 \(\int \sin ^4(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.23 \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.24 \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.25 \(\int \sin (c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.26 \(\int \csc (c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.27 \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.28 \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.29 \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.30 \(\int \csc ^5(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.31 \(\int \csc ^6(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.32 \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.33 \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.34 \(\int \sin (c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.35 \(\int \csc (c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.36 \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.37 \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.38 \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.39 \(\int \csc ^5(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.40 \(\int \csc ^6(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.41 \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.42 \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.43 \(\int \sin (c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.44 \(\int \csc (c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.45 \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.46 \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.47 \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.48 \(\int \csc ^5(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.49 \(\int \csc ^6(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.50 \(\int \csc ^7(c+d x) (a+b \tan (c+d x))^4 \, dx\)
 3.51 \(\int \frac{\sin ^5(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.52 \(\int \frac{\sin ^4(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.53 \(\int \frac{\sin ^3(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.54 \(\int \frac{\sin ^2(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.55 \(\int \frac{\sin (c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.56 \(\int \frac{\csc (c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.57 \(\int \frac{\csc ^2(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.58 \(\int \frac{\csc ^3(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.59 \(\int \frac{\csc ^4(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.60 \(\int \frac{\csc ^6(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.61 \(\int \frac{\sin ^6(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.62 \(\int \frac{\sin ^4(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.63 \(\int \frac{\sin ^2(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.64 \(\int \frac{\csc ^2(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.65 \(\int \frac{\csc ^4(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.66 \(\int \frac{\csc ^6(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.67 \(\int \frac{\sin ^6(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.68 \(\int \frac{\sin ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.69 \(\int \frac{\sin ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.70 \(\int \frac{\csc ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.71 \(\int \frac{\csc ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.72 \(\int \frac{\csc ^6(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.73 \(\int \frac{\sin ^4(c+d x)}{(a+b \tan (c+d x))^4} \, dx\)
 3.74 \(\int \frac{\sin ^2(c+d x)}{(a+b \tan (c+d x))^4} \, dx\)
 3.75 \(\int \frac{\csc ^2(c+d x)}{(a+b \tan (c+d x))^4} \, dx\)
 3.76 \(\int \frac{\csc ^4(c+d x)}{(a+b \tan (c+d x))^4} \, dx\)
 3.77 \(\int \frac{\csc ^6(c+d x)}{(a+b \tan (c+d x))^4} \, dx\)
 3.78 \(\int \frac{\csc (x)}{1+\tan (x)} \, dx\)
 3.79 \(\int \sin ^m(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.80 \(\int \sin ^m(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.81 \(\int \sin ^m(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.82 \(\int \frac{\sin ^m(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.83 \(\int \sin ^m(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.84 \(\int \sin ^4(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.85 \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.86 \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.87 \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.88 \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.89 \(\int \sin (c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.90 \(\int \csc (c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.91 \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^n \, dx\)