3.1 \(\int \frac{\sin ^6(x)}{a-a \cos ^2(x)} \, dx\)
 3.2 \(\int \frac{\sin ^5(x)}{a-a \cos ^2(x)} \, dx\)
 3.3 \(\int \frac{\sin ^4(x)}{a-a \cos ^2(x)} \, dx\)
 3.4 \(\int \frac{\sin ^3(x)}{a-a \cos ^2(x)} \, dx\)
 3.5 \(\int \frac{\sin ^2(x)}{a-a \cos ^2(x)} \, dx\)
 3.6 \(\int \frac{\sin (x)}{a-a \cos ^2(x)} \, dx\)
 3.7 \(\int \frac{\csc (x)}{a-a \cos ^2(x)} \, dx\)
 3.8 \(\int \frac{\csc ^2(x)}{a-a \cos ^2(x)} \, dx\)
 3.9 \(\int \frac{\csc ^3(x)}{a-a \cos ^2(x)} \, dx\)
 3.10 \(\int \frac{\sin ^7(x)}{a+b \cos ^2(x)} \, dx\)
 3.11 \(\int \frac{\sin ^5(x)}{a+b \cos ^2(x)} \, dx\)
 3.12 \(\int \frac{\sin ^3(x)}{a+b \cos ^2(x)} \, dx\)
 3.13 \(\int \frac{\sin (x)}{a+b \cos ^2(x)} \, dx\)
 3.14 \(\int \frac{\csc (x)}{a+b \cos ^2(x)} \, dx\)
 3.15 \(\int \frac{\csc ^3(x)}{a+b \cos ^2(x)} \, dx\)
 3.16 \(\int \frac{\csc ^5(x)}{a+b \cos ^2(x)} \, dx\)
 3.17 \(\int \frac{\sin ^6(x)}{a+b \cos ^2(x)} \, dx\)
 3.18 \(\int \frac{\sin ^4(x)}{a+b \cos ^2(x)} \, dx\)
 3.19 \(\int \frac{\sin ^2(x)}{a+b \cos ^2(x)} \, dx\)
 3.20 \(\int \frac{1}{a+b \cos ^2(x)} \, dx\)
 3.21 \(\int \frac{\csc ^2(x)}{a+b \cos ^2(x)} \, dx\)
 3.22 \(\int \frac{\csc ^4(x)}{a+b \cos ^2(x)} \, dx\)
 3.23 \(\int \frac{\csc ^6(x)}{a+b \cos ^2(x)} \, dx\)
 3.24 \(\int \frac{\sin (x)}{4-3 \cos ^3(x)} \, dx\)
 3.25 \(\int \frac{1}{1-\cos ^2(x)} \, dx\)
 3.26 \(\int \frac{1}{(1-\cos ^2(x))^2} \, dx\)
 3.27 \(\int \frac{1}{(1-\cos ^2(x))^3} \, dx\)
 3.28 \(\int \frac{\cos ^7(x)}{a+b \cos ^2(x)} \, dx\)
 3.29 \(\int \frac{\cos ^5(x)}{a+b \cos ^2(x)} \, dx\)
 3.30 \(\int \frac{\cos ^3(x)}{a+b \cos ^2(x)} \, dx\)
 3.31 \(\int \frac{\cos (x)}{a+b \cos ^2(x)} \, dx\)
 3.32 \(\int \frac{\sec (x)}{a+b \cos ^2(x)} \, dx\)
 3.33 \(\int \frac{\sec ^3(x)}{a+b \cos ^2(x)} \, dx\)
 3.34 \(\int \frac{\sec ^5(x)}{a+b \cos ^2(x)} \, dx\)
 3.35 \(\int \frac{\cos ^6(x)}{a+b \cos ^2(x)} \, dx\)
 3.36 \(\int \frac{\cos ^4(x)}{a+b \cos ^2(x)} \, dx\)
 3.37 \(\int \frac{\cos ^2(x)}{a+b \cos ^2(x)} \, dx\)
 3.38 \(\int \frac{1}{a+b \cos ^2(x)} \, dx\)
 3.39 \(\int \frac{\sec ^2(x)}{a+b \cos ^2(x)} \, dx\)
 3.40 \(\int \frac{\sec ^4(x)}{a+b \cos ^2(x)} \, dx\)
 3.41 \(\int \frac{\sec ^6(x)}{a+b \cos ^2(x)} \, dx\)
 3.42 \(\int \frac{1}{(a+b \cos ^2(x))^2} \, dx\)
 3.43 \(\int \frac{1}{(a+b \cos ^2(x))^3} \, dx\)
 3.44 \(\int \frac{1}{1+\cos ^2(x)} \, dx\)
 3.45 \(\int \frac{1}{(1+\cos ^2(x))^2} \, dx\)
 3.46 \(\int \frac{1}{(1+\cos ^2(x))^3} \, dx\)
 3.47 \(\int \sqrt{1-\cos ^2(x)} \, dx\)
 3.48 \(\int \sqrt{-1+\cos ^2(x)} \, dx\)
 3.49 \(\int (1-\cos ^2(x))^{3/2} \, dx\)
 3.50 \(\int (-1+\cos ^2(x))^{3/2} \, dx\)
 3.51 \(\int \frac{1}{\sqrt{1-\cos ^2(x)}} \, dx\)
 3.52 \(\int \frac{1}{\sqrt{-1+\cos ^2(x)}} \, dx\)
 3.53 \(\int \frac{1}{(1-\cos ^2(x))^{3/2}} \, dx\)
 3.54 \(\int \frac{1}{(-1+\cos ^2(x))^{3/2}} \, dx\)
 3.55 \(\int \sqrt{1+\cos ^2(x)} \, dx\)
 3.56 \(\int \sqrt{-1-\cos ^2(x)} \, dx\)
 3.57 \(\int \sqrt{a+b \cos ^2(x)} \, dx\)
 3.58 \(\int (1+\cos ^2(x))^{3/2} \, dx\)
 3.59 \(\int (-1-\cos ^2(x))^{3/2} \, dx\)
 3.60 \(\int (a+b \cos ^2(x))^{3/2} \, dx\)
 3.61 \(\int \frac{1}{\sqrt{1+\cos ^2(x)}} \, dx\)
 3.62 \(\int \frac{1}{\sqrt{-1-\cos ^2(x)}} \, dx\)
 3.63 \(\int \frac{1}{\sqrt{a+b \cos ^2(x)}} \, dx\)
 3.64 \(\int \frac{1}{(1+\cos ^2(x))^{3/2}} \, dx\)
 3.65 \(\int \frac{1}{(-1-\cos ^2(x))^{3/2}} \, dx\)
 3.66 \(\int \frac{1}{(a+b \cos ^2(x))^{3/2}} \, dx\)
 3.67 \(\int \frac{\cos (x)}{\sqrt{1+\cos ^2(x)}} \, dx\)
 3.68 \(\int \frac{\cos (5+3 x)}{\sqrt{3+\cos ^2(5+3 x)}} \, dx\)
 3.69 \(\int \frac{\cos (x)}{\sqrt{4-\cos ^2(x)}} \, dx\)
 3.70 \(\int \frac{1}{a+b \cos ^4(x)} \, dx\)
 3.71 \(\int \frac{1}{a-b \cos ^4(x)} \, dx\)
 3.72 \(\int \frac{1}{1+\cos ^4(x)} \, dx\)
 3.73 \(\int \frac{1}{1-\cos ^4(x)} \, dx\)
 3.74 \(\int \frac{1}{a+b \cos ^5(x)} \, dx\)
 3.75 \(\int \frac{1}{a+b \cos ^6(x)} \, dx\)
 3.76 \(\int \frac{1}{a+b \cos ^8(x)} \, dx\)
 3.77 \(\int \frac{1}{a-b \cos ^5(x)} \, dx\)
 3.78 \(\int \frac{1}{a-b \cos ^6(x)} \, dx\)
 3.79 \(\int \frac{1}{a-b \cos ^8(x)} \, dx\)
 3.80 \(\int \frac{1}{1+\cos ^5(x)} \, dx\)
 3.81 \(\int \frac{1}{1+\cos ^6(x)} \, dx\)
 3.82 \(\int \frac{1}{1+\cos ^8(x)} \, dx\)
 3.83 \(\int \frac{1}{1-\cos ^5(x)} \, dx\)
 3.84 \(\int \frac{1}{1-\cos ^6(x)} \, dx\)
 3.85 \(\int \frac{1}{1-\cos ^8(x)} \, dx\)
 3.86 \(\int \frac{\tan (x)}{1+\cos ^2(x)} \, dx\)
 3.87 \(\int \sqrt{a+b \cos ^2(x)} \tan (x) \, dx\)
 3.88 \(\int \sqrt{1-\cos ^2(x)} \tan (x) \, dx\)
 3.89 \(\int \frac{\tan (x)}{\sqrt{a+b \cos ^2(x)}} \, dx\)
 3.90 \(\int \frac{\tan (x)}{\sqrt{1+\cos ^2(x)}} \, dx\)
 3.91 \(\int \frac{\tan (x)}{\sqrt{1-\cos ^2(x)}} \, dx\)
 3.92 \(\int \frac{\tan ^3(x)}{a+b \cos ^3(x)} \, dx\)
 3.93 \(\int \sqrt{a+b \cos ^3(x)} \tan (x) \, dx\)
 3.94 \(\int \frac{\tan (x)}{\sqrt{a+b \cos ^3(x)}} \, dx\)
 3.95 \(\int \sqrt{a+b \cos ^4(x)} \tan (x) \, dx\)
 3.96 \(\int \frac{\tan (x)}{\sqrt{a+b \cos ^4(x)}} \, dx\)
 3.97 \(\int \sqrt{a+b \cos ^n(x)} \tan (x) \, dx\)
 3.98 \(\int \frac{\tan (x)}{\sqrt{a+b \cos ^n(x)}} \, dx\)