\(\int \genfrac {}{}{}{}{A+B \sin (x)}{a+b \cos (x)} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{A+B \sin (x)}{1+\cos (x)} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{A+B \sin (x)}{1-\cos (x)} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{b+c+\sin (x)}{a+b \cos (x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{b+c+\sin (x)}{a-b \cos (x)} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{A+B \tan (x)}{a+b \cos (x)} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{A+B \cot (x)}{a+b \cos (x)} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{A+B \csc (x)}{a+b \cos (x)} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{(c+d \sec (e+f x))^4}{a+b \cos (e+f x)} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{(c+d \sec (e+f x))^3}{a+b \cos (e+f x)} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{(c+d \sec (e+f x))^2}{a+b \cos (e+f x)} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{c+d \sec (e+f x)}{a+b \cos (e+f x)} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (e+f x)) (c+d \sec (e+f x))} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (e+f x)) (c+d \sec (e+f x))^2} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (e+f x)) (c+d \sec (e+f x))^3} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d \sec (e+f x)}}{a+b \cos (e+f x)} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (e+f x)) \sqrt {c+d \sec (e+f x)}} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{A+B \cos (d+e x)+C \sin (d+e x)}{a+b \cos (d+e x)} \, dx\) [18]
   \(\int \genfrac {}{}{}{}{A+B \cos (d+e x)+C \sin (d+e x)}{(a+b \cos (d+e x))^2} \, dx\) [19]
   \(\int \genfrac {}{}{}{}{A+B \cos (d+e x)+C \sin (d+e x)}{(a+b \cos (d+e x))^3} \, dx\) [20]
   \(\int \genfrac {}{}{}{}{A+B \cos (d+e x)+C \sin (d+e x)}{(a+b \cos (d+e x))^4} \, dx\) [21]