\(\int \genfrac {}{}{}{}{A+B \cos (x)}{a+b \sin (x)} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{A+B \cos (x)}{1+\sin (x)} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{A+B \cos (x)}{1-\sin (x)} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{b+c+\cos (x)}{a+b \sin (x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{b+c+\cos (x)}{a-b \sin (x)} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{A+B \tan (x)}{a+b \sin (x)} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{A+B \cot (x)}{a+b \sin (x)} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{A+B \sec (x)}{a+b \sin (x)} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{A+B \csc (x)}{a+b \sin (x)} \, dx\) [9]