\(\int \genfrac {}{}{}{}{3}{5-4 \cos (x)} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{1+\cos (x)+2 \sin (x)}{3+\cos ^2(x)+2 \sin (x)-2 \cos (x) \sin (x)} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{2+\cos (x)+5 \sin (x)}{4 \cos (x)-2 \sin (x)+\cos (x) \sin (x)-2 \sin ^2(x)} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{3+7 \cos (x)+2 \sin (x)}{1+4 \cos (x)+3 \cos ^2(x)-5 \sin (x)-\cos (x) \sin (x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{-1+4 \cos (x)+5 \cos ^2(x)}{-1-4 \cos (x)-3 \cos ^2(x)+4 \cos ^3(x)} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{-5+2 \cos (x)+7 \cos ^2(x)}{-1+2 \cos (x)-9 \cos ^2(x)+4 \cos ^3(x)} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{3}{5+4 \sin (x)} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{2}{1+\cos ^2(x)} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{1}{p+q \cos (x)+r \sin (x)} \, dx\) [9]