3.1 Integrals 1 to 19

   \(\int \genfrac {}{}{}{}{\sin ^4(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{\sin ^3(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{\sin (x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{1}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{\csc (x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{\csc ^3(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{\cos ^3(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{\cos ^2(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{\cos (x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{\sec (x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{\sec ^2(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{\sec ^3(x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{\cos (x)}{-6+\sin (x)+\sin ^2(x)} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\cos (x)}{2-3 \sin (x)+\sin ^2(x)} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{\cos (x)}{-5+4 \sin (x)+\sin ^2(x)} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{\cos (x)}{10-6 \sin (x)+\sin ^2(x)} \, dx\) [18]
   \(\int \genfrac {}{}{}{}{\cos (x)}{2+2 \sin (x)+\sin ^2(x)} \, dx\) [19]