3.6 Integrals 501 to 538

   \(\int \csc ^2(e+f x) (b \sec (e+f x))^n \, dx\) [501]
   \(\int \csc ^4(e+f x) (b \sec (e+f x))^n \, dx\) [502]
   \(\int (b \sec (a+b x))^n (c \sin (a+b x))^{3/2} \, dx\) [503]
   \(\int (b \sec (a+b x))^n \sqrt {c \sin (a+b x)} \, dx\) [504]
   \(\int \genfrac {}{}{}{}{(b \sec (a+b x))^n}{\sqrt {c \sin (a+b x)}} \, dx\) [505]
   \(\int \genfrac {}{}{}{}{(b \sec (a+b x))^n}{(c \sin (a+b x))^{3/2}} \, dx\) [506]
   \(\int \sqrt {d \csc (e+f x)} \sin ^4(e+f x) \, dx\) [507]
   \(\int \sqrt {d \csc (e+f x)} \sin ^3(e+f x) \, dx\) [508]
   \(\int \sqrt {d \csc (e+f x)} \sin ^2(e+f x) \, dx\) [509]
   \(\int \sqrt {d \csc (e+f x)} \sin (e+f x) \, dx\) [510]
   \(\int \sqrt {d \csc (e+f x)} \, dx\) [511]
   \(\int \csc (e+f x) \sqrt {d \csc (e+f x)} \, dx\) [512]
   \(\int \csc ^2(e+f x) \sqrt {d \csc (e+f x)} \, dx\) [513]
   \(\int \csc ^3(e+f x) \sqrt {d \csc (e+f x)} \, dx\) [514]
   \(\int (d \csc (e+f x))^{3/2} \sin ^5(e+f x) \, dx\) [515]
   \(\int (d \csc (e+f x))^{3/2} \sin ^4(e+f x) \, dx\) [516]
   \(\int (d \csc (e+f x))^{3/2} \sin ^3(e+f x) \, dx\) [517]
   \(\int (d \csc (e+f x))^{3/2} \sin ^2(e+f x) \, dx\) [518]
   \(\int (d \csc (e+f x))^{3/2} \sin (e+f x) \, dx\) [519]
   \(\int (d \csc (e+f x))^{3/2} \, dx\) [520]
   \(\int \csc (e+f x) (d \csc (e+f x))^{3/2} \, dx\) [521]
   \(\int \csc ^2(e+f x) (d \csc (e+f x))^{3/2} \, dx\) [522]
   \(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [523]
   \(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [524]
   \(\int \genfrac {}{}{}{}{\sin (e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [525]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (e+f x)}} \, dx\) [526]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [527]
   \(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [528]
   \(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [529]
   \(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [530]
   \(\int \genfrac {}{}{}{}{\sin (e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [531]
   \(\int \genfrac {}{}{}{}{1}{(d \csc (e+f x))^{3/2}} \, dx\) [532]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [533]
   \(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [534]
   \(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [535]
   \(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [536]
   \(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [537]
   \(\int (b \csc (e+f x))^n (a \sin (e+f x))^m \, dx\) [538]