3.6 Integrals 501 to 538

3.6.1 \(\int \csc ^2(e+f x) (b \sec (e+f x))^n \, dx\) [501]
3.6.2 \(\int \csc ^4(e+f x) (b \sec (e+f x))^n \, dx\) [502]
3.6.3 \(\int (b \sec (a+b x))^n (c \sin (a+b x))^{3/2} \, dx\) [503]
3.6.4 \(\int (b \sec (a+b x))^n \sqrt {c \sin (a+b x)} \, dx\) [504]
3.6.5 \(\int \genfrac {}{}{}{}{(b \sec (a+b x))^n}{\sqrt {c \sin (a+b x)}} \, dx\) [505]
3.6.6 \(\int \genfrac {}{}{}{}{(b \sec (a+b x))^n}{(c \sin (a+b x))^{3/2}} \, dx\) [506]
3.6.7 \(\int \sqrt {d \csc (e+f x)} \sin ^4(e+f x) \, dx\) [507]
3.6.8 \(\int \sqrt {d \csc (e+f x)} \sin ^3(e+f x) \, dx\) [508]
3.6.9 \(\int \sqrt {d \csc (e+f x)} \sin ^2(e+f x) \, dx\) [509]
3.6.10 \(\int \sqrt {d \csc (e+f x)} \sin (e+f x) \, dx\) [510]
3.6.11 \(\int \sqrt {d \csc (e+f x)} \, dx\) [511]
3.6.12 \(\int \csc (e+f x) \sqrt {d \csc (e+f x)} \, dx\) [512]
3.6.13 \(\int \csc ^2(e+f x) \sqrt {d \csc (e+f x)} \, dx\) [513]
3.6.14 \(\int \csc ^3(e+f x) \sqrt {d \csc (e+f x)} \, dx\) [514]
3.6.15 \(\int (d \csc (e+f x))^{3/2} \sin ^5(e+f x) \, dx\) [515]
3.6.16 \(\int (d \csc (e+f x))^{3/2} \sin ^4(e+f x) \, dx\) [516]
3.6.17 \(\int (d \csc (e+f x))^{3/2} \sin ^3(e+f x) \, dx\) [517]
3.6.18 \(\int (d \csc (e+f x))^{3/2} \sin ^2(e+f x) \, dx\) [518]
3.6.19 \(\int (d \csc (e+f x))^{3/2} \sin (e+f x) \, dx\) [519]
3.6.20 \(\int (d \csc (e+f x))^{3/2} \, dx\) [520]
3.6.21 \(\int \csc (e+f x) (d \csc (e+f x))^{3/2} \, dx\) [521]
3.6.22 \(\int \csc ^2(e+f x) (d \csc (e+f x))^{3/2} \, dx\) [522]
3.6.23 \(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [523]
3.6.24 \(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [524]
3.6.25 \(\int \genfrac {}{}{}{}{\sin (e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [525]
3.6.26 \(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (e+f x)}} \, dx\) [526]
3.6.27 \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [527]
3.6.28 \(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [528]
3.6.29 \(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{\sqrt {d \csc (e+f x)}} \, dx\) [529]
3.6.30 \(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [530]
3.6.31 \(\int \genfrac {}{}{}{}{\sin (e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [531]
3.6.32 \(\int \genfrac {}{}{}{}{1}{(d \csc (e+f x))^{3/2}} \, dx\) [532]
3.6.33 \(\int \genfrac {}{}{}{}{\csc (e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [533]
3.6.34 \(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [534]
3.6.35 \(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [535]
3.6.36 \(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [536]
3.6.37 \(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{(d \csc (e+f x))^{3/2}} \, dx\) [537]
3.6.38 \(\int (b \csc (e+f x))^n (a \sin (e+f x))^m \, dx\) [538]