3.6 Integrals 501 to 525

\(\int (a+b \sin ^4(c+d x))^p \tan ^2(c+d x) \, dx\) [501]
\(\int (a+b \sin ^4(c+d x))^p \, dx\) [502]
\(\int \cot ^2(c+d x) (a+b \sin ^4(c+d x))^p \, dx\) [503]
\(\int \cot ^4(c+d x) (a+b \sin ^4(c+d x))^p \, dx\) [504]
\(\int (a+b \sin ^n(c+d x))^3 \tan ^m(c+d x) \, dx\) [505]
\(\int (a+b \sin ^n(c+d x))^2 \tan ^m(c+d x) \, dx\) [506]
\(\int (a+b \sin ^n(c+d x)) \tan ^m(c+d x) \, dx\) [507]
\(\int \genfrac {}{}{}{}{\tan ^m(c+d x)}{a+b \sin ^n(c+d x)} \, dx\) [508]
\(\int \genfrac {}{}{}{}{\tan ^m(c+d x)}{(a+b \sin ^n(c+d x))^2} \, dx\) [509]
\(\int \cot (x) \sqrt {a+b \sin ^n(x)} \, dx\) [510]
\(\int \genfrac {}{}{}{}{\cot (x)}{\sqrt {a+b \sin ^n(x)}} \, dx\) [511]
\(\int (a+b \sin ^n(c+d x))^p \tan ^m(c+d x) \, dx\) [512]
\(\int (a+b \sin ^n(c+d x))^p \tan ^3(c+d x) \, dx\) [513]
\(\int (a+b \sin ^n(c+d x))^p \tan (c+d x) \, dx\) [514]
\(\int \cot (c+d x) (a+b \sin ^n(c+d x))^p \, dx\) [515]
\(\int \cot ^3(c+d x) (a+b \sin ^n(c+d x))^p \, dx\) [516]
\(\int (a+b \sin ^n(c+d x))^p \tan ^4(c+d x) \, dx\) [517]
\(\int (a+b \sin ^n(c+d x))^p \tan ^2(c+d x) \, dx\) [518]
\(\int (a+b \sin ^n(c+d x))^p \, dx\) [519]
\(\int \cot ^2(c+d x) (a+b \sin ^n(c+d x))^p \, dx\) [520]
\(\int \cot ^4(c+d x) (a+b \sin ^n(c+d x))^p \, dx\) [521]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(e+f x)}{(g \cos (e+f x))^{5/2} \sqrt {d \sin (e+f x)}} \, dx\) [522]
\(\int (c \cos (e+f x))^m (d \sin (e+f x))^n (a+b \sin ^2(e+f x))^p \, dx\) [523]
\(\int \sqrt {a+(c \cos (e+f x)+b \sin (e+f x))^2} \, dx\) [524]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+(c \cos (e+f x)+b \sin (e+f x))^2}} \, dx\) [525]