3.7 Integrals 601 to 700

\(\int \genfrac {}{}{}{}{1}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))^{5/2}} \, dx\) [601]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [602]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [603]
\(\int \genfrac {}{}{}{}{\sqrt {c+d \sin (e+f x)}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [604]
\(\int \genfrac {}{}{}{}{1}{(a+a \sin (e+f x))^{3/2} \sqrt {c+d \sin (e+f x)}} \, dx\) [605]
\(\int \genfrac {}{}{}{}{1}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{3/2}} \, dx\) [606]
\(\int \genfrac {}{}{}{}{1}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{5/2}} \, dx\) [607]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [608]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [609]
\(\int \genfrac {}{}{}{}{\sqrt {c+d \sin (e+f x)}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [610]
\(\int \genfrac {}{}{}{}{1}{(a+a \sin (e+f x))^{5/2} \sqrt {c+d \sin (e+f x)}} \, dx\) [611]
\(\int \genfrac {}{}{}{}{1}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{3/2}} \, dx\) [612]
\(\int \genfrac {}{}{}{}{1}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^{5/2}} \, dx\) [613]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [614]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^3 \, dx\) [615]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^2 \, dx\) [616]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x)) \, dx\) [617]
\(\int (a+a \sin (e+f x))^m \, dx\) [618]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m}{c+d \sin (e+f x)} \, dx\) [619]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^2} \, dx\) [620]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^3} \, dx\) [621]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} \, dx\) [622]
\(\int (a+a \sin (e+f x))^m \sqrt {c+d \sin (e+f x)} \, dx\) [623]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m}{\sqrt {c+d \sin (e+f x)}} \, dx\) [624]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^{3/2}} \, dx\) [625]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^{5/2}} \, dx\) [626]
\(\int (1+\sin (e+f x))^m (3+5 \sin (e+f x))^{-1-m} \, dx\) [627]
\(\int (1+\sin (e+f x))^m (3+4 \sin (e+f x))^{-1-m} \, dx\) [628]
\(\int (1+\sin (e+f x))^m (3+3 \sin (e+f x))^{-1-m} \, dx\) [629]
\(\int (1+\sin (e+f x))^m (3+2 \sin (e+f x))^{-1-m} \, dx\) [630]
\(\int (1+\sin (e+f x))^m (3+\sin (e+f x))^{-1-m} \, dx\) [631]
\(\int 3^{-1-m} (1+\sin (e+f x))^m \, dx\) [632]
\(\int (3-\sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\) [633]
\(\int (3-2 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\) [634]
\(\int (3-3 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\) [635]
\(\int (3-4 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\) [636]
\(\int (3-5 \sin (e+f x))^{-1-m} (1+\sin (e+f x))^m \, dx\) [637]
\(\int (3+5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [638]
\(\int (3+4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [639]
\(\int (3+3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [640]
\(\int (3+2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [641]
\(\int (3+\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [642]
\(\int 3^{-1-m} (a+a \sin (e+f x))^m \, dx\) [643]
\(\int (3-\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [644]
\(\int (3-2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [645]
\(\int (3-3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [646]
\(\int (3-4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [647]
\(\int (3-5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [648]
\(\int (-3+5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [649]
\(\int (-3+4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [650]
\(\int (-3+3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [651]
\(\int (-3+2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [652]
\(\int (-3+\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [653]
\(\int (-3)^{-1-m} (a+a \sin (e+f x))^m \, dx\) [654]
\(\int (-3-\sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [655]
\(\int (-3-2 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [656]
\(\int (-3-3 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [657]
\(\int (-3-4 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [658]
\(\int (-3-5 \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [659]
\(\int (d \sin (e+f x))^{-1-m} (a+a \sin (e+f x))^m \, dx\) [660]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-1-m} \, dx\) [661]
\(\int (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^n \, dx\) [662]
\(\int (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [663]
\(\int (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [664]
\(\int (c+d \sin (e+f x))^n \, dx\) [665]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [666]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [667]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [668]
\(\int (a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^n \, dx\) [669]
\(\int (a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^n \, dx\) [670]
\(\int \sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))^n \, dx\) [671]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^n}{\sqrt {a+a \sin (e+f x)}} \, dx\) [672]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^{3/2}} \, dx\) [673]
\(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^{5/2}} \, dx\) [674]
\(\int (a+a \sin (e+f x)) \sqrt [3]{c+d \sin (e+f x)} \, dx\) [675]
\(\int \genfrac {}{}{}{}{a+a \sin (e+f x)}{\sqrt [3]{c+d \sin (e+f x)}} \, dx\) [676]
\(\int \genfrac {}{}{}{}{a+a \sin (e+f x)}{(c+d \sin (e+f x))^{4/3}} \, dx\) [677]
\(\int (a+b \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [678]
\(\int (a+b \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [679]
\(\int (a+b \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [680]
\(\int (a+b \sin (e+f x)) \, dx\) [681]
\(\int \genfrac {}{}{}{}{a+b \sin (e+f x)}{c+d \sin (e+f x)} \, dx\) [682]
\(\int \genfrac {}{}{}{}{a+b \sin (e+f x)}{(c+d \sin (e+f x))^2} \, dx\) [683]
\(\int \genfrac {}{}{}{}{a+b \sin (e+f x)}{(c+d \sin (e+f x))^3} \, dx\) [684]
\(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^3 \, dx\) [685]
\(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^2 \, dx\) [686]
\(\int (a+b \sin (e+f x))^2 (c+d \sin (e+f x)) \, dx\) [687]
\(\int (a+b \sin (e+f x))^2 \, dx\) [688]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2}{c+d \sin (e+f x)} \, dx\) [689]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^2} \, dx\) [690]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^3} \, dx\) [691]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2}{(c+d \sin (e+f x))^4} \, dx\) [692]
\(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x))^3 \, dx\) [693]
\(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x))^2 \, dx\) [694]
\(\int (a+b \sin (e+f x))^3 (c+d \sin (e+f x)) \, dx\) [695]
\(\int (a+b \sin (e+f x))^3 \, dx\) [696]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^3}{c+d \sin (e+f x)} \, dx\) [697]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^2} \, dx\) [698]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^3} \, dx\) [699]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^3}{(c+d \sin (e+f x))^4} \, dx\) [700]