3.7 Integrals 601 to 700

\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{9/2}} \, dx\) [601]
\(\int (d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^3 \, dx\) [602]
\(\int (d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^3 \, dx\) [603]
\(\int \sqrt {d \sec (e+f x)} (a+b \tan (e+f x))^3 \, dx\) [604]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{\sqrt {d \sec (e+f x)}} \, dx\) [605]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{3/2}} \, dx\) [606]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{5/2}} \, dx\) [607]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{7/2}} \, dx\) [608]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{9/2}} \, dx\) [609]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{11/2}} \, dx\) [610]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{a+b \tan (e+f x)} \, dx\) [611]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{a+b \tan (e+f x)} \, dx\) [612]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{a+b \tan (e+f x)} \, dx\) [613]
\(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{a+b \tan (e+f x)} \, dx\) [614]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (a+b \tan (e+f x))} \, dx\) [615]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))} \, dx\) [616]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))} \, dx\) [617]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{(a+b \tan (e+f x))^2} \, dx\) [618]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{(a+b \tan (e+f x))^2} \, dx\) [619]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{(a+b \tan (e+f x))^2} \, dx\) [620]
\(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{(a+b \tan (e+f x))^2} \, dx\) [621]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (a+b \tan (e+f x))^2} \, dx\) [622]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^2} \, dx\) [623]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^2} \, dx\) [624]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{(a+b \tan (e+f x))^3} \, dx\) [625]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{(a+b \tan (e+f x))^3} \, dx\) [626]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{(a+b \tan (e+f x))^3} \, dx\) [627]
\(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{(a+b \tan (e+f x))^3} \, dx\) [628]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (a+b \tan (e+f x))^3} \, dx\) [629]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^3} \, dx\) [630]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^3} \, dx\) [631]
\(\int (d \sec (e+f x))^{5/3} (a+b \tan (e+f x)) \, dx\) [632]
\(\int \sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x)) \, dx\) [633]
\(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{\sqrt [3]{d \sec (e+f x)}} \, dx\) [634]
\(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{(d \sec (e+f x))^{5/3}} \, dx\) [635]
\(\int (d \sec (e+f x))^{5/3} (a+b \tan (e+f x))^2 \, dx\) [636]
\(\int \sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))^2 \, dx\) [637]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{\sqrt [3]{d \sec (e+f x)}} \, dx\) [638]
\(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{5/3}} \, dx\) [639]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/3}}{a+b \tan (e+f x)} \, dx\) [640]
\(\int \genfrac {}{}{}{}{\sqrt [3]{d \sec (e+f x)}}{a+b \tan (e+f x)} \, dx\) [641]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))} \, dx\) [642]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/3} (a+b \tan (e+f x))} \, dx\) [643]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/3}}{(a+b \tan (e+f x))^2} \, dx\) [644]
\(\int \genfrac {}{}{}{}{\sqrt [3]{d \sec (e+f x)}}{(a+b \tan (e+f x))^2} \, dx\) [645]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))^2} \, dx\) [646]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/3} (a+b \tan (e+f x))^2} \, dx\) [647]
\(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^3 \, dx\) [648]
\(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^2 \, dx\) [649]
\(\int (d \sec (e+f x))^m (a+b \tan (e+f x)) \, dx\) [650]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^m}{a+b \tan (e+f x)} \, dx\) [651]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^m}{(a+b \tan (e+f x))^2} \, dx\) [652]
\(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^n \, dx\) [653]
\(\int \sec ^6(c+d x) (a+b \tan (c+d x))^n \, dx\) [654]
\(\int \sec ^4(c+d x) (a+b \tan (c+d x))^n \, dx\) [655]
\(\int \sec ^2(c+d x) (a+b \tan (c+d x))^n \, dx\) [656]
\(\int (a+b \tan (c+d x))^n \, dx\) [657]
\(\int \cos ^2(c+d x) (a+b \tan (c+d x))^n \, dx\) [658]
\(\int \cos ^4(c+d x) (a+b \tan (c+d x))^n \, dx\) [659]
\(\int \sec ^3(c+d x) (a+b \tan (c+d x))^n \, dx\) [660]
\(\int \sec (c+d x) (a+b \tan (c+d x))^n \, dx\) [661]
\(\int \cos (c+d x) (a+b \tan (c+d x))^n \, dx\) [662]
\(\int \cos ^3(c+d x) (a+b \tan (c+d x))^n \, dx\) [663]
\(\int (e \cos (c+d x))^{7/2} (a+i a \tan (c+d x)) \, dx\) [664]
\(\int (e \cos (c+d x))^{5/2} (a+i a \tan (c+d x)) \, dx\) [665]
\(\int (e \cos (c+d x))^{3/2} (a+i a \tan (c+d x)) \, dx\) [666]
\(\int \sqrt {e \cos (c+d x)} (a+i a \tan (c+d x)) \, dx\) [667]
\(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{\sqrt {e \cos (c+d x)}} \, dx\) [668]
\(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{(e \cos (c+d x))^{3/2}} \, dx\) [669]
\(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{(e \cos (c+d x))^{5/2}} \, dx\) [670]
\(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{(e \cos (c+d x))^{7/2}} \, dx\) [671]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{7/2}}{(a+i a \tan (c+d x))^2} \, dx\) [672]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/2}}{(a+i a \tan (c+d x))^2} \, dx\) [673]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{3/2}}{(a+i a \tan (c+d x))^2} \, dx\) [674]
\(\int \genfrac {}{}{}{}{\sqrt {e \cos (c+d x)}}{(a+i a \tan (c+d x))^2} \, dx\) [675]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} (a+i a \tan (c+d x))^2} \, dx\) [676]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} (a+i a \tan (c+d x))^2} \, dx\) [677]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} (a+i a \tan (c+d x))^2} \, dx\) [678]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{7/2} (a+i a \tan (c+d x))^2} \, dx\) [679]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{9/2} (a+i a \tan (c+d x))^2} \, dx\) [680]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{11/2} (a+i a \tan (c+d x))^2} \, dx\) [681]
\(\int (e \cos (c+d x))^{7/2} \sqrt {a+i a \tan (c+d x)} \, dx\) [682]
\(\int (e \cos (c+d x))^{5/2} \sqrt {a+i a \tan (c+d x)} \, dx\) [683]
\(\int (e \cos (c+d x))^{3/2} \sqrt {a+i a \tan (c+d x)} \, dx\) [684]
\(\int \sqrt {e \cos (c+d x)} \sqrt {a+i a \tan (c+d x)} \, dx\) [685]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{\sqrt {e \cos (c+d x)}} \, dx\) [686]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{(e \cos (c+d x))^{3/2}} \, dx\) [687]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{(e \cos (c+d x))^{5/2}} \, dx\) [688]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{(e \cos (c+d x))^{7/2}} \, dx\) [689]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/2}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [690]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{3/2}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [691]
\(\int \genfrac {}{}{}{}{\sqrt {e \cos (c+d x)}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [692]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} \sqrt {a+i a \tan (c+d x)}} \, dx\) [693]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [694]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [695]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{7/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [696]
\(\int (e \cos (c+d x))^m (a+i a \tan (c+d x))^n \, dx\) [697]
\(\int (e \cos (c+d x))^m (a+i a \tan (c+d x))^2 \, dx\) [698]
\(\int (e \cos (c+d x))^m (a+i a \tan (c+d x)) \, dx\) [699]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^m}{a+i a \tan (c+d x)} \, dx\) [700]