3.7.1 \(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} (a+b \sin (c+d x))^3} \, dx\) [601]
  3.7.2 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} (a+b \sin (c+d x))^3} \, dx\) [602]
  3.7.3 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} (a+b \sin (c+d x))^3} \, dx\) [603]
  3.7.4 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{7/2} (a+b \sin (c+d x))^3} \, dx\) [604]
  3.7.5 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{15/2}}{(a+b \sin (c+d x))^4} \, dx\) [605]
  3.7.6 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{13/2}}{(a+b \sin (c+d x))^4} \, dx\) [606]
  3.7.7 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{11/2}}{(a+b \sin (c+d x))^4} \, dx\) [607]
  3.7.8 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{9/2}}{(a+b \sin (c+d x))^4} \, dx\) [608]
  3.7.9 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{7/2}}{(a+b \sin (c+d x))^4} \, dx\) [609]
  3.7.10 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/2}}{(a+b \sin (c+d x))^4} \, dx\) [610]
  3.7.11 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{3/2}}{(a+b \sin (c+d x))^4} \, dx\) [611]
  3.7.12 \(\int \genfrac {}{}{}{}{\sqrt {e \cos (c+d x)}}{(a+b \sin (c+d x))^4} \, dx\) [612]
  3.7.13 \(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} (a+b \sin (c+d x))^4} \, dx\) [613]
  3.7.14 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} (a+b \sin (c+d x))^4} \, dx\) [614]
  3.7.15 \(\int \genfrac {}{}{}{}{1}{\sqrt {c \cos (e+f x)} \sqrt {a+b \sin (e+f x)}} \, dx\) [615]
  3.7.16 \(\int (e \cos (c+d x))^p (a+b \sin (c+d x))^3 \, dx\) [616]
  3.7.17 \(\int (e \cos (c+d x))^p (a+b \sin (c+d x))^2 \, dx\) [617]
  3.7.18 \(\int (e \cos (c+d x))^p (a+b \sin (c+d x)) \, dx\) [618]
  3.7.19 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{a+b \sin (c+d x)} \, dx\) [619]
  3.7.20 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+b \sin (c+d x))^2} \, dx\) [620]
  3.7.21 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+b \sin (c+d x))^3} \, dx\) [621]
  3.7.22 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+b \sin (c+d x))^8} \, dx\) [622]
  3.7.23 \(\int (e \cos (c+d x))^p (a+b \sin (c+d x))^{5/2} \, dx\) [623]
  3.7.24 \(\int (e \cos (c+d x))^p (a+b \sin (c+d x))^{3/2} \, dx\) [624]
  3.7.25 \(\int (e \cos (c+d x))^p \sqrt {a+b \sin (c+d x)} \, dx\) [625]
  3.7.26 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{\sqrt {a+b \sin (c+d x)}} \, dx\) [626]
  3.7.27 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+b \sin (c+d x))^{3/2}} \, dx\) [627]
  3.7.28 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+b \sin (c+d x))^{5/2}} \, dx\) [628]
  3.7.29 \(\int (e \cos (c+d x))^p (a+b \sin (c+d x))^m \, dx\) [629]
  3.7.30 \(\int \cos ^7(c+d x) (a+b \sin (c+d x))^m \, dx\) [630]
  3.7.31 \(\int \cos ^5(c+d x) (a+b \sin (c+d x))^m \, dx\) [631]
  3.7.32 \(\int \cos ^3(c+d x) (a+b \sin (c+d x))^m \, dx\) [632]
  3.7.33 \(\int \cos (c+d x) (a+b \sin (c+d x))^m \, dx\) [633]
  3.7.34 \(\int \sec (c+d x) (a+b \sin (c+d x))^m \, dx\) [634]
  3.7.35 \(\int \sec ^3(c+d x) (a+b \sin (c+d x))^m \, dx\) [635]
  3.7.36 \(\int \sec ^5(c+d x) (a+b \sin (c+d x))^m \, dx\) [636]
  3.7.37 \(\int \cos ^4(c+d x) (a+b \sin (c+d x))^m \, dx\) [637]
  3.7.38 \(\int \cos ^2(c+d x) (a+b \sin (c+d x))^m \, dx\) [638]
  3.7.39 \(\int \sec ^2(c+d x) (a+b \sin (c+d x))^m \, dx\) [639]
  3.7.40 \(\int \sec ^4(c+d x) (a+b \sin (c+d x))^m \, dx\) [640]
  3.7.41 \(\int (e \cos (c+d x))^{5/2} (a+b \sin (c+d x))^m \, dx\) [641]
  3.7.42 \(\int (e \cos (c+d x))^{3/2} (a+b \sin (c+d x))^m \, dx\) [642]
  3.7.43 \(\int \sqrt {e \cos (c+d x)} (a+b \sin (c+d x))^m \, dx\) [643]
  3.7.44 \(\int \genfrac {}{}{}{}{(a+b \sin (c+d x))^m}{\sqrt {e \cos (c+d x)}} \, dx\) [644]
  3.7.45 \(\int \genfrac {}{}{}{}{(a+b \sin (c+d x))^m}{(e \cos (c+d x))^{3/2}} \, dx\) [645]
  3.7.46 \(\int \genfrac {}{}{}{}{(a+b \sin (c+d x))^m}{(e \cos (c+d x))^{5/2}} \, dx\) [646]
  3.7.47 \(\int (e \cos (c+d x))^{-4-m} (a+b \sin (c+d x))^m \, dx\) [647]
  3.7.48 \(\int (e \cos (c+d x))^{-3-m} (a+b \sin (c+d x))^m \, dx\) [648]
  3.7.49 \(\int (e \cos (c+d x))^{-2-m} (a+b \sin (c+d x))^m \, dx\) [649]
  3.7.50 \(\int (e \cos (c+d x))^{-1-m} (a+b \sin (c+d x))^m \, dx\) [650]
  3.7.51 \(\int (e \cos (c+d x))^{-m} (a+b \sin (c+d x))^m \, dx\) [651]
  3.7.52 \(\int (e \cos (c+d x))^{1-m} (a+b \sin (c+d x))^m \, dx\) [652]
  3.7.53 \(\int (e \cos (c+d x))^{2-m} (a+b \sin (c+d x))^m \, dx\) [653]