3.9.1 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [801]
  3.9.2 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^2 \, dx\) [802]
  3.9.3 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x)) \, dx\) [803]
  3.9.4 \(\int (a+b \sin (e+f x))^m \, dx\) [804]
  3.9.5 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^m}{c+d \sin (e+f x)} \, dx\) [805]
  3.9.6 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^2} \, dx\) [806]
  3.9.7 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^3} \, dx\) [807]
  3.9.8 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^{5/2} \, dx\) [808]
  3.9.9 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} \, dx\) [809]
  3.9.10 \(\int (a+b \sin (e+f x))^m \sqrt {c+d \sin (e+f x)} \, dx\) [810]
  3.9.11 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^m}{\sqrt {c+d \sin (e+f x)}} \, dx\) [811]
  3.9.12 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^{3/2}} \, dx\) [812]
  3.9.13 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^m}{(c+d \sin (e+f x))^{5/2}} \, dx\) [813]
  3.9.14 \(\int (d \csc (e+f x))^n (a+a \sin (e+f x))^3 \, dx\) [814]
  3.9.15 \(\int (d \csc (e+f x))^n (a+a \sin (e+f x))^2 \, dx\) [815]
  3.9.16 \(\int (d \csc (e+f x))^n (a+a \sin (e+f x)) \, dx\) [816]
  3.9.17 \(\int \genfrac {}{}{}{}{(d \csc (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [817]
  3.9.18 \(\int \genfrac {}{}{}{}{(d \csc (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [818]
  3.9.19 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x))^m \, dx\) [819]
  3.9.20 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x))^3 \, dx\) [820]
  3.9.21 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x))^2 \, dx\) [821]
  3.9.22 \(\int (c (d \sin (e+f x))^p)^n (a+a \sin (e+f x)) \, dx\) [822]
  3.9.23 \(\int \genfrac {}{}{}{}{(c (d \sin (e+f x))^p)^n}{a+a \sin (e+f x)} \, dx\) [823]
  3.9.24 \(\int \genfrac {}{}{}{}{(c (d \sin (e+f x))^p)^n}{(a+a \sin (e+f x))^2} \, dx\) [824]
  3.9.25 \(\int (d \csc (e+f x))^n (a+b \sin (e+f x))^3 \, dx\) [825]
  3.9.26 \(\int (d \csc (e+f x))^n (a+b \sin (e+f x))^2 \, dx\) [826]
  3.9.27 \(\int (d \csc (e+f x))^n (a+b \sin (e+f x)) \, dx\) [827]
  3.9.28 \(\int \genfrac {}{}{}{}{(d \csc (e+f x))^n}{a+b \sin (e+f x)} \, dx\) [828]
  3.9.29 \(\int \genfrac {}{}{}{}{(d \csc (e+f x))^n}{(a+b \sin (e+f x))^2} \, dx\) [829]
  3.9.30 \(\int \genfrac {}{}{}{}{(d \csc (e+f x))^n}{(a+b \sin (e+f x))^3} \, dx\) [830]
  3.9.31 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x))^m \, dx\) [831]
  3.9.32 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x))^3 \, dx\) [832]
  3.9.33 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x))^2 \, dx\) [833]
  3.9.34 \(\int (c (d \sin (e+f x))^p)^n (a+b \sin (e+f x)) \, dx\) [834]
  3.9.35 \(\int \genfrac {}{}{}{}{(c (d \sin (e+f x))^p)^n}{a+b \sin (e+f x)} \, dx\) [835]
  3.9.36 \(\int \genfrac {}{}{}{}{(c (d \sin (e+f x))^p)^n}{(a+b \sin (e+f x))^2} \, dx\) [836]
  3.9.37 \(\int \genfrac {}{}{}{}{(c (d \sin (e+f x))^p)^n}{(a+b \sin (e+f x))^3} \, dx\) [837]