3.4.1 \(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [301]
3.4.2 \(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [302]
3.4.3 \(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) \, dx\) [303]
3.4.4 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [304]
3.4.5 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [305]
3.4.6 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [306]
3.4.7 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{\sqrt {a+a \sin (e+f x)}} \, dx\) [307]
3.4.8 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{\sqrt {a+a \sin (e+f x)}} \, dx\) [308]
3.4.9 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{\sqrt {a+a \sin (e+f x)}} \, dx\) [309]
3.4.10 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)}} \, dx\) [310]
3.4.11 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [311]
3.4.12 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))^2} \, dx\) [312]
3.4.13 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))^3} \, dx\) [313]
3.4.14 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^{3/2}} \, dx\) [314]
3.4.15 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^{3/2}} \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{(a+a \sin (e+f x))^{3/2}} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2}} \, dx\) [317]
3.4.18 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))} \, dx\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^2} \, dx\) [319]
3.4.20 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^3} \, dx\) [320]
3.4.21 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^{5/2}} \, dx\) [321]
3.4.22 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^{5/2}} \, dx\) [322]
3.4.23 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{(a+a \sin (e+f x))^{5/2}} \, dx\) [323]
3.4.24 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2}} \, dx\) [324]
3.4.25 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^2} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^3} \, dx\) [327]
3.4.28 \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [328]
3.4.29 \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [329]
3.4.30 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [331]
3.4.32 \(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [332]
3.4.33 \(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [333]
3.4.34 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{\sqrt {a+a \sin (e+f x)}} \, dx\) [334]
3.4.35 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^{3/2}} \, dx\) [335]
3.4.36 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [336]
3.4.37 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [337]
3.4.38 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [338]
3.4.39 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [339]
3.4.40 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [340]
3.4.41 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [341]
3.4.42 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^{3/2} \, dx\) [342]
3.4.43 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \sqrt {c+d \sin (e+f x)} \, dx\) [343]
3.4.44 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{\sqrt {c+d \sin (e+f x)}} \, dx\) [344]
3.4.45 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\) [345]
3.4.46 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [346]
3.4.47 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^{-1-m} \, dx\) [347]
3.4.48 \(\int (a-a \sin (e+f x)) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [348]
3.4.49 \(\int (a-a \sin (e+f x)) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-1-m} \, dx\) [349]
3.4.50 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (d-(c-d) m+(c+(c-d) m) \sin (e+f x)) \, dx\) [350]
3.4.51 \(\int (a-a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (d+(c+d) m+(c+(c+d) m) \sin (e+f x)) \, dx\) [351]
3.4.52 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2 (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [352]
3.4.53 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^{3/2}}{(a+b \sin (e+f x))^{3/2}} \, dx\) [353]
3.4.54 \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c+d \sin (e+f x)}}{(a+b \sin (e+f x))^{3/2}} \, dx\) [354]
3.4.55 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+b \sin (e+f x))^{3/2} \sqrt {c+d \sin (e+f x)}} \, dx\) [355]
3.4.56 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{3/2}} \, dx\) [356]
3.4.57 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{5/2}} \, dx\) [357]
3.4.58 \(\int (a+b \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [358]