3.4 Integrals 301 to 358

\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [301]
\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [302]
\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) \, dx\) [303]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [304]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [306]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{\sqrt {a+a \sin (e+f x)}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{\sqrt {a+a \sin (e+f x)}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{\sqrt {a+a \sin (e+f x)}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [311]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))^2} \, dx\) [312]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))^3} \, dx\) [313]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^{3/2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^{3/2}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{(a+a \sin (e+f x))^{3/2}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))} \, dx\) [318]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^2} \, dx\) [319]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))^3} \, dx\) [320]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^{5/2}} \, dx\) [321]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^{5/2}} \, dx\) [322]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{(a+a \sin (e+f x))^{5/2}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2}} \, dx\) [324]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))} \, dx\) [325]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^2} \, dx\) [326]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c+d \sin (e+f x))^3} \, dx\) [327]
\(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [328]
\(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [329]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [330]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [331]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [332]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [333]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{\sqrt {a+a \sin (e+f x)}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^{3/2}} \, dx\) [335]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [336]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [337]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [338]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [339]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [341]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^{3/2} \, dx\) [342]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \sqrt {c+d \sin (e+f x)} \, dx\) [343]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{\sqrt {c+d \sin (e+f x)}} \, dx\) [344]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\) [345]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [346]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^{-1-m} \, dx\) [347]
\(\int (a-a \sin (e+f x)) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [348]
\(\int (a-a \sin (e+f x)) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-1-m} \, dx\) [349]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (d-(c-d) m+(c+(c-d) m) \sin (e+f x)) \, dx\) [350]
\(\int (a-a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (d+(c+d) m+(c+(c+d) m) \sin (e+f x)) \, dx\) [351]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2 (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [352]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^{3/2}}{(a+b \sin (e+f x))^{3/2}} \, dx\) [353]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c+d \sin (e+f x)}}{(a+b \sin (e+f x))^{3/2}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+b \sin (e+f x))^{3/2} \sqrt {c+d \sin (e+f x)}} \, dx\) [355]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{3/2}} \, dx\) [356]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+b \sin (e+f x))^{3/2} (c+d \sin (e+f x))^{5/2}} \, dx\) [357]
\(\int (a+b \sin (e+f x))^m (A+B \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [358]