3.4 Integrals 301 to 400

\(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} \sqrt {a+a \sin (c+d x)}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} \sqrt {a+a \sin (c+d x)}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} \sqrt {a+a \sin (c+d x)}} \, dx\) [303]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{7/2} \sqrt {a+a \sin (c+d x)}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{7/2}}{(a+a \sin (c+d x))^{3/2}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/2}}{(a+a \sin (c+d x))^{3/2}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{3/2}}{(a+a \sin (c+d x))^{3/2}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{\sqrt {e \cos (c+d x)}}{(a+a \sin (c+d x))^{3/2}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} (a+a \sin (c+d x))^{3/2}} \, dx\) [309]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} (a+a \sin (c+d x))^{3/2}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} (a+a \sin (c+d x))^{3/2}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{7/2} (a+a \sin (c+d x))^{3/2}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{9/2}}{(a+a \sin (c+d x))^{5/2}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{7/2}}{(a+a \sin (c+d x))^{5/2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/2}}{(a+a \sin (c+d x))^{5/2}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{3/2}}{(a+a \sin (c+d x))^{5/2}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{\sqrt {e \cos (c+d x)}}{(a+a \sin (c+d x))^{5/2}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} (a+a \sin (c+d x))^{5/2}} \, dx\) [318]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} (a+a \sin (c+d x))^{5/2}} \, dx\) [319]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} (a+a \sin (c+d x))^{5/2}} \, dx\) [320]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{7/3}}{\sqrt {a+a \sin (c+d x)}} \, dx\) [321]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/3}}{\sqrt {a+a \sin (c+d x)}} \, dx\) [322]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{2/3}}{\sqrt {a+a \sin (c+d x)}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{\sqrt [3]{e \cos (c+d x)}}{\sqrt {a+a \sin (c+d x)}} \, dx\) [324]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{e \cos (c+d x)} \sqrt {a+a \sin (c+d x)}} \, dx\) [325]
\(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{4/3} \sqrt {a+a \sin (c+d x)}} \, dx\) [326]
\(\int (e \cos (c+d x))^p (a+a \sin (c+d x))^3 \, dx\) [327]
\(\int (e \cos (c+d x))^p (a+a \sin (c+d x))^2 \, dx\) [328]
\(\int (e \cos (c+d x))^p (a+a \sin (c+d x)) \, dx\) [329]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{a+a \sin (c+d x)} \, dx\) [330]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+a \sin (c+d x))^2} \, dx\) [331]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+a \sin (c+d x))^3} \, dx\) [332]
\(\int (e \cos (c+d x))^p (a+a \sin (c+d x))^{5/2} \, dx\) [333]
\(\int (e \cos (c+d x))^p (a+a \sin (c+d x))^{3/2} \, dx\) [334]
\(\int (e \cos (c+d x))^p \sqrt {a+a \sin (c+d x)} \, dx\) [335]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{\sqrt {a+a \sin (c+d x)}} \, dx\) [336]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+a \sin (c+d x))^{3/2}} \, dx\) [337]
\(\int \genfrac {}{}{}{}{(e \cos (c+d x))^p}{(a+a \sin (c+d x))^{5/2}} \, dx\) [338]
\(\int (e \cos (c+d x))^p (a+a \sin (c+d x))^m \, dx\) [339]
\(\int \cos ^7(c+d x) (a+a \sin (c+d x))^m \, dx\) [340]
\(\int \cos ^5(c+d x) (a+a \sin (c+d x))^m \, dx\) [341]
\(\int \cos ^3(c+d x) (a+a \sin (c+d x))^m \, dx\) [342]
\(\int \cos (c+d x) (a+a \sin (c+d x))^m \, dx\) [343]
\(\int \sec (c+d x) (a+a \sin (c+d x))^m \, dx\) [344]
\(\int \sec ^3(c+d x) (a+a \sin (c+d x))^m \, dx\) [345]
\(\int \sec ^5(c+d x) (a+a \sin (c+d x))^m \, dx\) [346]
\(\int \cos ^4(c+d x) (a+a \sin (c+d x))^m \, dx\) [347]
\(\int \cos ^2(c+d x) (a+a \sin (c+d x))^m \, dx\) [348]
\(\int \sec ^2(c+d x) (a+a \sin (c+d x))^m \, dx\) [349]
\(\int \sec ^4(c+d x) (a+a \sin (c+d x))^m \, dx\) [350]
\(\int (e \cos (c+d x))^{5/2} (a+a \sin (c+d x))^m \, dx\) [351]
\(\int (e \cos (c+d x))^{3/2} (a+a \sin (c+d x))^m \, dx\) [352]
\(\int \sqrt {e \cos (c+d x)} (a+a \sin (c+d x))^m \, dx\) [353]
\(\int \genfrac {}{}{}{}{(a+a \sin (c+d x))^m}{\sqrt {e \cos (c+d x)}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{(a+a \sin (c+d x))^m}{(e \cos (c+d x))^{3/2}} \, dx\) [355]
\(\int \genfrac {}{}{}{}{(a+a \sin (c+d x))^m}{(e \cos (c+d x))^{5/2}} \, dx\) [356]
\(\int (e \cos (c+d x))^{-4-m} (a+a \sin (c+d x))^m \, dx\) [357]
\(\int (e \cos (c+d x))^{-3-m} (a+a \sin (c+d x))^m \, dx\) [358]
\(\int (e \cos (c+d x))^{-2-m} (a+a \sin (c+d x))^m \, dx\) [359]
\(\int (e \cos (c+d x))^{-1-m} (a+a \sin (c+d x))^m \, dx\) [360]
\(\int (e \cos (c+d x))^{-m} (a+a \sin (c+d x))^m \, dx\) [361]
\(\int (e \cos (c+d x))^{1-m} (a+a \sin (c+d x))^m \, dx\) [362]
\(\int (e \cos (c+d x))^{2-m} (a+a \sin (c+d x))^m \, dx\) [363]
\(\int (e \cos (c+d x))^{5-2 m} (a+a \sin (c+d x))^m \, dx\) [364]
\(\int (e \cos (c+d x))^{3-2 m} (a+a \sin (c+d x))^m \, dx\) [365]
\(\int (e \cos (c+d x))^{1-2 m} (a+a \sin (c+d x))^m \, dx\) [366]
\(\int (e \cos (c+d x))^{-1-2 m} (a+a \sin (c+d x))^m \, dx\) [367]
\(\int (e \cos (c+d x))^{-3-2 m} (a+a \sin (c+d x))^m \, dx\) [368]
\(\int (e \cos (c+d x))^{4-2 m} (a+a \sin (c+d x))^m \, dx\) [369]
\(\int (e \cos (c+d x))^{2-2 m} (a+a \sin (c+d x))^m \, dx\) [370]
\(\int (e \cos (c+d x))^{-2 m} (a+a \sin (c+d x))^m \, dx\) [371]
\(\int (e \cos (c+d x))^{-2-2 m} (a+a \sin (c+d x))^m \, dx\) [372]
\(\int \cos ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [373]
\(\int \cos ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [374]
\(\int \cos (c+d x) (a+b \sin (c+d x)) \, dx\) [375]
\(\int \sec (c+d x) (a+b \sin (c+d x)) \, dx\) [376]
\(\int \sec ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [377]
\(\int \sec ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [378]
\(\int \cos ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [379]
\(\int \cos ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [380]
\(\int \sec ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [381]
\(\int \sec ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [382]
\(\int \sec ^6(c+d x) (a+b \sin (c+d x)) \, dx\) [383]
\(\int \cos ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [384]
\(\int \cos ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [385]
\(\int \cos (c+d x) (a+b \sin (c+d x))^2 \, dx\) [386]
\(\int \sec (c+d x) (a+b \sin (c+d x))^2 \, dx\) [387]
\(\int \sec ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [388]
\(\int \sec ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [389]
\(\int \cos ^6(c+d x) (a+b \sin (c+d x))^2 \, dx\) [390]
\(\int \cos ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [391]
\(\int \cos ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [392]
\(\int \sec ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [393]
\(\int \sec ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [394]
\(\int \sec ^6(c+d x) (a+b \sin (c+d x))^2 \, dx\) [395]
\(\int \sec ^8(c+d x) (a+b \sin (c+d x))^2 \, dx\) [396]
\(\int \cos ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [397]
\(\int \cos ^3(c+d x) (a+b \sin (c+d x))^3 \, dx\) [398]
\(\int \cos (c+d x) (a+b \sin (c+d x))^3 \, dx\) [399]
\(\int \sec (c+d x) (a+b \sin (c+d x))^3 \, dx\) [400]