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3.3
Integrals 201 to 300
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt [3]{a+a \cos (c+d x)}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+a \cos (c+d x))^{2/3}} \, dx\) [202]
\(\int (a+b \cos (c+d x))^{2/3} (A+C \cos ^2(c+d x)) \, dx\) [203]
\(\int \sqrt [3]{a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [204]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt [3]{a+b \cos (c+d x)}} \, dx\) [205]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^{2/3}} \, dx\) [206]
\(\int (a+b \cos (e+f x))^m (A-A \cos ^2(e+f x)) \, dx\) [207]
\(\int (a+b \cos (e+f x))^m (A+C \cos ^2(e+f x)) \, dx\) [208]
\(\int (a \cos (e+f x))^m (B \cos (e+f x)+C \cos ^2(e+f x)) \, dx\) [209]
\(\int \cos ^m(c+d x) \sqrt [3]{b \cos (c+d x)} (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [210]
\(\int \cos ^m(c+d x) (b \cos (c+d x))^{2/3} (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [211]
\(\int \cos ^m(c+d x) (b \cos (c+d x))^{4/3} (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [212]
\(\int \genfrac {}{}{}{}{\cos ^m(c+d x) (B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt [3]{b \cos (c+d x)}} \, dx\) [213]
\(\int \genfrac {}{}{}{}{\cos ^m(c+d x) (B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{2/3}} \, dx\) [214]
\(\int \genfrac {}{}{}{}{\cos ^m(c+d x) (B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{4/3}} \, dx\) [215]
\(\int (a \cos (c+d x))^m (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [216]
\(\int \cos ^2(c+d x) (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [217]
\(\int \cos (c+d x) (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [218]
\(\int (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [219]
\(\int (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [220]
\(\int (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [221]
\(\int (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [222]
\(\int (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [223]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [224]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [225]
\(\int \sqrt {\cos (c+d x)} (b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [226]
\(\int \genfrac {}{}{}{}{(b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{(b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [228]
\(\int \genfrac {}{}{}{}{(b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [229]
\(\int \genfrac {}{}{}{}{(b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [230]
\(\int \genfrac {}{}{}{}{(b \cos (c+d x))^n (B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [231]
\(\int (a+a \cos (e+f x))^m (B \cos (e+f x)+C \cos ^2(e+f x)) \, dx\) [232]
\(\int (a+b \cos (e+f x))^m (B \cos (e+f x)+C \cos ^2(e+f x)) \, dx\) [233]
\(\int (a+b \cos (c+d x))^{2/3} (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [234]
\(\int \sqrt [3]{a+b \cos (c+d x)} (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [235]
\(\int \genfrac {}{}{}{}{B \cos (c+d x)+C \cos ^2(c+d x)}{\sqrt [3]{a+b \cos (c+d x)}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^{2/3}} \, dx\) [237]
\(\int (a \cos (e+f x))^m (A+B \cos (e+f x)+C \cos ^2(e+f x)) \, dx\) [238]
\(\int \cos ^2(c+d x) \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [239]
\(\int \cos (c+d x) \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [240]
\(\int \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [241]
\(\int \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [242]
\(\int \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [243]
\(\int \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [244]
\(\int \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [245]
\(\int \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [246]
\(\int \cos (c+d x) (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [247]
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [248]
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [249]
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [250]
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [251]
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [252]
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [253]
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [254]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [255]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [256]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [257]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [258]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [259]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [260]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [261]
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^7(c+d x) \, dx\) [262]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {b \cos (c+d x)}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {b \cos (c+d x)}} \, dx\) [264]
\(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {b \cos (c+d x)}} \, dx\) [265]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [269]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [270]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [271]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [272]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [273]
\(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [274]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [275]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [276]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [277]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [278]
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [279]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [280]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [281]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [282]
\(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [283]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\) [284]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\) [285]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\) [286]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(b \cos (c+d x))^{7/2}} \, dx\) [287]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [288]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [289]
\(\int \sqrt {\cos (c+d x)} \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [290]
\(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [291]
\(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [292]
\(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [293]
\(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [294]
\(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [295]
\(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [296]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [297]
\(\int \sqrt {\cos (c+d x)} (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [298]
\(\int \genfrac {}{}{}{}{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [299]
\(\int \genfrac {}{}{}{}{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [300]
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