\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [401]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \, dx\) [402]
\(\int \sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \, dx\) [403]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [404]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [405]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [406]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [407]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [408]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [409]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \, dx\) [410]
\(\int \sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \, dx\) [411]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [412]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [413]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [414]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [415]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [416]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [417]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{13}{2}}(c+d x)} \, dx\) [418]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (\genfrac {}{}{}{}{3 b B}{2 a}+B \cos (c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [419]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \cos (c+d x))}{\sqrt {a+b \cos (c+d x)}} \, dx\) [420]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+B \cos (c+d x))}{\sqrt {a+b \cos (c+d x)}} \, dx\) [421]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {\cos (c+d x)} \sqrt {a+b \cos (c+d x)}} \, dx\) [422]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \cos (c+d x)}} \, dx\) [423]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \cos (c+d x)}} \, dx\) [424]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+b \cos (c+d x)}} \, dx\) [425]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \cos (c+d x))}{(a+b \cos (c+d x))^{3/2}} \, dx\) [426]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+B \cos (c+d x))}{(a+b \cos (c+d x))^{3/2}} \, dx\) [427]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{3/2}} \, dx\) [428]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\) [429]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\) [430]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \cos (c+d x))}{(a+b \cos (c+d x))^{5/2}} \, dx\) [431]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \cos (c+d x))}{(a+b \cos (c+d x))^{5/2}} \, dx\) [432]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+B \cos (c+d x))}{(a+b \cos (c+d x))^{5/2}} \, dx\) [433]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{5/2}} \, dx\) [434]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^{5/2}} \, dx\) [435]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^{5/2}} \, dx\) [436]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a B+b B \cos (c+d x))}{(a+b \cos (c+d x))^{3/2}} \, dx\) [437]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (a B+b B \cos (c+d x))}{(a+b \cos (c+d x))^{3/2}} \, dx\) [438]
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{3/2}} \, dx\) [439]
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\) [440]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {2+3 \cos (c+d x)}} \, dx\) [441]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {-2+3 \cos (c+d x)}} \, dx\) [442]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\sqrt {2-3 \cos (c+d x)} \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [443]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\sqrt {-2-3 \cos (c+d x)} \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [444]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {3+2 \cos (c+d x)}} \, dx\) [445]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\sqrt {3-2 \cos (c+d x)} \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [446]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {-3+2 \cos (c+d x)}} \, dx\) [447]
\(\int \genfrac {}{}{}{}{1+\cos (c+d x)}{\sqrt {-3-2 \cos (c+d x)} \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [448]
\(\int (c \cos (e+f x))^m (a+b \cos (e+f x))^n (A+B \cos (e+f x)) \, dx\) [449]
\(\int (c \cos (e+f x))^m (a+b \cos (e+f x))^4 (A+B \cos (e+f x)) \, dx\) [450]
\(\int (c \cos (e+f x))^m (a+b \cos (e+f x))^3 (A+B \cos (e+f x)) \, dx\) [451]
\(\int (c \cos (e+f x))^m (a+b \cos (e+f x))^2 (A+B \cos (e+f x)) \, dx\) [452]
\(\int (c \cos (e+f x))^m (a+b \cos (e+f x)) (A+B \cos (e+f x)) \, dx\) [453]
\(\int \genfrac {}{}{}{}{(c \cos (e+f x))^m (A+B \cos (e+f x))}{a+b \cos (e+f x)} \, dx\) [454]
\(\int (c \cos (e+f x))^m (a+b \cos (e+f x))^{3/2} (A+B \cos (e+f x)) \, dx\) [455]
\(\int (c \cos (e+f x))^m \sqrt {a+b \cos (e+f x)} (A+B \cos (e+f x)) \, dx\) [456]
\(\int \genfrac {}{}{}{}{(c \cos (e+f x))^m (A+B \cos (e+f x))}{\sqrt {a+b \cos (e+f x)}} \, dx\) [457]
\(\int \genfrac {}{}{}{}{(c \cos (e+f x))^m (A+B \cos (e+f x))}{(a+b \cos (e+f x))^{3/2}} \, dx\) [458]
\(\int (a+a \cos (c+d x)) (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [459]
\(\int (a+a \cos (c+d x)) (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [460]
\(\int (a+a \cos (c+d x)) (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [461]
\(\int (a+a \cos (c+d x)) (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [462]
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x)) (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [463]
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x)) (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [464]
\(\int (a+a \cos (c+d x))^2 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [465]
\(\int (a+a \cos (c+d x))^2 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [466]
\(\int (a+a \cos (c+d x))^2 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [467]
\(\int (a+a \cos (c+d x))^2 (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [468]
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x))^2 (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [469]
\(\int (a+a \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [470]
\(\int (a+a \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [471]
\(\int (a+a \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [472]
\(\int (a+a \cos (c+d x))^3 (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [473]
\(\int (a+a \cos (c+d x))^3 (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [474]
\(\int \genfrac {}{}{}{}{(a+a \cos (c+d x))^3 (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [475]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+a \cos (c+d x)} \, dx\) [476]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+a \cos (c+d x)} \, dx\) [477]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{a+a \cos (c+d x)} \, dx\) [478]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x)) \sqrt {\sec (c+d x)}} \, dx\) [479]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [480]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [481]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+a \cos (c+d x))^2} \, dx\) [482]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+a \cos (c+d x))^2} \, dx\) [483]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^2 \sqrt {\sec (c+d x)}} \, dx\) [484]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [485]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [486]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+a \cos (c+d x))^3} \, dx\) [487]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+a \cos (c+d x))^3} \, dx\) [488]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^3 \sqrt {\sec (c+d x)}} \, dx\) [489]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [490]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [491]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [492]
\(\int \sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [493]
\(\int \sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [494]
\(\int \sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [495]
\(\int \sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [496]
\(\int \sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [497]
\(\int \sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [498]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [499]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \cos (c+d x)} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [500]