\(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [601]
\(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [602]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [603]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [604]
\(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{13}{2}}(c+d x) \, dx\) [605]
\(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [606]
\(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [607]
\(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [608]
\(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [609]
\(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [610]
\(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [611]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [612]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [613]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [614]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [615]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [616]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{\sqrt {a+b \cos (c+d x)}} \, dx\) [617]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {a+b \cos (c+d x)} \sqrt {\sec (c+d x)}} \, dx\) [618]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {a+b \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [619]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [620]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [621]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\) [622]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)}} \, dx\) [623]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [624]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [625]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [626]
\(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{5/2}} \, dx\) [627]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{5/2} \sqrt {\sec (c+d x)}} \, dx\) [628]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [629]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [630]
\(\int \genfrac {}{}{}{}{(a B+b B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [631]
\(\int \genfrac {}{}{}{}{(a B+b B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\) [632]
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)}} \, dx\) [633]
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [634]
\(\int (a+b \cos (e+f x))^n (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [635]
\(\int (a+b \cos (e+f x))^4 (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [636]
\(\int (a+b \cos (e+f x))^3 (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [637]
\(\int (a+b \cos (e+f x))^2 (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [638]
\(\int (a+b \cos (e+f x)) (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [639]
\(\int \genfrac {}{}{}{}{(A+B \cos (e+f x)) (c \sec (e+f x))^m}{a+b \cos (e+f x)} \, dx\) [640]
\(\int (a+b \cos (e+f x))^{3/2} (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [641]
\(\int \sqrt {a+b \cos (e+f x)} (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [642]
\(\int \genfrac {}{}{}{}{(A+B \cos (e+f x)) (c \sec (e+f x))^m}{\sqrt {a+b \cos (e+f x)}} \, dx\) [643]
\(\int \genfrac {}{}{}{}{(A+B \cos (e+f x)) (c \sec (e+f x))^m}{(a+b \cos (e+f x))^{3/2}} \, dx\) [644]