3.7.1 \(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [601]
  3.7.2 \(\int (a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [602]
  3.7.3 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [603]
  3.7.4 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [604]
  3.7.5 \(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{13}{2}}(c+d x) \, dx\) [605]
  3.7.6 \(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [606]
  3.7.7 \(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [607]
  3.7.8 \(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [608]
  3.7.9 \(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [609]
  3.7.10 \(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [610]
  3.7.11 \(\int (a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sqrt {\sec (c+d x)} \, dx\) [611]
  3.7.12 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [612]
  3.7.13 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [613]
  3.7.14 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [614]
  3.7.15 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [615]
  3.7.16 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [616]
  3.7.17 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{\sqrt {a+b \cos (c+d x)}} \, dx\) [617]
  3.7.18 \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {a+b \cos (c+d x)} \sqrt {\sec (c+d x)}} \, dx\) [618]
  3.7.19 \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {a+b \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [619]
  3.7.20 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [620]
  3.7.21 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [621]
  3.7.22 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\) [622]
  3.7.23 \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)}} \, dx\) [623]
  3.7.24 \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [624]
  3.7.25 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [625]
  3.7.26 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [626]
  3.7.27 \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{5/2}} \, dx\) [627]
  3.7.28 \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{5/2} \sqrt {\sec (c+d x)}} \, dx\) [628]
  3.7.29 \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [629]
  3.7.30 \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [630]
  3.7.31 \(\int \genfrac {}{}{}{}{(a B+b B \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [631]
  3.7.32 \(\int \genfrac {}{}{}{}{(a B+b B \cos (c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\) [632]
  3.7.33 \(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)}} \, dx\) [633]
  3.7.34 \(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{(a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [634]
  3.7.35 \(\int (a+b \cos (e+f x))^n (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [635]
  3.7.36 \(\int (a+b \cos (e+f x))^4 (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [636]
  3.7.37 \(\int (a+b \cos (e+f x))^3 (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [637]
  3.7.38 \(\int (a+b \cos (e+f x))^2 (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [638]
  3.7.39 \(\int (a+b \cos (e+f x)) (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [639]
  3.7.40 \(\int \genfrac {}{}{}{}{(A+B \cos (e+f x)) (c \sec (e+f x))^m}{a+b \cos (e+f x)} \, dx\) [640]
  3.7.41 \(\int (a+b \cos (e+f x))^{3/2} (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [641]
  3.7.42 \(\int \sqrt {a+b \cos (e+f x)} (A+B \cos (e+f x)) (c \sec (e+f x))^m \, dx\) [642]
  3.7.43 \(\int \genfrac {}{}{}{}{(A+B \cos (e+f x)) (c \sec (e+f x))^m}{\sqrt {a+b \cos (e+f x)}} \, dx\) [643]
  3.7.44 \(\int \genfrac {}{}{}{}{(A+B \cos (e+f x)) (c \sec (e+f x))^m}{(a+b \cos (e+f x))^{3/2}} \, dx\) [644]