3.7 Integrals 601 to 634

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