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3.9
Integrals 801 to 879
\(\int \genfrac {}{}{}{}{a+b \sec (c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [801]
\(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \sec (c+d x))^2 \, dx\) [802]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^2 \, dx\) [803]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^2 \, dx\) [804]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^2 \, dx\) [805]
\(\int \sqrt {\cos (c+d x)} (a+b \sec (c+d x))^2 \, dx\) [806]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2}{\sqrt {\cos (c+d x)}} \, dx\) [807]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [808]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^2}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [809]
\(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \sec (c+d x))^3 \, dx\) [810]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^3 \, dx\) [811]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^3 \, dx\) [812]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^3 \, dx\) [813]
\(\int \sqrt {\cos (c+d x)} (a+b \sec (c+d x))^3 \, dx\) [814]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^3}{\sqrt {\cos (c+d x)}} \, dx\) [815]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^3}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [816]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+b \sec (c+d x)} \, dx\) [817]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+b \sec (c+d x)} \, dx\) [818]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{a+b \sec (c+d x)} \, dx\) [819]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \sec (c+d x))} \, dx\) [820]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))} \, dx\) [821]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))} \, dx\) [822]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))} \, dx\) [823]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [824]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+b \sec (c+d x))^2} \, dx\) [825]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \sec (c+d x))^2} \, dx\) [826]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^2} \, dx\) [827]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^2} \, dx\) [828]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^2} \, dx\) [829]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \sec (c+d x))^3} \, dx\) [830]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+b \sec (c+d x))^3} \, dx\) [831]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \sec (c+d x))^3} \, dx\) [832]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^3} \, dx\) [833]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^3} \, dx\) [834]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^3} \, dx\) [835]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \sec (c+d x))^3} \, dx\) [836]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [837]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [838]
\(\int \sqrt {\cos (c+d x)} \sqrt {a+b \sec (c+d x)} \, dx\) [839]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sec (c+d x)}}{\sqrt {\cos (c+d x)}} \, dx\) [840]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sec (c+d x)}}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [841]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^{3/2} \, dx\) [842]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^{3/2} \, dx\) [843]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^{3/2} \, dx\) [844]
\(\int \sqrt {\cos (c+d x)} (a+b \sec (c+d x))^{3/2} \, dx\) [845]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^{3/2}}{\sqrt {\cos (c+d x)}} \, dx\) [846]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^{3/2}}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [847]
\(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \sec (c+d x))^{5/2} \, dx\) [848]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^{5/2} \, dx\) [849]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^{5/2} \, dx\) [850]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^{5/2} \, dx\) [851]
\(\int \sqrt {\cos (c+d x)} (a+b \sec (c+d x))^{5/2} \, dx\) [852]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^{5/2}}{\sqrt {\cos (c+d x)}} \, dx\) [853]
\(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^{5/2}}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [854]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [855]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [856]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{\sqrt {a+b \sec (c+d x)}} \, dx\) [857]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} \sqrt {a+b \sec (c+d x)}} \, dx\) [858]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \sec (c+d x)}} \, dx\) [859]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \sec (c+d x)}} \, dx\) [860]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+b \sec (c+d x)}} \, dx\) [861]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [862]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [863]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+b \sec (c+d x))^{3/2}} \, dx\) [864]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \sec (c+d x))^{3/2}} \, dx\) [865]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^{3/2}} \, dx\) [866]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^{3/2}} \, dx\) [867]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^{3/2}} \, dx\) [868]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \sec (c+d x))^{5/2}} \, dx\) [869]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+b \sec (c+d x))^{5/2}} \, dx\) [870]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \sec (c+d x))^{5/2}} \, dx\) [871]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \sec (c+d x))^{5/2}} \, dx\) [872]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \sec (c+d x))^{5/2}} \, dx\) [873]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \sec (c+d x))^{5/2}} \, dx\) [874]
\(\int (d \cos (e+f x))^n (a+b \sec (e+f x))^3 \, dx\) [875]
\(\int (d \cos (e+f x))^n (a+b \sec (e+f x))^2 \, dx\) [876]
\(\int (d \cos (e+f x))^n (a+b \sec (e+f x)) \, dx\) [877]
\(\int \genfrac {}{}{}{}{(d \cos (e+f x))^n}{a+b \sec (e+f x)} \, dx\) [878]
\(\int \genfrac {}{}{}{}{(d \cos (e+f x))^n}{(a+b \sec (e+f x))^2} \, dx\) [879]
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