3.8 Integrals 701 to 800

\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^4 (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [701]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^4 (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [702]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^4 (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{13}{2}}(c+d x)} \, dx\) [703]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (A+C \cos ^2(c+d x))}{a+b \cos (c+d x)} \, dx\) [704]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \cos ^2(c+d x))}{a+b \cos (c+d x)} \, dx\) [705]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \cos ^2(c+d x))}{a+b \cos (c+d x)} \, dx\) [706]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \cos ^2(c+d x))}{a+b \cos (c+d x)} \, dx\) [707]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))} \, dx\) [708]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\) [709]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\) [710]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\) [711]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\) [712]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\) [713]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^2} \, dx\) [714]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^2} \, dx\) [715]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^2} \, dx\) [716]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^2} \, dx\) [717]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^2} \, dx\) [718]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^2} \, dx\) [719]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \cos (c+d x))^2} \, dx\) [720]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^3} \, dx\) [721]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^3} \, dx\) [722]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^3} \, dx\) [723]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^3} \, dx\) [724]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^3} \, dx\) [725]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^3} \, dx\) [726]
\(\int \sqrt {\cos (c+d x)} \sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [727]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [728]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [729]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [730]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [731]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [732]
\(\int \sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \, dx\) [733]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [734]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [735]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [736]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [737]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [738]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [739]
\(\int \sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \, dx\) [740]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [741]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [742]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [743]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [744]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [745]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [746]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{13}{2}}(c+d x)} \, dx\) [747]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \cos ^2(c+d x))}{\sqrt {a+b \cos (c+d x)}} \, dx\) [748]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \cos ^2(c+d x))}{\sqrt {a+b \cos (c+d x)}} \, dx\) [749]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {\cos (c+d x)} \sqrt {a+b \cos (c+d x)}} \, dx\) [750]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \cos (c+d x)}} \, dx\) [751]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \cos (c+d x)}} \, dx\) [752]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+b \cos (c+d x)}} \, dx\) [753]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \sqrt {a+b \cos (c+d x)}} \, dx\) [754]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^{3/2}} \, dx\) [755]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^{3/2}} \, dx\) [756]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{3/2}} \, dx\) [757]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\) [758]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\) [759]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\) [760]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^{5/2}} \, dx\) [761]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^{5/2}} \, dx\) [762]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^{5/2}} \, dx\) [763]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^{5/2}} \, dx\) [764]
\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^{5/2}} \, dx\) [765]
\(\int \cos ^m(c+d x) (a+b \cos (c+d x))^2 (A+C \cos ^2(c+d x)) \, dx\) [766]
\(\int \cos ^m(c+d x) (a+b \cos (c+d x)) (A+C \cos ^2(c+d x)) \, dx\) [767]
\(\int \genfrac {}{}{}{}{\cos ^m(c+d x) (A+C \cos ^2(c+d x))}{a+b \cos (c+d x)} \, dx\) [768]
\(\int \genfrac {}{}{}{}{\cos ^m(c+d x) (A+C \cos ^2(c+d x))}{(a+b \cos (c+d x))^2} \, dx\) [769]
\(\int \cos (c+d x) (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [770]
\(\int (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [771]
\(\int (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [772]
\(\int (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [773]
\(\int (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [774]
\(\int (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [775]
\(\int (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [776]
\(\int (a+b \cos (c+d x)) (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [777]
\(\int \cos (c+d x) (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [778]
\(\int (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [779]
\(\int (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [780]
\(\int (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [781]
\(\int (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [782]
\(\int (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [783]
\(\int (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [784]
\(\int (a+b \cos (c+d x))^2 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [785]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \, dx\) [786]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [787]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [788]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [789]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [790]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [791]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [792]
\(\int (a+b \cos (c+d x))^3 (B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^7(c+d x) \, dx\) [793]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (B \cos (c+d x)+C \cos ^2(c+d x))}{a+b \cos (c+d x)} \, dx\) [794]
\(\int \genfrac {}{}{}{}{\cos (c+d x) (B \cos (c+d x)+C \cos ^2(c+d x))}{a+b \cos (c+d x)} \, dx\) [795]
\(\int \genfrac {}{}{}{}{B \cos (c+d x)+C \cos ^2(c+d x)}{a+b \cos (c+d x)} \, dx\) [796]
\(\int \genfrac {}{}{}{}{(B \cos (c+d x)+C \cos ^2(c+d x)) \sec (c+d x)}{a+b \cos (c+d x)} \, dx\) [797]
\(\int \genfrac {}{}{}{}{(B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^2(c+d x)}{a+b \cos (c+d x)} \, dx\) [798]
\(\int \genfrac {}{}{}{}{(B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^3(c+d x)}{a+b \cos (c+d x)} \, dx\) [799]
\(\int \genfrac {}{}{}{}{(B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^4(c+d x)}{a+b \cos (c+d x)} \, dx\) [800]