3.8 Integrals 701 to 800

\(\int (a+b \cos (c+d x))^2 \sqrt {\sec (c+d x)} \, dx\) [701]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\sqrt {\sec (c+d x)}} \, dx\) [702]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [703]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [704]
\(\int (a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [705]
\(\int (a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [706]
\(\int (a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [707]
\(\int (a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [708]
\(\int (a+b \cos (c+d x))^3 \sqrt {\sec (c+d x)} \, dx\) [709]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\sqrt {\sec (c+d x)}} \, dx\) [710]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [711]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [712]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [713]
\(\int \genfrac {}{}{}{}{\sqrt {\sec (c+d x)}}{a+b \cos (c+d x)} \, dx\) [714]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x)) \sqrt {\sec (c+d x)}} \, dx\) [715]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [716]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [717]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [718]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [719]
\(\int \genfrac {}{}{}{}{\sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^2} \, dx\) [720]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^2 \sqrt {\sec (c+d x)}} \, dx\) [721]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [722]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [723]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [724]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [725]
\(\int \genfrac {}{}{}{}{\sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\) [726]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^3 \sqrt {\sec (c+d x)}} \, dx\) [727]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [728]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [729]
\(\int \sqrt {a+b \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [730]
\(\int \sqrt {a+b \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [731]
\(\int \sqrt {a+b \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [732]
\(\int \sqrt {a+b \cos (c+d x)} \sqrt {\sec (c+d x)} \, dx\) [733]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)}}{\sqrt {\sec (c+d x)}} \, dx\) [734]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)}}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [735]
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [736]
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [737]
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [738]
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [739]
\(\int (a+b \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)} \, dx\) [740]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2}}{\sqrt {\sec (c+d x)}} \, dx\) [741]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2}}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [742]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [743]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [744]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [745]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [746]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [747]
\(\int (a+b \cos (c+d x))^{5/2} \sqrt {\sec (c+d x)} \, dx\) [748]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2}}{\sqrt {\sec (c+d x)}} \, dx\) [749]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2}}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [750]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [751]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [752]
\(\int \genfrac {}{}{}{}{\sqrt {\sec (c+d x)}}{\sqrt {a+b \cos (c+d x)}} \, dx\) [753]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos (c+d x)} \sqrt {\sec (c+d x)}} \, dx\) [754]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [755]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos (c+d x)} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [756]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [757]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [758]
\(\int \genfrac {}{}{}{}{\sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\) [759]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)}} \, dx\) [760]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [761]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [762]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [763]
\(\int \genfrac {}{}{}{}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [764]
\(\int \genfrac {}{}{}{}{\sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{5/2}} \, dx\) [765]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{5/2} \sqrt {\sec (c+d x)}} \, dx\) [766]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [767]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [768]
\(\int \cos ^m(c+d x) (a+b \cos (c+d x))^4 \, dx\) [769]
\(\int \cos ^m(c+d x) (a+b \cos (c+d x))^3 \, dx\) [770]
\(\int \cos ^m(c+d x) (a+b \cos (c+d x))^2 \, dx\) [771]
\(\int \cos ^m(c+d x) (a+b \cos (c+d x)) \, dx\) [772]
\(\int \genfrac {}{}{}{}{\cos ^m(c+d x)}{a+b \cos (c+d x)} \, dx\) [773]
\(\int \genfrac {}{}{}{}{\cos ^m(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [774]
\(\int (a+b \cos (c+d x))^3 \sec ^m(c+d x) \, dx\) [775]
\(\int (a+b \cos (c+d x))^2 \sec ^m(c+d x) \, dx\) [776]
\(\int (a+b \cos (c+d x)) \sec ^m(c+d x) \, dx\) [777]
\(\int \genfrac {}{}{}{}{\sqrt {1-\cos (x)}}{\sqrt {a-\cos (x)}} \, dx\) [778]
\(\int \sqrt {\genfrac {}{}{}{}{1-\cos (x)}{a-\cos (x)}} \, dx\) [779]
\(\int (a+a \cos (c+d x)) (-\genfrac {}{}{}{}{B}{2}+B \cos (c+d x)) \, dx\) [780]
\(\int (a+a \cos (c+d x))^4 (-\genfrac {}{}{}{}{4 B}{5}+B \cos (c+d x)) \, dx\) [781]
\(\int (a+a \cos (c+d x))^n (-\genfrac {}{}{}{}{B n}{1+n}+B \cos (c+d x)) \, dx\) [782]
\(\int \genfrac {}{}{}{}{-\genfrac {}{}{}{}{3 B}{2}+B \cos (c+d x)}{(a+a \cos (c+d x))^3} \, dx\) [783]
\(\int (a+a \cos (c+d x))^{3/2} (-\genfrac {}{}{}{}{3 B}{5}+B \cos (c+d x)) \, dx\) [784]
\(\int \genfrac {}{}{}{}{B+B \cos (c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx\) [785]
\(\int \genfrac {}{}{}{}{-\genfrac {}{}{}{}{5 B}{3}+B \cos (c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\) [786]
\(\int (a+a \cos (c+d x))^{2/3} (A+B \cos (c+d x)) \, dx\) [787]
\(\int \sqrt [3]{a+a \cos (c+d x)} (A+B \cos (c+d x)) \, dx\) [788]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt [3]{a+a \cos (c+d x)}} \, dx\) [789]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{2/3}} \, dx\) [790]
\(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{b B}{a}+B \cos (c+d x)}{a+b \cos (c+d x)} \, dx\) [791]
\(\int \genfrac {}{}{}{}{a+b \cos (c+d x)}{(b+a \cos (c+d x))^2} \, dx\) [792]
\(\int \genfrac {}{}{}{}{3+\cos (c+d x)}{2-\cos (c+d x)} \, dx\) [793]
\(\int \genfrac {}{}{}{}{a B+b B \cos (c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [794]
\(\int (a+b \cos (c+d x))^{2/3} (A+B \cos (c+d x)) \, dx\) [795]
\(\int \sqrt [3]{a+b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\) [796]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt [3]{a+b \cos (c+d x)}} \, dx\) [797]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{2/3}} \, dx\) [798]
\(\int \cos ^2(c+d x) \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\) [799]
\(\int \cos (c+d x) \sqrt {b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\) [800]