3.6 Integrals 501 to 600

\(\int \cos ^2(c+d x) (a+b \cos (c+d x))^{5/2} \, dx\) [501]
\(\int \cos (c+d x) (a+b \cos (c+d x))^{5/2} \, dx\) [502]
\(\int (a+b \cos (c+d x))^{5/2} \, dx\) [503]
\(\int (a+b \cos (c+d x))^{5/2} \sec (c+d x) \, dx\) [504]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^2(c+d x) \, dx\) [505]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^3(c+d x) \, dx\) [506]
\(\int (a+b \cos (c+d x))^{5/2} \sec ^4(c+d x) \, dx\) [507]
\(\int (a+b \cos (c+d x))^{7/2} \, dx\) [508]
\(\int \cos ^3(c+d x) \sqrt {3+4 \cos (c+d x)} \, dx\) [509]
\(\int \cos ^2(c+d x) \sqrt {3+4 \cos (c+d x)} \, dx\) [510]
\(\int \cos (c+d x) \sqrt {3+4 \cos (c+d x)} \, dx\) [511]
\(\int \sqrt {3+4 \cos (c+d x)} \, dx\) [512]
\(\int \sqrt {3+4 \cos (c+d x)} \sec (c+d x) \, dx\) [513]
\(\int \sqrt {3+4 \cos (c+d x)} \sec ^2(c+d x) \, dx\) [514]
\(\int \sqrt {3+4 \cos (c+d x)} \sec ^3(c+d x) \, dx\) [515]
\(\int \sqrt {3-4 \cos (c+d x)} \cos ^3(c+d x) \, dx\) [516]
\(\int \sqrt {3-4 \cos (c+d x)} \cos ^2(c+d x) \, dx\) [517]
\(\int \sqrt {3-4 \cos (c+d x)} \cos (c+d x) \, dx\) [518]
\(\int \sqrt {3-4 \cos (c+d x)} \, dx\) [519]
\(\int \sqrt {3-4 \cos (c+d x)} \sec (c+d x) \, dx\) [520]
\(\int \sqrt {3-4 \cos (c+d x)} \sec ^2(c+d x) \, dx\) [521]
\(\int \sqrt {3-4 \cos (c+d x)} \sec ^3(c+d x) \, dx\) [522]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [523]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{\cos (c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos (c+d x)}} \, dx\) [526]
\(\int \genfrac {}{}{}{}{\sec (c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [527]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [528]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [529]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{\cos (c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [533]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{3/2}} \, dx\) [534]
\(\int \genfrac {}{}{}{}{\sec (c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [535]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [536]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [537]
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [538]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [539]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [540]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [541]
\(\int \genfrac {}{}{}{}{\cos (c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [542]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{5/2}} \, dx\) [543]
\(\int \genfrac {}{}{}{}{\sec (c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [544]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [545]
\(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{7/2}} \, dx\) [546]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{\sqrt {3+4 \cos (c+d x)}} \, dx\) [547]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{\sqrt {3+4 \cos (c+d x)}} \, dx\) [548]
\(\int \genfrac {}{}{}{}{\cos (c+d x)}{\sqrt {3+4 \cos (c+d x)}} \, dx\) [549]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3+4 \cos (c+d x)}} \, dx\) [550]
\(\int \genfrac {}{}{}{}{\sec (c+d x)}{\sqrt {3+4 \cos (c+d x)}} \, dx\) [551]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{\sqrt {3+4 \cos (c+d x)}} \, dx\) [552]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{\sqrt {3+4 \cos (c+d x)}} \, dx\) [553]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{\sqrt {3-4 \cos (c+d x)}} \, dx\) [554]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{\sqrt {3-4 \cos (c+d x)}} \, dx\) [555]
\(\int \genfrac {}{}{}{}{\cos (c+d x)}{\sqrt {3-4 \cos (c+d x)}} \, dx\) [556]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-4 \cos (c+d x)}} \, dx\) [557]
\(\int \genfrac {}{}{}{}{\sec (c+d x)}{\sqrt {3-4 \cos (c+d x)}} \, dx\) [558]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{\sqrt {3-4 \cos (c+d x)}} \, dx\) [559]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{\sqrt {3-4 \cos (c+d x)}} \, dx\) [560]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \cos (c+d x)) \, dx\) [561]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \cos (c+d x)) \, dx\) [562]
\(\int \sqrt {\cos (c+d x)} (A+B \cos (c+d x)) \, dx\) [563]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\sqrt {\cos (c+d x)}} \, dx\) [564]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [565]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [566]
\(\int \genfrac {}{}{}{}{A+B \cos (c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [567]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^2 \, dx\) [568]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^2 \, dx\) [569]
\(\int \sqrt {\cos (c+d x)} (a+b \cos (c+d x))^2 \, dx\) [570]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\sqrt {\cos (c+d x)}} \, dx\) [571]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [572]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [573]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [574]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^3 \, dx\) [575]
\(\int \sqrt {\cos (c+d x)} (a+b \cos (c+d x))^3 \, dx\) [576]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\sqrt {\cos (c+d x)}} \, dx\) [577]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [578]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [579]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [580]
\(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [581]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [582]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [583]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{a+b \cos (c+d x)} \, dx\) [584]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))} \, dx\) [585]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\) [586]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\) [587]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [588]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [589]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [590]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+b \cos (c+d x))^2} \, dx\) [591]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^2} \, dx\) [592]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \cos (c+d x))^2} \, dx\) [593]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \cos (c+d x))^2} \, dx\) [594]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [595]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [596]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [597]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [598]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\) [599]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+b \cos (c+d x))^3} \, dx\) [600]