3.5 Integrals 401 to 500

\(\int \cos ^2(a+b x) \csc ^3(c-b x) \, dx\) [401]
\(\int \cos ^2(a+b x) \csc ^4(c-b x) \, dx\) [402]
\(\int \tan (a+b x) \tan (c+b x) \, dx\) [403]
\(\int \tan (c-b x) \tan (a+b x) \, dx\) [404]
\(\int \cot (a+b x) \cot (c+b x) \, dx\) [405]
\(\int \cot (c-b x) \cot (a+b x) \, dx\) [406]
\(\int \sec (a+b x) \sec (c+b x) \, dx\) [407]
\(\int \sec (c-b x) \sec (a+b x) \, dx\) [408]
\(\int \csc (a+b x) \csc (c+b x) \, dx\) [409]
\(\int \csc (c-b x) \csc (a+b x) \, dx\) [410]
\(\int \sin (a+b x) \sin ^7(2 a+2 b x) \, dx\) [411]
\(\int \sin (a+b x) \sin ^6(2 a+2 b x) \, dx\) [412]
\(\int \sin (a+b x) \sin ^5(2 a+2 b x) \, dx\) [413]
\(\int \sin (a+b x) \sin ^4(2 a+2 b x) \, dx\) [414]
\(\int \sin (a+b x) \sin ^3(2 a+2 b x) \, dx\) [415]
\(\int \sin (a+b x) \sin ^2(2 a+2 b x) \, dx\) [416]
\(\int \sin (a+b x) \sin (2 a+2 b x) \, dx\) [417]
\(\int \csc (2 a+2 b x) \sin (a+b x) \, dx\) [418]
\(\int \csc ^2(2 a+2 b x) \sin (a+b x) \, dx\) [419]
\(\int \csc ^3(2 a+2 b x) \sin (a+b x) \, dx\) [420]
\(\int \csc ^4(2 a+2 b x) \sin (a+b x) \, dx\) [421]
\(\int \csc ^5(2 a+2 b x) \sin (a+b x) \, dx\) [422]
\(\int \sin ^2(a+b x) \sin ^5(2 a+2 b x) \, dx\) [423]
\(\int \sin ^2(a+b x) \sin ^4(2 a+2 b x) \, dx\) [424]
\(\int \sin ^2(a+b x) \sin ^3(2 a+2 b x) \, dx\) [425]
\(\int \sin ^2(a+b x) \sin ^2(2 a+2 b x) \, dx\) [426]
\(\int \sin ^2(a+b x) \sin (2 a+2 b x) \, dx\) [427]
\(\int \csc (2 a+2 b x) \sin ^2(a+b x) \, dx\) [428]
\(\int \csc ^2(2 a+2 b x) \sin ^2(a+b x) \, dx\) [429]
\(\int \csc ^3(2 a+2 b x) \sin ^2(a+b x) \, dx\) [430]
\(\int \csc ^4(2 a+2 b x) \sin ^2(a+b x) \, dx\) [431]
\(\int \csc ^5(2 a+2 b x) \sin ^2(a+b x) \, dx\) [432]
\(\int \sin ^3(a+b x) \sin ^5(2 a+2 b x) \, dx\) [433]
\(\int \sin ^3(a+b x) \sin ^4(2 a+2 b x) \, dx\) [434]
\(\int \sin ^3(a+b x) \sin ^3(2 a+2 b x) \, dx\) [435]
\(\int \sin ^3(a+b x) \sin ^2(2 a+2 b x) \, dx\) [436]
\(\int \sin ^3(a+b x) \sin (2 a+2 b x) \, dx\) [437]
\(\int \csc (2 a+2 b x) \sin ^3(a+b x) \, dx\) [438]
\(\int \csc ^2(2 a+2 b x) \sin ^3(a+b x) \, dx\) [439]
\(\int \csc ^3(2 a+2 b x) \sin ^3(a+b x) \, dx\) [440]
\(\int \csc ^4(2 a+2 b x) \sin ^3(a+b x) \, dx\) [441]
\(\int \csc ^5(2 a+2 b x) \sin ^3(a+b x) \, dx\) [442]
\(\int \csc (a+b x) \sin ^8(2 a+2 b x) \, dx\) [443]
\(\int \csc (a+b x) \sin ^7(2 a+2 b x) \, dx\) [444]
\(\int \csc (a+b x) \sin ^6(2 a+2 b x) \, dx\) [445]
\(\int \csc (a+b x) \sin ^5(2 a+2 b x) \, dx\) [446]
\(\int \csc (a+b x) \sin ^4(2 a+2 b x) \, dx\) [447]
\(\int \csc (a+b x) \sin ^3(2 a+2 b x) \, dx\) [448]
\(\int \csc (a+b x) \sin ^2(2 a+2 b x) \, dx\) [449]
\(\int \csc (a+b x) \sin (2 a+2 b x) \, dx\) [450]
\(\int \csc (a+b x) \csc (2 a+2 b x) \, dx\) [451]
\(\int \csc (a+b x) \csc ^2(2 a+2 b x) \, dx\) [452]
\(\int \csc (a+b x) \csc ^3(2 a+2 b x) \, dx\) [453]
\(\int \csc (a+b x) \csc ^4(2 a+2 b x) \, dx\) [454]
\(\int \csc ^2(a+b x) \sin ^8(2 a+2 b x) \, dx\) [455]
\(\int \csc ^2(a+b x) \sin ^7(2 a+2 b x) \, dx\) [456]
\(\int \csc ^2(a+b x) \sin ^6(2 a+2 b x) \, dx\) [457]
\(\int \csc ^2(a+b x) \sin ^5(2 a+2 b x) \, dx\) [458]
\(\int \csc ^2(a+b x) \sin ^4(2 a+2 b x) \, dx\) [459]
\(\int \csc ^2(a+b x) \sin ^3(2 a+2 b x) \, dx\) [460]
\(\int \csc ^2(a+b x) \sin ^2(2 a+2 b x) \, dx\) [461]
\(\int \csc ^2(a+b x) \sin (2 a+2 b x) \, dx\) [462]
\(\int \csc ^2(a+b x) \csc (2 a+2 b x) \, dx\) [463]
\(\int \csc ^2(a+b x) \csc ^2(2 a+2 b x) \, dx\) [464]
\(\int \csc ^2(a+b x) \csc ^3(2 a+2 b x) \, dx\) [465]
\(\int \csc ^2(a+b x) \csc ^4(2 a+2 b x) \, dx\) [466]
\(\int \csc ^2(a+b x) \csc ^5(2 a+2 b x) \, dx\) [467]
\(\int \csc ^2(a+b x) \csc ^6(2 a+2 b x) \, dx\) [468]
\(\int \csc ^3(a+b x) \sin ^{10}(2 a+2 b x) \, dx\) [469]
\(\int \csc ^3(a+b x) \sin ^9(2 a+2 b x) \, dx\) [470]
\(\int \csc ^3(a+b x) \sin ^8(2 a+2 b x) \, dx\) [471]
\(\int \csc ^3(a+b x) \sin ^7(2 a+2 b x) \, dx\) [472]
\(\int \csc ^3(a+b x) \sin ^6(2 a+2 b x) \, dx\) [473]
\(\int \csc ^3(a+b x) \sin ^5(2 a+2 b x) \, dx\) [474]
\(\int \csc ^3(a+b x) \sin ^4(2 a+2 b x) \, dx\) [475]
\(\int \csc ^3(a+b x) \sin ^3(2 a+2 b x) \, dx\) [476]
\(\int \csc ^3(a+b x) \sin ^2(2 a+2 b x) \, dx\) [477]
\(\int \csc ^3(a+b x) \sin (2 a+2 b x) \, dx\) [478]
\(\int \csc ^3(a+b x) \csc (2 a+2 b x) \, dx\) [479]
\(\int \csc ^3(a+b x) \csc ^2(2 a+2 b x) \, dx\) [480]
\(\int \csc ^3(a+b x) \csc ^3(2 a+2 b x) \, dx\) [481]
\(\int \csc ^3(a+b x) \csc ^4(2 a+2 b x) \, dx\) [482]
\(\int \sin (a+b x) \sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x) \, dx\) [483]
\(\int \sin (a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x) \, dx\) [484]
\(\int \sin (a+b x) \sqrt {\sin (2 a+2 b x)} \, dx\) [485]
\(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sqrt {\sin (2 a+2 b x)}} \, dx\) [486]
\(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x)} \, dx\) [487]
\(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x)} \, dx\) [488]
\(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x)} \, dx\) [489]
\(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{9}{2}}(2 a+2 b x)} \, dx\) [490]
\(\int \sin ^2(a+b x) \sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x) \, dx\) [491]
\(\int \sin ^2(a+b x) \sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x) \, dx\) [492]
\(\int \sin ^2(a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x) \, dx\) [493]
\(\int \sin ^2(a+b x) \sqrt {\sin (2 a+2 b x)} \, dx\) [494]
\(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sqrt {\sin (2 a+2 b x)}} \, dx\) [495]
\(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x)} \, dx\) [496]
\(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x)} \, dx\) [497]
\(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x)} \, dx\) [498]
\(\int \sin ^3(a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x) \, dx\) [499]
\(\int \sin ^3(a+b x) \sqrt {\sin (2 a+2 b x)} \, dx\) [500]