3.5.1 \(\int \genfrac {}{}{}{}{1}{(a+b \sin ^3(c+d x))^2} \, dx\) [401]
  3.5.2 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\) [402]
  3.5.3 \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{(a+b \sin ^3(c+d x))^2} \, dx\) [403]
  3.5.4 \(\int \genfrac {}{}{}{}{\cos ^7(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [404]
  3.5.5 \(\int \genfrac {}{}{}{}{\cos ^5(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [405]
  3.5.6 \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [406]
  3.5.7 \(\int \genfrac {}{}{}{}{\cos (c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [407]
  3.5.8 \(\int \genfrac {}{}{}{}{\sec (c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [408]
  3.5.9 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [409]
  3.5.10 \(\int \genfrac {}{}{}{}{\sec ^5(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [410]
  3.5.11 \(\int \genfrac {}{}{}{}{\cos ^{10}(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [411]
  3.5.12 \(\int \genfrac {}{}{}{}{\cos ^8(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [412]
  3.5.13 \(\int \genfrac {}{}{}{}{\cos ^6(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [413]
  3.5.14 \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [414]
  3.5.15 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [415]
  3.5.16 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [416]
  3.5.17 \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [417]
  3.5.18 \(\int \genfrac {}{}{}{}{\sec ^6(c+d x)}{a-b \sin ^4(c+d x)} \, dx\) [418]
  3.5.19 \(\int \cos ^m(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [419]
  3.5.20 \(\int \cos ^5(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [420]
  3.5.21 \(\int \cos ^3(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [421]
  3.5.22 \(\int \cos (e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [422]
  3.5.23 \(\int \sec (e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [423]
  3.5.24 \(\int \sec ^3(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [424]
  3.5.25 \(\int \cos ^4(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [425]
  3.5.26 \(\int \cos ^2(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [426]
  3.5.27 \(\int (a+b \sin ^4(e+f x))^p \, dx\) [427]
  3.5.28 \(\int \sec ^2(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [428]
  3.5.29 \(\int \sec ^4(e+f x) (a+b \sin ^4(e+f x))^p \, dx\) [429]
  3.5.30 \(\int \cos ^m(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [430]
  3.5.31 \(\int \cos ^5(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [431]
  3.5.32 \(\int \cos ^3(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [432]
  3.5.33 \(\int \cos (e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [433]
  3.5.34 \(\int \sec (e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [434]
  3.5.35 \(\int \sec ^3(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [435]
  3.5.36 \(\int \cos ^4(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [436]
  3.5.37 \(\int \cos ^2(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [437]
  3.5.38 \(\int (a+b \sin ^n(e+f x))^p \, dx\) [438]
  3.5.39 \(\int \sec ^2(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [439]
  3.5.40 \(\int \sec ^4(e+f x) (a+b \sin ^n(e+f x))^p \, dx\) [440]
  3.5.41 \(\int \genfrac {}{}{}{}{\tan ^7(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [441]
  3.5.42 \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [442]
  3.5.43 \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [443]
  3.5.44 \(\int \genfrac {}{}{}{}{\tan (c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [444]
  3.5.45 \(\int \genfrac {}{}{}{}{\cot (c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [445]
  3.5.46 \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [446]
  3.5.47 \(\int \genfrac {}{}{}{}{\cot ^5(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [447]
  3.5.48 \(\int \genfrac {}{}{}{}{\cot ^7(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [448]
  3.5.49 \(\int \genfrac {}{}{}{}{\tan ^8(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [449]
  3.5.50 \(\int \genfrac {}{}{}{}{\tan ^6(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [450]
  3.5.51 \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [451]
  3.5.52 \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [452]
  3.5.53 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [453]
  3.5.54 \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [454]
  3.5.55 \(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [455]
  3.5.56 \(\int \genfrac {}{}{}{}{\cot ^8(c+d x)}{a+b \sin ^2(c+d x)} \, dx\) [456]
  3.5.57 \(\int \sqrt {a-a \sin ^2(e+f x)} \tan ^5(e+f x) \, dx\) [457]
  3.5.58 \(\int \sqrt {a-a \sin ^2(e+f x)} \tan ^3(e+f x) \, dx\) [458]
  3.5.59 \(\int \sqrt {a-a \sin ^2(e+f x)} \tan (e+f x) \, dx\) [459]
  3.5.60 \(\int \cot (e+f x) \sqrt {a-a \sin ^2(e+f x)} \, dx\) [460]
  3.5.61 \(\int \cot ^3(e+f x) \sqrt {a-a \sin ^2(e+f x)} \, dx\) [461]
  3.5.62 \(\int \sqrt {a-a \sin ^2(e+f x)} \tan ^6(e+f x) \, dx\) [462]
  3.5.63 \(\int \sqrt {a-a \sin ^2(e+f x)} \tan ^4(e+f x) \, dx\) [463]
  3.5.64 \(\int \sqrt {a-a \sin ^2(e+f x)} \tan ^2(e+f x) \, dx\) [464]
  3.5.65 \(\int \cot ^2(e+f x) \sqrt {a-a \sin ^2(e+f x)} \, dx\) [465]
  3.5.66 \(\int \cot ^4(e+f x) \sqrt {a-a \sin ^2(e+f x)} \, dx\) [466]
  3.5.67 \(\int \cot ^6(e+f x) \sqrt {a-a \sin ^2(e+f x)} \, dx\) [467]
  3.5.68 \(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [468]
  3.5.69 \(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [469]
  3.5.70 \(\int \genfrac {}{}{}{}{\tan (e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [470]
  3.5.71 \(\int \genfrac {}{}{}{}{\cot (e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [471]
  3.5.72 \(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [472]
  3.5.73 \(\int \genfrac {}{}{}{}{\tan ^4(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [473]
  3.5.74 \(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [474]
  3.5.75 \(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [475]
  3.5.76 \(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [476]
  3.5.77 \(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{\sqrt {a-a \sin ^2(e+f x)}} \, dx\) [477]
  3.5.78 \(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [478]
  3.5.79 \(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [479]
  3.5.80 \(\int \genfrac {}{}{}{}{\tan (e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [480]
  3.5.81 \(\int \genfrac {}{}{}{}{\cot (e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [481]
  3.5.82 \(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [482]
  3.5.83 \(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [483]
  3.5.84 \(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [484]
  3.5.85 \(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [485]
  3.5.86 \(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [486]
  3.5.87 \(\int \genfrac {}{}{}{}{\cot ^8(e+f x)}{(a-a \sin ^2(e+f x))^{3/2}} \, dx\) [487]
  3.5.88 \(\int \sqrt {a+b \sin ^2(e+f x)} \tan ^5(e+f x) \, dx\) [488]
  3.5.89 \(\int \sqrt {a+b \sin ^2(e+f x)} \tan ^3(e+f x) \, dx\) [489]
  3.5.90 \(\int \sqrt {a+b \sin ^2(e+f x)} \tan (e+f x) \, dx\) [490]
  3.5.91 \(\int \cot (e+f x) \sqrt {a+b \sin ^2(e+f x)} \, dx\) [491]
  3.5.92 \(\int \cot ^3(e+f x) \sqrt {a+b \sin ^2(e+f x)} \, dx\) [492]
  3.5.93 \(\int \cot ^5(e+f x) \sqrt {a+b \sin ^2(e+f x)} \, dx\) [493]
  3.5.94 \(\int \sqrt {a+b \sin ^2(e+f x)} \tan ^4(e+f x) \, dx\) [494]
  3.5.95 \(\int \sqrt {a+b \sin ^2(e+f x)} \tan ^2(e+f x) \, dx\) [495]
  3.5.96 \(\int \sqrt {a+b \sin ^2(e+f x)} \, dx\) [496]
  3.5.97 \(\int \cot ^2(e+f x) \sqrt {a+b \sin ^2(e+f x)} \, dx\) [497]
  3.5.98 \(\int \cot ^4(e+f x) \sqrt {a+b \sin ^2(e+f x)} \, dx\) [498]
  3.5.99 \(\int (a+b \sin ^2(e+f x))^{3/2} \tan ^5(e+f x) \, dx\) [499]
  3.5.100 \(\int (a+b \sin ^2(e+f x))^{3/2} \tan ^3(e+f x) \, dx\) [500]