\(\int \sec ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [101]
   \(\int \sec ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [102]
   \(\int \sec ^6(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [103]
   \(\int \sec ^7(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [104]
   \(\int \sec ^8(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [105]
   \(\int \sec ^9(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [106]
   \(\int \sec ^{10}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [107]
   \(\int \sec ^{11}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [108]
   \(\int \sec ^{12}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [109]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [110]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [111]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [112]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [113]
   \(\int \genfrac {}{}{}{}{\cos (c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [114]
   \(\int \genfrac {}{}{}{}{1}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [115]
   \(\int \genfrac {}{}{}{}{\sec (c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [116]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [117]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [118]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [119]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [120]
   \(\int \genfrac {}{}{}{}{\sec ^6(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [121]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [122]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [123]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [124]
   \(\int \genfrac {}{}{}{}{\cos (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [125]
   \(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [126]
   \(\int \genfrac {}{}{}{}{\sec (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [128]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [129]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [130]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [131]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [132]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [133]
   \(\int \genfrac {}{}{}{}{\cos (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [135]
   \(\int \genfrac {}{}{}{}{\sec (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [136]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [137]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [138]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [139]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [140]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{\cos (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [145]
   \(\int \genfrac {}{}{}{}{\sec (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [146]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [147]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [148]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [149]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [150]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [151]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [152]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [153]
   \(\int \genfrac {}{}{}{}{\cos (c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{1}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{\sec (c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [156]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [157]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [158]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [159]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [160]
   \(\int \genfrac {}{}{}{}{\sec ^6(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [161]
   \(\int \genfrac {}{}{}{}{\sec ^7(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [162]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [163]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [164]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [165]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [166]
   \(\int \genfrac {}{}{}{}{\cos (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [167]
   \(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [168]
   \(\int \genfrac {}{}{}{}{\sec (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [169]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [170]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [171]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [172]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [173]
   \(\int \genfrac {}{}{}{}{\sec ^6(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [174]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [175]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [176]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [177]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [178]
   \(\int \genfrac {}{}{}{}{\cos (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [179]
   \(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [180]
   \(\int \genfrac {}{}{}{}{\sec (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [181]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [182]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [183]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [184]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [185]
   \(\int \genfrac {}{}{}{}{\sec ^6(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [186]
   \(\int \cos ^{-n}(c+d x) (a \cos (c+d x)+i a \sin (c+d x))^n \, dx\) [187]
   \(\int \genfrac {}{}{}{}{1}{\sec (x)+\tan (x)} \, dx\) [188]
   \(\int \genfrac {}{}{}{}{\sin (x)}{\sec (x)+\tan (x)} \, dx\) [189]
   \(\int \genfrac {}{}{}{}{\cos (x)}{\sec (x)+\tan (x)} \, dx\) [190]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sec (x)+\tan (x)} \, dx\) [191]
   \(\int \genfrac {}{}{}{}{\cot (x)}{\sec (x)+\tan (x)} \, dx\) [192]
   \(\int \genfrac {}{}{}{}{\sec (x)}{\sec (x)+\tan (x)} \, dx\) [193]
   \(\int \genfrac {}{}{}{}{\csc (x)}{\sec (x)+\tan (x)} \, dx\) [194]
   \(\int \genfrac {}{}{}{}{1}{\sec (x)-\tan (x)} \, dx\) [195]
   \(\int \genfrac {}{}{}{}{\sin (x)}{\sec (x)-\tan (x)} \, dx\) [196]
   \(\int \genfrac {}{}{}{}{\cos (x)}{\sec (x)-\tan (x)} \, dx\) [197]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sec (x)-\tan (x)} \, dx\) [198]
   \(\int \genfrac {}{}{}{}{\cot (x)}{\sec (x)-\tan (x)} \, dx\) [199]
   \(\int \genfrac {}{}{}{}{\sec (x)}{\sec (x)-\tan (x)} \, dx\) [200]