\(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{3/2} \, dx\) [401]
   \(\int \sqrt {e \sec (c+d x)} (a+i a \tan (c+d x))^{3/2} \, dx\) [402]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{\sqrt {e \sec (c+d x)}} \, dx\) [403]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{3/2}} \, dx\) [404]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{5/2}} \, dx\) [405]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{7/2}} \, dx\) [406]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{9/2}} \, dx\) [407]
   \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{5/2} \, dx\) [408]
   \(\int \sqrt {e \sec (c+d x)} (a+i a \tan (c+d x))^{5/2} \, dx\) [409]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{5/2}}{\sqrt {e \sec (c+d x)}} \, dx\) [410]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{3/2}} \, dx\) [411]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{5/2}} \, dx\) [412]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{7/2}} \, dx\) [413]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{9/2}} \, dx\) [414]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{11/2}} \, dx\) [415]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{5/2}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [416]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{3/2}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [417]
   \(\int \genfrac {}{}{}{}{\sqrt {e \sec (c+d x)}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [418]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {e \sec (c+d x)} \sqrt {a+i a \tan (c+d x)}} \, dx\) [419]
   \(\int \genfrac {}{}{}{}{1}{(e \sec (c+d x))^{3/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [420]
   \(\int \genfrac {}{}{}{}{1}{(e \sec (c+d x))^{5/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [421]
   \(\int \genfrac {}{}{}{}{1}{(e \sec (c+d x))^{7/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [422]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{7/2}}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [423]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{5/2}}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [424]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{3/2}}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [425]
   \(\int \genfrac {}{}{}{}{\sqrt {e \sec (c+d x)}}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [426]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {e \sec (c+d x)} (a+i a \tan (c+d x))^{3/2}} \, dx\) [427]
   \(\int \genfrac {}{}{}{}{1}{(e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{3/2}} \, dx\) [428]
   \(\int \genfrac {}{}{}{}{1}{(e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))^{3/2}} \, dx\) [429]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{9/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [430]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{7/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [431]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{5/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [432]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{3/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [433]
   \(\int \genfrac {}{}{}{}{\sqrt {e \sec (c+d x)}}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [434]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {e \sec (c+d x)} (a+i a \tan (c+d x))^{5/2}} \, dx\) [435]
   \(\int \genfrac {}{}{}{}{1}{(e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{5/2}} \, dx\) [436]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{7/3}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [437]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{5/3}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [438]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^{2/3}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [439]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{e \sec (c+d x)}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [440]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{e \sec (c+d x)} \sqrt {a+i a \tan (c+d x)}} \, dx\) [441]
   \(\int \genfrac {}{}{}{}{1}{(e \sec (c+d x))^{4/3} \sqrt {a+i a \tan (c+d x)}} \, dx\) [442]
   \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{2/3}}{(a+i a \tan (e+f x))^{7/3}} \, dx\) [443]
   \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{2/3}}{(a+i a \tan (e+f x))^{4/3}} \, dx\) [444]
   \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{2/3}}{\sqrt [3]{a+i a \tan (e+f x)}} \, dx\) [445]
   \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{2/3} \, dx\) [446]
   \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{5/3} \, dx\) [447]
   \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{8/3} \, dx\) [448]
   \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{11/3} \, dx\) [449]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^5 \, dx\) [450]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^3 \, dx\) [451]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^2 \, dx\) [452]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x)) \, dx\) [453]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^m}{a+i a \tan (c+d x)} \, dx\) [454]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^2} \, dx\) [455]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^3} \, dx\) [456]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^{7/2} \, dx\) [457]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^{5/2} \, dx\) [458]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^{3/2} \, dx\) [459]
   \(\int (e \sec (c+d x))^m \sqrt {a+i a \tan (c+d x)} \, dx\) [460]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^m}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [461]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [462]
   \(\int \genfrac {}{}{}{}{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [463]
   \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^n \, dx\) [464]
   \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^n \, dx\) [465]
   \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^n \, dx\) [466]
   \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^n \, dx\) [467]
   \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^n \, dx\) [468]
   \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^n \, dx\) [469]
   \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^n \, dx\) [470]
   \(\int \sec ^5(c+d x) (a+i a \tan (c+d x))^n \, dx\) [471]
   \(\int \sec ^3(c+d x) (a+i a \tan (c+d x))^n \, dx\) [472]
   \(\int \sec (c+d x) (a+i a \tan (c+d x))^n \, dx\) [473]
   \(\int \cos (c+d x) (a+i a \tan (c+d x))^n \, dx\) [474]
   \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^n \, dx\) [475]
   \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^n \, dx\) [476]
   \(\int (e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))^n \, dx\) [477]
   \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^n \, dx\) [478]
   \(\int \sqrt {e \sec (c+d x)} (a+i a \tan (c+d x))^n \, dx\) [479]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^n}{\sqrt {e \sec (c+d x)}} \, dx\) [480]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^n}{(e \sec (c+d x))^{3/2}} \, dx\) [481]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^n}{(e \sec (c+d x))^{5/2}} \, dx\) [482]
   \(\int (e \sec (c+d x))^{-4-n} (a+i a \tan (c+d x))^n \, dx\) [483]
   \(\int (e \sec (c+d x))^{-3-n} (a+i a \tan (c+d x))^n \, dx\) [484]
   \(\int (e \sec (c+d x))^{-2-n} (a+i a \tan (c+d x))^n \, dx\) [485]
   \(\int (e \sec (c+d x))^{-1-n} (a+i a \tan (c+d x))^n \, dx\) [486]
   \(\int (e \sec (c+d x))^{-n} (a+i a \tan (c+d x))^n \, dx\) [487]
   \(\int (e \sec (c+d x))^{1-n} (a+i a \tan (c+d x))^n \, dx\) [488]
   \(\int (e \sec (c+d x))^{2-n} (a+i a \tan (c+d x))^n \, dx\) [489]
   \(\int (e \sec (c+d x))^{3-n} (a+i a \tan (c+d x))^n \, dx\) [490]
   \(\int (e \sec (c+d x))^{6-2 n} (a+i a \tan (c+d x))^n \, dx\) [491]
   \(\int (e \sec (c+d x))^{5-2 n} (a+i a \tan (c+d x))^n \, dx\) [492]
   \(\int (e \sec (c+d x))^{4-2 n} (a+i a \tan (c+d x))^n \, dx\) [493]
   \(\int (e \sec (c+d x))^{3-2 n} (a+i a \tan (c+d x))^n \, dx\) [494]
   \(\int (e \sec (c+d x))^{2-2 n} (a+i a \tan (c+d x))^n \, dx\) [495]
   \(\int (e \sec (c+d x))^{1-2 n} (a+i a \tan (c+d x))^n \, dx\) [496]
   \(\int (e \sec (c+d x))^{-2 n} (a+i a \tan (c+d x))^n \, dx\) [497]
   \(\int (e \sec (c+d x))^{-1-2 n} (a+i a \tan (c+d x))^n \, dx\) [498]
   \(\int (e \sec (c+d x))^{-2-2 n} (a+i a \tan (c+d x))^n \, dx\) [499]
   \(\int (e \sec (c+d x))^{-3-2 n} (a+i a \tan (c+d x))^n \, dx\) [500]