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