\(\int \genfrac {}{}{}{}{1}{(\cos ^2(x)+\sin ^2(x))^3} \, dx\) [401]
\(\int \genfrac {}{}{}{}{1}{\cos ^2(x)-\sin ^2(x)} \, dx\) [402]
\(\int \genfrac {}{}{}{}{1}{(\cos ^2(x)-\sin ^2(x))^2} \, dx\) [403]
\(\int \genfrac {}{}{}{}{1}{(\cos ^2(x)-\sin ^2(x))^3} \, dx\) [404]
\(\int \genfrac {}{}{}{}{1}{\cos ^2(x)+a^2 \sin ^2(x)} \, dx\) [405]
\(\int \genfrac {}{}{}{}{1}{b^2 \cos ^2(x)+\sin ^2(x)} \, dx\) [406]
\(\int \genfrac {}{}{}{}{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx\) [407]
\(\int \genfrac {}{}{}{}{1}{4 \cos ^2(1+2 x)+3 \sin ^2(1+2 x)} \, dx\) [408]
\(\int \genfrac {}{}{}{}{\sin ^2(x)}{a \cos ^2(x)+b \sin ^2(x)} \, dx\) [409]
\(\int \genfrac {}{}{}{}{\cos ^2(x)}{a \cos ^2(x)+b \sin ^2(x)} \, dx\) [410]
\(\int \genfrac {}{}{}{}{1}{\sec ^2(x)+\tan ^2(x)} \, dx\) [411]
\(\int \genfrac {}{}{}{}{1}{(\sec ^2(x)+\tan ^2(x))^2} \, dx\) [412]
\(\int \genfrac {}{}{}{}{1}{(\sec ^2(x)+\tan ^2(x))^3} \, dx\) [413]
\(\int \genfrac {}{}{}{}{1}{\sec ^2(x)-\tan ^2(x)} \, dx\) [414]
\(\int \genfrac {}{}{}{}{1}{(\sec ^2(x)-\tan ^2(x))^2} \, dx\) [415]
\(\int \genfrac {}{}{}{}{1}{(\sec ^2(x)-\tan ^2(x))^3} \, dx\) [416]
\(\int \genfrac {}{}{}{}{1}{\cot ^2(x)+\csc ^2(x)} \, dx\) [417]
\(\int \genfrac {}{}{}{}{1}{(\cot ^2(x)+\csc ^2(x))^2} \, dx\) [418]
\(\int \genfrac {}{}{}{}{1}{(\cot ^2(x)+\csc ^2(x))^3} \, dx\) [419]
\(\int \genfrac {}{}{}{}{1}{\cot ^2(x)-\csc ^2(x)} \, dx\) [420]
\(\int \genfrac {}{}{}{}{1}{(\cot ^2(x)-\csc ^2(x))^2} \, dx\) [421]
\(\int \genfrac {}{}{}{}{1}{(\cot ^2(x)-\csc ^2(x))^3} \, dx\) [422]
\(\int \genfrac {}{}{}{}{\sin (n x)+\sin ((1+n) x)}{\cos (n x)-\cos ((1+n) x)} \, dx\) [423]
\(\int \genfrac {}{}{}{}{\sin (n x)-\sin ((1+n) x)}{\cos (n x)+\cos ((1+n) x)} \, dx\) [424]
\(\int \genfrac {}{}{}{}{\sin (n x)-\sin ((1+n) x)}{\cos (n x)-\cos ((1+n) x)} \, dx\) [425]
\(\int \genfrac {}{}{}{}{\sin (n x)+\sin ((1+n) x)}{\cos (n x)+\cos ((1+n) x)} \, dx\) [426]
\(\int \genfrac {}{}{}{}{\sin (100 x)+\sin (101 x)}{\cos (100 x)-\cos (101 x)} \, dx\) [427]
\(\int \genfrac {}{}{}{}{\sin (100 x)-\sin (101 x)}{\cos (100 x)+\cos (101 x)} \, dx\) [428]
\(\int \genfrac {}{}{}{}{\sin (100 x)-\sin (101 x)}{\cos (100 x)-\cos (101 x)} \, dx\) [429]
\(\int \genfrac {}{}{}{}{\sin (100 x)+\sin (101 x)}{\cos (100 x)+\cos (101 x)} \, dx\) [430]
\(\int \genfrac {}{}{}{}{\sinh (n x)+\sinh ((1+n) x)}{\cosh (n x)-\cosh ((1+n) x)} \, dx\) [431]
\(\int \genfrac {}{}{}{}{\sinh (n x)-\sinh ((1+n) x)}{\cosh (n x)+\cosh ((1+n) x)} \, dx\) [432]
\(\int \genfrac {}{}{}{}{\sinh (n x)-\sinh ((1+n) x)}{\cosh (n x)-\cosh ((1+n) x)} \, dx\) [433]
\(\int \genfrac {}{}{}{}{\sinh (n x)+\sinh ((1+n) x)}{\cosh (n x)+\cosh ((1+n) x)} \, dx\) [434]
\(\int \genfrac {}{}{}{}{\sinh (100 x)+\sinh (101 x)}{\cosh (100 x)-\cosh (101 x)} \, dx\) [435]
\(\int \genfrac {}{}{}{}{\sinh (100 x)-\sinh (101 x)}{\cosh (100 x)+\cosh (101 x)} \, dx\) [436]
\(\int \genfrac {}{}{}{}{\sinh (100 x)-\sinh (101 x)}{\cosh (100 x)-\cosh (101 x)} \, dx\) [437]
\(\int \genfrac {}{}{}{}{\sinh (100 x)+\sinh (101 x)}{\cosh (100 x)+\cosh (101 x)} \, dx\) [438]
\(\int \genfrac {}{}{}{}{1}{a+b \cos ^2(x)+c \sin ^2(x)} \, dx\) [439]
\(\int \genfrac {}{}{}{}{x}{a+b \cos ^2(x)+c \sin ^2(x)} \, dx\) [440]
\(\int \genfrac {}{}{}{}{x^2}{a+b \cos ^2(x)+c \sin ^2(x)} \, dx\) [441]
\(\int (a+b \sin (d+e x)) (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^2 \, dx\) [442]
\(\int (a+b \sin (d+e x)) (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)) \, dx\) [443]
\(\int \genfrac {}{}{}{}{a+b \sin (d+e x)}{b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)} \, dx\) [444]
\(\int \genfrac {}{}{}{}{a+b \sin (d+e x)}{(b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^2} \, dx\) [445]
\(\int \genfrac {}{}{}{}{d+e \sin (x)}{a+b \sin (x)+c \sin ^2(x)} \, dx\) [446]
\(\int (a+b \sin (d+e x)) (b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^{3/2} \, dx\) [447]
\(\int (a+b \sin (d+e x)) \sqrt {b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)} \, dx\) [448]
\(\int \genfrac {}{}{}{}{a+b \sin (d+e x)}{\sqrt {b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x)}} \, dx\) [449]
\(\int \genfrac {}{}{}{}{a+b \sin (d+e x)}{(b^2+2 a b \sin (d+e x)+a^2 \sin ^2(d+e x))^{3/2}} \, dx\) [450]
\(\int \genfrac {}{}{}{}{a+b \cos (x)}{b^2+2 a b \cos (x)+a^2 \cos ^2(x)} \, dx\) [451]
\(\int \genfrac {}{}{}{}{d+e \cos (x)}{a+b \cos (x)+c \cos ^2(x)} \, dx\) [452]
\(\int (a+b \tan (d+e x)) (b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^2 \, dx\) [453]
\(\int (a+b \tan (d+e x)) (b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)) \, dx\) [454]
\(\int \genfrac {}{}{}{}{a+b \tan (d+e x)}{b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)} \, dx\) [455]
\(\int \genfrac {}{}{}{}{a+b \tan (d+e x)}{(b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^2} \, dx\) [456]
\(\int (a+b \tan (d+e x)) (b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^{3/2} \, dx\) [457]
\(\int (a+b \tan (d+e x)) \sqrt {b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)} \, dx\) [458]
\(\int \genfrac {}{}{}{}{a+b \tan (d+e x)}{\sqrt {b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x)}} \, dx\) [459]
\(\int \genfrac {}{}{}{}{a+b \tan (d+e x)}{(b^2+2 a b \tan (d+e x)+a^2 \tan ^2(d+e x))^{3/2}} \, dx\) [460]
\(\int (a+b \sec (d+e x)) (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^2 \, dx\) [461]
\(\int (a+b \sec (d+e x)) (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)) \, dx\) [462]
\(\int \genfrac {}{}{}{}{a+b \sec (d+e x)}{b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)} \, dx\) [463]
\(\int \genfrac {}{}{}{}{a+b \sec (d+e x)}{(b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^2} \, dx\) [464]
\(\int (a+b \sec (d+e x)) (b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^{3/2} \, dx\) [465]
\(\int (a+b \sec (d+e x)) \sqrt {b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)} \, dx\) [466]
\(\int \genfrac {}{}{}{}{a+b \sec (d+e x)}{\sqrt {b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x)}} \, dx\) [467]
\(\int \genfrac {}{}{}{}{a+b \sec (d+e x)}{(b^2+2 a b \sec (d+e x)+a^2 \sec ^2(d+e x))^{3/2}} \, dx\) [468]
\(\int \genfrac {}{}{}{}{\cos (x)-i \sin (x)}{\cos (x)+i \sin (x)} \, dx\) [469]
\(\int \genfrac {}{}{}{}{\cos (x)+i \sin (x)}{\cos (x)-i \sin (x)} \, dx\) [470]
\(\int \genfrac {}{}{}{}{\cos (x)-\sin (x)}{\cos (x)+\sin (x)} \, dx\) [471]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{b \cos (x)+c \sin (x)} \, dx\) [472]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^2} \, dx\) [473]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^3} \, dx\) [474]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{b \cos (x)+c \sin (x)} \, dx\) [475]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^2} \, dx\) [476]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{(b \cos (x)+c \sin (x))^3} \, dx\) [477]
\(\int \genfrac {}{}{}{}{A+B \cos (x)}{a+b \cos (x)+c \sin (x)} \, dx\) [478]
\(\int \genfrac {}{}{}{}{A+B \cos (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\) [479]
\(\int \genfrac {}{}{}{}{A+B \cos (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\) [480]
\(\int \genfrac {}{}{}{}{A+B \cos (x)}{a+b \cos (x)+i b \sin (x)} \, dx\) [481]
\(\int \genfrac {}{}{}{}{A+B \cos (x)}{a+b \cos (x)-i b \sin (x)} \, dx\) [482]
\(\int \genfrac {}{}{}{}{A+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\) [483]
\(\int \genfrac {}{}{}{}{A+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\) [484]
\(\int \genfrac {}{}{}{}{A+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\) [485]
\(\int \genfrac {}{}{}{}{A+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx\) [486]
\(\int \genfrac {}{}{}{}{A+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx\) [487]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\) [488]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\) [489]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\) [490]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx\) [491]
\(\int \genfrac {}{}{}{}{B \cos (x)+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx\) [492]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{a+b \cos (x)+c \sin (x)} \, dx\) [493]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\) [494]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{(a+b \cos (x)+c \sin (x))^3} \, dx\) [495]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{a+b \cos (x)+i b \sin (x)} \, dx\) [496]
\(\int \genfrac {}{}{}{}{A+B \cos (x)+C \sin (x)}{a+b \cos (x)-i b \sin (x)} \, dx\) [497]
\(\int \genfrac {}{}{}{}{b^2+c^2+a b \cos (x)+a c \sin (x)}{(a+b \cos (x)+c \sin (x))^2} \, dx\) [498]
\(\int (a+b \cos (x)+c \sin (x))^{5/2} (d+b e \cos (x)+c e \sin (x)) \, dx\) [499]
\(\int (a+b \cos (x)+c \sin (x))^{3/2} (d+b e \cos (x)+c e \sin (x)) \, dx\) [500]