3.8.1 \(\int \genfrac {}{}{}{}{\sec ^2(x) (a+b \tan (x))}{c+d \tan (x)} \, dx\) [701]
3.8.2 \(\int \genfrac {}{}{}{}{\sec ^2(x) (a+b \tan (x))^2}{c+d \tan (x)} \, dx\) [702]
3.8.3 \(\int \genfrac {}{}{}{}{\sec ^2(x) (a+b \tan (x))^3}{c+d \tan (x)} \, dx\) [703]
3.8.4 \(\int \genfrac {}{}{}{}{\sec ^2(x) \tan ^2(x)}{(2+\tan ^3(x))^2} \, dx\) [704]
3.8.5 \(\int \sec ^2(x) \tan ^6(x) (1+\tan ^2(x))^3 \, dx\) [705]
3.8.6 \(\int \genfrac {}{}{}{}{\sec ^2(x) (2+\tan ^2(x))}{1+\tan ^3(x)} \, dx\) [706]
3.8.7 \(\int (1+\cos ^2(x)) \sec ^2(x) \, dx\) [707]
3.8.8 \(\int \genfrac {}{}{}{}{\sec ^2(x)}{1+\sec ^2(x)-3 \tan (x)} \, dx\) [708]
3.8.9 \(\int \genfrac {}{}{}{}{\sec ^2(x)}{\sqrt {4-\sec ^2(x)}} \, dx\) [709]
3.8.10 \(\int \genfrac {}{}{}{}{\sec ^2(x)}{\sqrt {1-4 \tan ^2(x)}} \, dx\) [710]
3.8.11 \(\int \genfrac {}{}{}{}{\sec ^2(x)}{\sqrt {-4+\tan ^2(x)}} \, dx\) [711]
3.8.12 \(\int \sqrt {1-\cot ^2(x)} \sec ^2(x) \, dx\) [712]
3.8.13 \(\int \sec ^2(x) \sqrt {1-\tan ^2(x)} \, dx\) [713]
3.8.14 \(\int e^{\tan (x)} \sec ^2(x) \, dx\) [714]
3.8.15 \(\int \sec ^4(x) (-1+\sec ^2(x))^2 \tan (x) \, dx\) [715]
3.8.16 \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+b \cot (x)} \, dx\) [716]
3.8.17 \(\int (a+b \cot (x))^n \csc ^2(x) \, dx\) [717]
3.8.18 \(\int \csc ^2(x) (1+\sin ^2(x)) \, dx\) [718]
3.8.19 \(\int (1+\genfrac {}{}{}{}{1}{1+\cot ^2(x)}) \csc ^2(x) \, dx\) [719]
3.8.20 \(\int \genfrac {}{}{}{}{(a+b \cot (x)) \csc ^2(x)}{c+d \cot (x)} \, dx\) [720]
3.8.21 \(\int \genfrac {}{}{}{}{(a+b \cot (x))^2 \csc ^2(x)}{c+d \cot (x)} \, dx\) [721]
3.8.22 \(\int \genfrac {}{}{}{}{(a+b \cot (x))^3 \csc ^2(x)}{c+d \cot (x)} \, dx\) [722]
3.8.23 \(\int e^{-\cot (x)} \csc ^2(x) \, dx\) [723]
3.8.24 \(\int \genfrac {}{}{}{}{\sec (x) \tan (x)}{a+b \sec (x)} \, dx\) [724]
3.8.25 \(\int \genfrac {}{}{}{}{\sec (x) \tan (x)}{1+\sec ^2(x)} \, dx\) [725]
3.8.26 \(\int \genfrac {}{}{}{}{\sec (x) \tan (x)}{9+4 \sec ^2(x)} \, dx\) [726]
3.8.27 \(\int \genfrac {}{}{}{}{\sec (x) \tan (x)}{\sec (x)+\sec ^2(x)} \, dx\) [727]
3.8.28 \(\int \genfrac {}{}{}{}{\sec (x) \tan (x)}{\sqrt {4+\sec ^2(x)}} \, dx\) [728]
3.8.29 \(\int \genfrac {}{}{}{}{\sec (x) \tan (x)}{\sqrt {1+\cos ^2(x)}} \, dx\) [729]
3.8.30 \(\int e^{\sec (x)} \sec (x) \tan (x) \, dx\) [730]
3.8.31 \(\int 2^{\sec (x)} \sec (x) \tan (x) \, dx\) [731]
3.8.32 \(\int \genfrac {}{}{}{}{\sec (2 x) \tan (2 x)}{(1+\sec (2 x))^{3/2}} \, dx\) [732]
3.8.33 \(\int \sqrt {1+5 \cos ^2(3 x)} \sec (3 x) \tan (3 x) \, dx\) [733]
3.8.34 \(\int \genfrac {}{}{}{}{\sec (3 x) \tan (3 x)}{\sqrt {1+5 \cos ^2(3 x)}} \, dx\) [734]
3.8.35 \(\int \genfrac {}{}{}{}{\cot (x) \csc (x)}{a+b \csc (x)} \, dx\) [735]
3.8.36 \(\int 5^{\csc (3 x)} \cot (3 x) \csc (3 x) \, dx\) [736]
3.8.37 \(\int \genfrac {}{}{}{}{\cot (x) \csc (x)}{1+\csc ^2(x)} \, dx\) [737]
3.8.38 \(\int \genfrac {}{}{}{}{\cot (6 x) \csc (6 x)}{(5-11 \csc ^2(6 x))^2} \, dx\) [738]
3.8.39 \(\int \genfrac {}{}{}{}{\cot (x) \csc (x)}{\sqrt {1+\sin ^2(x)}} \, dx\) [739]
3.8.40 \(\int \genfrac {}{}{}{}{\cot (5 x) \csc ^3(5 x)}{\sqrt {1+\sin ^2(5 x)}} \, dx\) [740]
3.8.41 \(\int e^{n \sin (a+b x)} \sin (2 a+2 b x) \, dx\) [741]
3.8.42 \(\int e^{n \sin (a+b x)} \sin (2 (a+b x)) \, dx\) [742]
3.8.43 \(\int e^{n \sin (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})} \sin (a+b x) \, dx\) [743]
3.8.44 \(\int e^{n \sin (\genfrac {}{}{}{}{1}{2} (a+b x))} \sin (a+b x) \, dx\) [744]
3.8.45 \(\int e^{n \cos (a+b x)} \sin (2 a+2 b x) \, dx\) [745]
3.8.46 \(\int e^{n \cos (a+b x)} \sin (2 (a+b x)) \, dx\) [746]
3.8.47 \(\int e^{n \cos (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})} \sin (a+b x) \, dx\) [747]
3.8.48 \(\int e^{n \cos (\genfrac {}{}{}{}{1}{2} (a+b x))} \sin (a+b x) \, dx\) [748]
3.8.49 \(\int \csc (x) \log (\tan (x)) \sec (x) \, dx\) [749]
3.8.50 \(\int \csc (2 x) \log (\tan (x)) \, dx\) [750]
3.8.51 \(\int e^{\cos ^2(x)+\sin ^2(x)} \, dx\) [751]
3.8.52 \(\int x \sec ^2(x) \, dx\) [752]
3.8.53 \(\int x \cos ^4(x^2) \, dx\) [753]
3.8.54 \(\int \sqrt {\cos (x)} \sin (x) \, dx\) [754]
3.8.55 \(\int e^{-2 x} \tan (e^{-2 x}) \, dx\) [755]
3.8.56 \(\int \genfrac {}{}{}{}{\sec (x) \sin (2 x)}{1+\cos (x)} \, dx\) [756]
3.8.57 \(\int x \sec ^2(3 x) \, dx\) [757]
3.8.58 \(\int e^{-2 \pi x} \cos (2 \pi x) \, dx\) [758]
3.8.59 \(\int (\cos ^{12}(x) \sin ^{10}(x)-\cos ^{10}(x) \sin ^{12}(x)) \, dx\) [759]
3.8.60 \(\int x \cot (x^2) \, dx\) [760]
3.8.61 \(\int x \sec ^2(x^2) \, dx\) [761]
3.8.62 \(\int \genfrac {}{}{}{}{\sin (8 x)}{9+\sin ^4(4 x)} \, dx\) [762]
3.8.63 \(\int \genfrac {}{}{}{}{\cos (2 x)}{8+\sin ^2(2 x)} \, dx\) [763]
3.8.64 \(\int x (\cos ^3(x^2)-\sin ^3(x^2)) \, dx\) [764]
3.8.65 \(\int \genfrac {}{}{}{}{\cos (x) \sin (x)}{1-\cos (x)} \, dx\) [765]
3.8.66 \(\int x \cos (x^2) \, dx\) [766]
3.8.67 \(\int x^2 \cos (4 x^3) \, dx\) [767]
3.8.68 \(\int x^3 \cos (x^4) \, dx\) [768]
3.8.69 \(\int x \sin (\genfrac {}{}{}{}{x^2}{2}) \, dx\) [769]
3.8.70 \(\int x \sec (x^2) \tan (x^2) \, dx\) [770]
3.8.71 \(\int \genfrac {}{}{}{}{\tan ^2(\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [771]
3.8.72 \(\int x \tan (1+x^2) \, dx\) [772]
3.8.73 \(\int \sin (\pi (1+2 x)) \, dx\) [773]
3.8.74 \(\int \genfrac {}{}{}{}{\cot (x)+\csc ^2(x)}{1-\cos ^2(x)} \, dx\) [774]
3.8.75 \(\int x^2 \cos (4 x^3) \cos (5 x^3) \, dx\) [775]
3.8.76 \(\int x^{14} \sin (x^3) \, dx\) [776]
3.8.77 \(\int e^{-3 x^3} x^2 \sin (2 x^3) \, dx\) [777]
3.8.78 \(\int 2 x \cos (x^2) \, dx\) [778]
3.8.79 \(\int 3 x^2 \cos (7+x^3) \, dx\) [779]
3.8.80 \(\int (\genfrac {}{}{}{}{1}{1+x^2}+\sin (x)) \, dx\) [780]
3.8.81 \(\int x \sin (1+x^2) \, dx\) [781]
3.8.82 \(\int x \cos (1+x^2) \, dx\) [782]
3.8.83 \(\int (1+x^2 \cos (x^3)) \, dx\) [783]
3.8.84 \(\int x^2 \sin (1+x^3) \, dx\) [784]
3.8.85 \(\int 12 x^2 \cos (x^3) \, dx\) [785]
3.8.86 \(\int (1+x) \sin (1+x) \, dx\) [786]
3.8.87 \(\int x^5 \cos (x^3) \, dx\) [787]
3.8.88 \(\int e^{-3 x} \cos (x) \, dx\) [788]
3.8.89 \(\int x^3 \sin (x^2) \, dx\) [789]
3.8.90 \(\int x^3 \cos (x^2) \, dx\) [790]
3.8.91 \(\int \cos (x) \cos (2 \sin (x)) \, dx\) [791]
3.8.92 \(\int \genfrac {}{}{}{}{\cos (x) \sin (x)}{1+\cos ^2(x)} \, dx\) [792]
3.8.93 \(\int (1+\cos (x)) (x+\sin (x))^3 \, dx\) [793]
3.8.94 \(\int (1+\cos (x)) \csc ^2(x) \, dx\) [794]
3.8.95 \(\int \sin (x) \tan ^2(x) \, dx\) [795]
3.8.96 \(\int e^{\sin (x)} \sec ^2(x) (x \cos ^3(x)-\sin (x)) \, dx\) [796]
3.8.97 \(\int x \csc ^2(x) \, dx\) [797]
3.8.98 \(\int \cos (x) \sin (\genfrac {}{}{}{}{\pi }{6}+x) \, dx\) [798]
3.8.99 \(\int x \sin ^3(x^2) \, dx\) [799]
3.8.100 \(\int \sin ^2(x) \tan (x) \, dx\) [800]