3.9.1 \(\int \cos ^2(x) \cot ^3(x) \, dx\) [801]
3.9.2 \(\int \sec (x) (1-\sin (x)) \, dx\) [802]
3.9.3 \(\int (1+\cos (x)) \csc (x) \, dx\) [803]
3.9.4 \(\int \cos ^2(x) (1-\tan ^2(x)) \, dx\) [804]
3.9.5 \(\int \csc (2 x) (\cos (x)+\sin (x)) \, dx\) [805]
3.9.6 \(\int \genfrac {}{}{}{}{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx\) [806]
3.9.7 \(\int \genfrac {}{}{}{}{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx\) [807]
3.9.8 \(\int \genfrac {}{}{}{}{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx\) [808]
3.9.9 \(\int \genfrac {}{}{}{}{\cos (x)}{\sin (x)+\sin ^{\sqrt {2}}(x)} \, dx\) [809]
3.9.10 \(\int \genfrac {}{}{}{}{1}{2 \sin (x)+\sin (2 x)} \, dx\) [810]
3.9.11 \(\int (-3+4 x+x^2) \sin (2 x) \, dx\) [811]
3.9.12 \(\int e^{-3 x} \cos (4 x) \, dx\) [812]
3.9.13 \(\int \genfrac {}{}{}{}{\cos (x) \sin (x)}{\sqrt {1+\sin (x)}} \, dx\) [813]
3.9.14 \(\int (x+60 \cos ^5(x) \sin ^4(x)) \, dx\) [814]
3.9.15 \(\int \cos (x) (\sec (x)+\tan (x)) \, dx\) [815]
3.9.16 \(\int \cos (x) (\sec ^3(x)+\tan (x)) \, dx\) [816]
3.9.17 \(\int \genfrac {}{}{}{}{1}{2} (-\cot (x) \csc (x)+\csc ^2(x)) \, dx\) [817]
3.9.18 \(\int (-\csc ^2(x)+\sin (2 x)) \, dx\) [818]
3.9.19 \(\int (2 \cot (2 x)-3 \sin (3 x)) \, dx\) [819]
3.9.20 \(\int x \sin (2 x^2) \, dx\) [820]
3.9.21 \(\int -\cos (1-x) \sin (1-x) \sqrt {1+\sin ^2(1-x)} \, dx\) [821]
3.9.22 \(\int \genfrac {}{}{}{}{\cos (\genfrac {}{}{}{}{1}{x}) \sin (\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [822]
3.9.23 \(\int \cos (\genfrac {}{}{}{}{1}{2} (1+3 x)) \sin ^3(\genfrac {}{}{}{}{1}{2} (1+3 x)) \, dx\) [823]
3.9.24 \(\int 4 x \tan (x^2) \, dx\) [824]
3.9.25 \(\int x \sec (5-x^2) \, dx\) [825]
3.9.26 \(\int \genfrac {}{}{}{}{\csc (\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [826]
3.9.27 \(\int (\csc (x)-\sec (x)) (\cos (x)+\sin (x)) \, dx\) [827]
3.9.28 \(\int (-\cos (3 x) \sin (2 x)+\cos (2 x) \sin (3 x)) \, dx\) [828]
3.9.29 \(\int 4 x \sec ^2(2 x) \, dx\) [829]
3.9.30 \(\int 4 \sin ^2(x) \tan ^2(x) \, dx\) [830]
3.9.31 \(\int \cos ^4(x) \cot ^2(x) \, dx\) [831]
3.9.32 \(\int 16 \cos ^2(x) \sin ^2(x) \, dx\) [832]
3.9.33 \(\int 8 \cos ^2(x) \sin ^4(x) \, dx\) [833]
3.9.34 \(\int 35 \cos ^3(x) \sin ^4(x) \, dx\) [834]
3.9.35 \(\int 4 \cos ^4(x) \sin ^4(x) \, dx\) [835]
3.9.36 \(\int \genfrac {}{}{}{}{\cos (x)}{-\sin (x)+\sin ^3(x)} \, dx\) [836]
3.9.37 \(\int (-1+2 \cos ^2(x)+\cos (x) \sin (x)) \, dx\) [837]
3.9.38 \(\int (\cos ^2(x)+\sin ^2(x)) \, dx\) [838]
3.9.39 \(\int (-\cos ^2(x)+\sin ^2(x)) \, dx\) [839]
3.9.40 \(\int 2^{\sin (x)} \cos (x) \, dx\) [840]
3.9.41 \(\int (\tan ^3(x)+\tan ^5(x)) \, dx\) [841]
3.9.42 \(\int x \sec (x) (2+x \tan (x)) \, dx\) [842]
3.9.43 \(\int \genfrac {}{}{}{}{\cot (\sqrt {x}) \csc (\sqrt {x})}{\sqrt {x}} \, dx\) [843]
3.9.44 \(\int \genfrac {}{}{}{}{\cos (\sqrt {x}) \sin (\sqrt {x})}{\sqrt {x}} \, dx\) [844]
3.9.45 \(\int \genfrac {}{}{}{}{\sec (\sqrt {x}) \tan (\sqrt {x})}{\sqrt {x}} \, dx\) [845]
3.9.46 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \sin (2 x)} \, dx\) [846]
3.9.47 \(\int \genfrac {}{}{}{}{\cos ^2(x)}{a+b \sin (2 x)} \, dx\) [847]
3.9.48 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \cos (2 x)} \, dx\) [848]
3.9.49 \(\int \genfrac {}{}{}{}{\cos ^2(x)}{a+b \cos (2 x)} \, dx\) [849]
3.9.50 \(\int \genfrac {}{}{}{}{\tan (c+d x)}{\sqrt {a \sin ^2(c+d x)}} \, dx\) [850]
3.9.51 \(\int \genfrac {}{}{}{}{\cot (c+d x)}{\sqrt {a \cos ^2(c+d x)}} \, dx\) [851]
3.9.52 \(\int \genfrac {}{}{}{}{x \cos (x^2)}{\sqrt {\sin (x^2)}} \, dx\) [852]
3.9.53 \(\int \genfrac {}{}{}{}{\cos (x)}{\sqrt {1-\cos (2 x)}} \, dx\) [853]
3.9.54 \(\int \genfrac {}{}{}{}{\cos ^2(\log (x)) \sin ^2(\log (x))}{x} \, dx\) [854]
3.9.55 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{\cos ^3(x)+\sin ^3(x)} \, dx\) [855]
3.9.56 \(\int \genfrac {}{}{}{}{\cos ^3(x)}{\cos ^3(x)+\sin ^3(x)} \, dx\) [856]
3.9.57 \(\int \genfrac {}{}{}{}{\sec (x)}{-5+\cos ^2(x)+4 \sin (x)} \, dx\) [857]
3.9.58 \(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(x) \sqrt {3 \cos (x)+\sin (x)}} \, dx\) [858]
3.9.59 \(\int \genfrac {}{}{}{}{\csc (x) \sqrt {\cos (x)+\sin (x)}}{\cos ^{\genfrac {}{}{}{}{3}{2}}(x)} \, dx\) [859]
3.9.60 \(\int \genfrac {}{}{}{}{\cos (x)+\sin (x)}{\sqrt {1+\sin (2 x)}} \, dx\) [860]
3.9.61 \(\int \sec (x) \sqrt {\sec (x)+\tan (x)} \, dx\) [861]
3.9.62 \(\int \sec (x) \sqrt {4+3 \sec (x)} \tan (x) \, dx\) [862]
3.9.63 \(\int \sec (x) \sqrt {1+\sec (x)} \tan ^3(x) \, dx\) [863]
3.9.64 \(\int \cot ^3(x) \csc (x) \sqrt {1+\csc (x)} \, dx\) [864]
3.9.65 \(\int \sqrt {\csc (x)} (x \cos (x)-4 \sec (x) \tan (x)) \, dx\) [865]
3.9.66 \(\int \cot (x) \sqrt {-1+\csc ^2(x)} (1-\sin ^2(x))^3 \, dx\) [866]
3.9.67 \(\int \cos (x) \sqrt {-1+\csc ^2(x)} (1-\sin ^2(x))^3 \, dx\) [867]
3.9.68 \(\int \genfrac {}{}{}{}{x \csc (x) \sec (x)}{\sqrt {a \sec ^2(x)}} \, dx\) [868]
3.9.69 \(\int \genfrac {}{}{}{}{x^2 \csc (x) \sec (x)}{\sqrt {a \sec ^2(x)}} \, dx\) [869]
3.9.70 \(\int \genfrac {}{}{}{}{x^3 \csc (x) \sec (x)}{\sqrt {a \sec ^2(x)}} \, dx\) [870]
3.9.71 \(\int \genfrac {}{}{}{}{x \csc (x) \sec (x)}{\sqrt {a \sec ^4(x)}} \, dx\) [871]
3.9.72 \(\int \genfrac {}{}{}{}{x^2 \csc (x) \sec (x)}{\sqrt {a \sec ^4(x)}} \, dx\) [872]
3.9.73 \(\int \genfrac {}{}{}{}{x^3 \csc (x) \sec (x)}{\sqrt {a \sec ^4(x)}} \, dx\) [873]
3.9.74 \(\int x \csc (x) \sec (x) \sqrt {a \sec ^2(x)} \, dx\) [874]
3.9.75 \(\int x^2 \csc (x) \sec (x) \sqrt {a \sec ^2(x)} \, dx\) [875]
3.9.76 \(\int x^3 \csc (x) \sec (x) \sqrt {a \sec ^2(x)} \, dx\) [876]
3.9.77 \(\int x \csc (x) \sec (x) \sqrt {a \sec ^4(x)} \, dx\) [877]
3.9.78 \(\int x^2 \csc (x) \sec (x) \sqrt {a \sec ^4(x)} \, dx\) [878]
3.9.79 \(\int x^3 \csc (x) \sec (x) \sqrt {a \sec ^4(x)} \, dx\) [879]
3.9.80 \(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\) [880]
3.9.81 \(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\) [881]
3.9.82 \(\int \cos (x) \sin (2 x) \sin (3 x) \, dx\) [882]
3.9.83 \(\int \cos (2 x) \cos (3 x) \sin (x) \, dx\) [883]
3.9.84 \(\int x \sin (x^2) \, dx\) [884]
3.9.85 \(\int (-\cos (x)+\sin (x)) (\cos (x)+\sin (x))^5 \, dx\) [885]
3.9.86 \(\int 2 x \sec ^2(x) \tan (x) \, dx\) [886]
3.9.87 \(\int \genfrac {}{}{}{}{1+\cos ^2(x)}{1+\cos (2 x)} \, dx\) [887]
3.9.88 \(\int \genfrac {}{}{}{}{\sin (x)}{\cos ^3(x)-\cos ^5(x)} \, dx\) [888]
3.9.89 \(\int \sec (x) (5-11 \sec ^5(x))^2 \tan (x) \, dx\) [889]
3.9.90 \(\int \sin ^3(5 x) \tan ^3(5 x) \, dx\) [890]
3.9.91 \(\int \sin ^3(5 x) \tan ^4(5 x) \, dx\) [891]
3.9.92 \(\int \sin ^5(6 x) \tan ^3(6 x) \, dx\) [892]
3.9.93 \(\int (-1+\sec ^2(2 x))^3 \sin (2 x) \, dx\) [893]
3.9.94 \(\int \sin (x) \tan ^5(x) \, dx\) [894]
3.9.95 \(\int \cos ^5(2 x) \cot ^4(2 x) \, dx\) [895]
3.9.96 \(\int \cos (3 x) (-1+\csc ^2(3 x))^3 (1-\sin ^2(3 x))^5 \, dx\) [896]
3.9.97 \(\int \cot (2 x) (-1+\csc ^2(2 x))^2 (1-\sin ^2(2 x))^2 \, dx\) [897]
3.9.98 \(\int \cos (2 x) (-1+\csc ^2(2 x))^4 (1-\sin ^2(2 x))^2 \, dx\) [898]
3.9.99 \(\int \cot (3 x) (-1+\csc ^2(3 x))^3 (1-\sin ^2(3 x))^2 \, dx\) [899]
3.9.100 \(\int (1+\cot ^2(9 x))^2 (1+\tan ^2(9 x))^3 \, dx\) [900]