3.2 Integrals 101 to 200

3.2.1 \(\int \cos (x) \cos (2 x) \, dx\) [101]
3.2.2 \(\int \cos (x) \cos (3 x) \, dx\) [102]
3.2.3 \(\int \cos (x) \cos (4 x) \, dx\) [103]
3.2.4 \(\int \cos (x) \cos (m x) \, dx\) [104]
3.2.5 \(\int \cos (x) \tan (2 x) \, dx\) [105]
3.2.6 \(\int \cos (x) \tan (3 x) \, dx\) [106]
3.2.7 \(\int \cos (x) \tan (4 x) \, dx\) [107]
3.2.8 \(\int \cos (x) \tan (5 x) \, dx\) [108]
3.2.9 \(\int \cos (x) \tan (6 x) \, dx\) [109]
3.2.10 \(\int \cos (x) \cot (2 x) \, dx\) [110]
3.2.11 \(\int \cos (x) \cot (3 x) \, dx\) [111]
3.2.12 \(\int \cos (x) \cot (4 x) \, dx\) [112]
3.2.13 \(\int \cos (x) \cot (5 x) \, dx\) [113]
3.2.14 \(\int \cos (x) \cot (6 x) \, dx\) [114]
3.2.15 \(\int \cos (x) \cot (n x) \, dx\) [115]
3.2.16 \(\int \cos (x) \sec (2 x) \, dx\) [116]
3.2.17 \(\int \cos (x) \sec (3 x) \, dx\) [117]
3.2.18 \(\int \cos (x) \sec (4 x) \, dx\) [118]
3.2.19 \(\int \cos (x) \sec (5 x) \, dx\) [119]
3.2.20 \(\int \cos (x) \sec (6 x) \, dx\) [120]
3.2.21 \(\int \cos (2 x) \sec (x) \, dx\) [121]
3.2.22 \(\int \cos (4 x) \sec (2 x) \, dx\) [122]
3.2.23 \(\int \cos (x) \csc (2 x) \, dx\) [123]
3.2.24 \(\int \cos (x) \csc (3 x) \, dx\) [124]
3.2.25 \(\int \cos (x) \csc (4 x) \, dx\) [125]
3.2.26 \(\int \cos (x) \csc (5 x) \, dx\) [126]
3.2.27 \(\int \cos (x) \csc (6 x) \, dx\) [127]
3.2.28 \(\int \cos ^3(6 x) \sin (x) \, dx\) [128]
3.2.29 \(\int \cos ^3(6 x) \sin (9 x) \, dx\) [129]
3.2.30 \(\int \cos (2 x) \sin ^2(6 x) \, dx\) [130]
3.2.31 \(\int \cos (x) \sin ^2(6 x) \, dx\) [131]
3.2.32 \(\int \cos (x) \sin ^3(6 x) \, dx\) [132]
3.2.33 \(\int \cos (7 x) \sin ^3(6 x) \, dx\) [133]
3.2.34 \(\int \cos ^2(3 x) \sin ^3(2 x) \, dx\) [134]
3.2.35 \(\int \sin (a+b x) \sin (c+b x) \, dx\) [135]
3.2.36 \(\int \sin (c-b x) \sin (a+b x) \, dx\) [136]
3.2.37 \(\int \cos (a+b x) \cos (c+b x) \, dx\) [137]
3.2.38 \(\int \cos (c-b x) \cos (a+b x) \, dx\) [138]
3.2.39 \(\int \tan (a+b x) \tan (c+b x) \, dx\) [139]
3.2.40 \(\int \tan (c-b x) \tan (a+b x) \, dx\) [140]
3.2.41 \(\int \cot (a+b x) \cot (c+b x) \, dx\) [141]
3.2.42 \(\int \cot (c-b x) \cot (a+b x) \, dx\) [142]
3.2.43 \(\int \sec (a+b x) \sec (c+b x) \, dx\) [143]
3.2.44 \(\int \sec (c-b x) \sec (a+b x) \, dx\) [144]
3.2.45 \(\int \csc (a+b x) \csc (c+b x) \, dx\) [145]
3.2.46 \(\int \csc (c-b x) \csc (a+b x) \, dx\) [146]
3.2.47 \(\int \sqrt {\sin (x) \tan (x)} \, dx\) [147]
3.2.48 \(\int (\sin (x) \tan (x))^{3/2} \, dx\) [148]
3.2.49 \(\int (\sin (x) \tan (x))^{5/2} \, dx\) [149]
3.2.50 \(\int \sqrt {\cos (x) \cot (x)} \, dx\) [150]
3.2.51 \(\int (\cos (x) \cot (x))^{3/2} \, dx\) [151]
3.2.52 \(\int (\cos (x) \cot (x))^{5/2} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{x \cos (x)}{(a+b \sin (x))^2} \, dx\) [153]
3.2.54 \(\int \genfrac {}{}{}{}{x \cos (x)}{(a+b \sin (x))^3} \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{x \sin (x)}{(a+b \cos (x))^2} \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{x \sin (x)}{(a+b \cos (x))^3} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{x \sec ^2(x)}{(a+b \tan (x))^2} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{x \csc ^2(x)}{(a+b \cot (x))^2} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{a+b \tan ^2(c+d x)} \, dx\) [159]
3.2.60 \(\int \genfrac {}{}{}{}{x \sec ^2(c+d x)}{a+b \tan ^2(c+d x)} \, dx\) [160]
3.2.61 \(\int \genfrac {}{}{}{}{x^2 \sec ^2(c+d x)}{a+b \tan ^2(c+d x)} \, dx\) [161]
3.2.62 \(\int \genfrac {}{}{}{}{\sec ^2(c+d x)}{a+c \sec ^2(c+d x)+b \tan ^2(c+d x)} \, dx\) [162]
3.2.63 \(\int \genfrac {}{}{}{}{x \sec ^2(c+d x)}{a+c \sec ^2(c+d x)+b \tan ^2(c+d x)} \, dx\) [163]
3.2.64 \(\int \genfrac {}{}{}{}{x^2 \sec ^2(c+d x)}{a+c \sec ^2(c+d x)+b \tan ^2(c+d x)} \, dx\) [164]
3.2.65 \(\int x^3 \sqrt {a-a \sin (e+f x)} \sqrt {c+c \sin (e+f x)} \, dx\) [165]
3.2.66 \(\int x^2 \sqrt {a-a \sin (e+f x)} \sqrt {c+c \sin (e+f x)} \, dx\) [166]
3.2.67 \(\int x \sqrt {a-a \sin (e+f x)} \sqrt {c+c \sin (e+f x)} \, dx\) [167]
3.2.68 \(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)} \sqrt {c+c \sin (e+f x)}}{x} \, dx\) [168]
3.2.69 \(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)} \sqrt {c+c \sin (e+f x)}}{x^2} \, dx\) [169]
3.2.70 \(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)} \sqrt {c+c \sin (e+f x)}}{x^3} \, dx\) [170]
3.2.71 \(\int x^3 \sqrt {a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2} \, dx\) [171]
3.2.72 \(\int x^2 \sqrt {a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2} \, dx\) [172]
3.2.73 \(\int x \sqrt {a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2} \, dx\) [173]
3.2.74 \(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2}}{x} \, dx\) [174]
3.2.75 \(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2}}{x^2} \, dx\) [175]
3.2.76 \(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)} (c+c \sin (e+f x))^{3/2}}{x^3} \, dx\) [176]
3.2.77 \(\int \genfrac {}{}{}{}{(g+h x)^3 \sqrt {a-a \sin (e+f x)}}{\sqrt {c+c \sin (e+f x)}} \, dx\) [177]
3.2.78 \(\int \genfrac {}{}{}{}{(g+h x)^2 \sqrt {a-a \sin (e+f x)}}{\sqrt {c+c \sin (e+f x)}} \, dx\) [178]
3.2.79 \(\int \genfrac {}{}{}{}{(g+h x) \sqrt {a-a \sin (e+f x)}}{\sqrt {c+c \sin (e+f x)}} \, dx\) [179]
3.2.80 \(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)}}{(g+h x) \sqrt {c+c \sin (e+f x)}} \, dx\) [180]
3.2.81 \(\int \genfrac {}{}{}{}{x^3 \sqrt {a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\) [181]
3.2.82 \(\int \genfrac {}{}{}{}{x^2 \sqrt {a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\) [182]
3.2.83 \(\int \genfrac {}{}{}{}{x \sqrt {a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\) [183]
3.2.84 \(\int \genfrac {}{}{}{}{z^2 \sqrt {1+\cos (z)}}{\sqrt {1-\cos (z)}} \, dz\) [184]
3.2.85 \(\int (a+a \cos (x)) (A+B \sec (x)) \, dx\) [185]
3.2.86 \(\int (a+a \cos (x))^2 (A+B \sec (x)) \, dx\) [186]
3.2.87 \(\int (a+a \cos (x))^3 (A+B \sec (x)) \, dx\) [187]
3.2.88 \(\int (a+a \cos (x))^4 (A+B \sec (x)) \, dx\) [188]
3.2.89 \(\int \genfrac {}{}{}{}{A+B \sec (x)}{a+a \cos (x)} \, dx\) [189]
3.2.90 \(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^2} \, dx\) [190]
3.2.91 \(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^3} \, dx\) [191]
3.2.92 \(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^4} \, dx\) [192]
3.2.93 \(\int (a+a \cos (x))^{5/2} (A+B \sec (x)) \, dx\) [193]
3.2.94 \(\int (a+a \cos (x))^{3/2} (A+B \sec (x)) \, dx\) [194]
3.2.95 \(\int \sqrt {a+a \cos (x)} (A+B \sec (x)) \, dx\) [195]
3.2.96 \(\int \genfrac {}{}{}{}{A+B \sec (x)}{\sqrt {a+a \cos (x)}} \, dx\) [196]
3.2.97 \(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^{3/2}} \, dx\) [197]
3.2.98 \(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^{5/2}} \, dx\) [198]
3.2.99 \(\int \genfrac {}{}{}{}{x (b+a \sin (x))}{(a+b \sin (x))^2} \, dx\) [199]
3.2.100 \(\int \genfrac {}{}{}{}{x (b+a \cos (x))}{(a+b \cos (x))^2} \, dx\) [200]