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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]
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