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Chapter 3
Listing of integrals
3.1
\(\int x^3 (a+b x) \sin (c+d x) \, dx\)
3.2
\(\int x^2 (a+b x) \sin (c+d x) \, dx\)
3.3
\(\int x (a+b x) \sin (c+d x) \, dx\)
3.4
\(\int (a+b x) \sin (c+d x) \, dx\)
3.5
\(\int \frac{(a+b x) \sin (c+d x)}{x} \, dx\)
3.6
\(\int \frac{(a+b x) \sin (c+d x)}{x^2} \, dx\)
3.7
\(\int \frac{(a+b x) \sin (c+d x)}{x^3} \, dx\)
3.8
\(\int \frac{(a+b x) \sin (c+d x)}{x^4} \, dx\)
3.9
\(\int \frac{(a+b x) \sin (c+d x)}{x^5} \, dx\)
3.10
\(\int x^2 (a+b x)^2 \sin (c+d x) \, dx\)
3.11
\(\int x (a+b x)^2 \sin (c+d x) \, dx\)
3.12
\(\int (a+b x)^2 \sin (c+d x) \, dx\)
3.13
\(\int \frac{(a+b x)^2 \sin (c+d x)}{x} \, dx\)
3.14
\(\int \frac{(a+b x)^2 \sin (c+d x)}{x^2} \, dx\)
3.15
\(\int \frac{(a+b x)^2 \sin (c+d x)}{x^3} \, dx\)
3.16
\(\int \frac{(a+b x)^2 \sin (c+d x)}{x^4} \, dx\)
3.17
\(\int \frac{(a+b x)^2 \sin (c+d x)}{x^5} \, dx\)
3.18
\(\int \frac{x^4 \sin (c+d x)}{a+b x} \, dx\)
3.19
\(\int \frac{x^3 \sin (c+d x)}{a+b x} \, dx\)
3.20
\(\int \frac{x^2 \sin (c+d x)}{a+b x} \, dx\)
3.21
\(\int \frac{x \sin (c+d x)}{a+b x} \, dx\)
3.22
\(\int \frac{\sin (c+d x)}{a+b x} \, dx\)
3.23
\(\int \frac{\sin (c+d x)}{x (a+b x)} \, dx\)
3.24
\(\int \frac{\sin (c+d x)}{x^2 (a+b x)} \, dx\)
3.25
\(\int \frac{\sin (c+d x)}{x^3 (a+b x)} \, dx\)
3.26
\(\int \frac{x^4 \sin (c+d x)}{(a+b x)^2} \, dx\)
3.27
\(\int \frac{x^3 \sin (c+d x)}{(a+b x)^2} \, dx\)
3.28
\(\int \frac{x^2 \sin (c+d x)}{(a+b x)^2} \, dx\)
3.29
\(\int \frac{x \sin (c+d x)}{(a+b x)^2} \, dx\)
3.30
\(\int \frac{\sin (c+d x)}{(a+b x)^2} \, dx\)
3.31
\(\int \frac{\sin (c+d x)}{x (a+b x)^2} \, dx\)
3.32
\(\int \frac{\sin (c+d x)}{x^2 (a+b x)^2} \, dx\)
3.33
\(\int \frac{x^3 \sin (c+d x)}{(a+b x)^3} \, dx\)
3.34
\(\int \frac{x^2 \sin (c+d x)}{(a+b x)^3} \, dx\)
3.35
\(\int \frac{x \sin (c+d x)}{(a+b x)^3} \, dx\)
3.36
\(\int \frac{\sin (c+d x)}{(a+b x)^3} \, dx\)
3.37
\(\int \frac{\sin (c+d x)}{x (a+b x)^3} \, dx\)
3.38
\(\int \frac{\sin (c+d x)}{x^2 (a+b x)^3} \, dx\)
3.39
\(\int \frac{\sin (c+d x)}{x^3 (a+b x)^3} \, dx\)
3.40
\(\int x^3 (a+b x^2) \sin (c+d x) \, dx\)
3.41
\(\int x^2 (a+b x^2) \sin (c+d x) \, dx\)
3.42
\(\int x (a+b x^2) \sin (c+d x) \, dx\)
3.43
\(\int (a+b x^2) \sin (c+d x) \, dx\)
3.44
\(\int \frac{(a+b x^2) \sin (c+d x)}{x} \, dx\)
3.45
\(\int \frac{(a+b x^2) \sin (c+d x)}{x^2} \, dx\)
3.46
\(\int \frac{(a+b x^2) \sin (c+d x)}{x^3} \, dx\)
3.47
\(\int \frac{(a+b x^2) \sin (c+d x)}{x^4} \, dx\)
3.48
\(\int \frac{(a+b x^2) \sin (c+d x)}{x^5} \, dx\)
3.49
\(\int x^2 (a+b x^2)^2 \sin (c+d x) \, dx\)
3.50
\(\int x (a+b x^2)^2 \sin (c+d x) \, dx\)
3.51
\(\int (a+b x^2)^2 \sin (c+d x) \, dx\)
3.52
\(\int \frac{(a+b x^2)^2 \sin (c+d x)}{x} \, dx\)
3.53
\(\int \frac{(a+b x^2)^2 \sin (c+d x)}{x^2} \, dx\)
3.54
\(\int \frac{(a+b x^2)^2 \sin (c+d x)}{x^3} \, dx\)
3.55
\(\int \frac{(a+b x^2)^2 \sin (c+d x)}{x^4} \, dx\)
3.56
\(\int \frac{(a+b x^2)^2 \sin (c+d x)}{x^5} \, dx\)
3.57
\(\int \frac{x^4 \sin (c+d x)}{a+b x^2} \, dx\)
3.58
\(\int \frac{x^3 \sin (c+d x)}{a+b x^2} \, dx\)
3.59
\(\int \frac{x^2 \sin (c+d x)}{a+b x^2} \, dx\)
3.60
\(\int \frac{x \sin (c+d x)}{a+b x^2} \, dx\)
3.61
\(\int \frac{\sin (c+d x)}{a+b x^2} \, dx\)
3.62
\(\int \frac{\sin (c+d x)}{x (a+b x^2)} \, dx\)
3.63
\(\int \frac{\sin (c+d x)}{x^2 (a+b x^2)} \, dx\)
3.64
\(\int \frac{\sin (c+d x)}{x^3 (a+b x^2)} \, dx\)
3.65
\(\int \frac{x^4 \sin (c+d x)}{(a+b x^2)^2} \, dx\)
3.66
\(\int \frac{x^3 \sin (c+d x)}{(a+b x^2)^2} \, dx\)
3.67
\(\int \frac{x^2 \sin (c+d x)}{(a+b x^2)^2} \, dx\)
3.68
\(\int \frac{x \sin (c+d x)}{(a+b x^2)^2} \, dx\)
3.69
\(\int \frac{\sin (c+d x)}{(a+b x^2)^2} \, dx\)
3.70
\(\int \frac{\sin (c+d x)}{x (a+b x^2)^2} \, dx\)
3.71
\(\int \frac{\sin (c+d x)}{x^2 (a+b x^2)^2} \, dx\)
3.72
\(\int \frac{x^3 \sin (c+d x)}{(a+b x^2)^3} \, dx\)
3.73
\(\int \frac{x^2 \sin (c+d x)}{(a+b x^2)^3} \, dx\)
3.74
\(\int \frac{x \sin (c+d x)}{(a+b x^2)^3} \, dx\)
3.75
\(\int \frac{\sin (c+d x)}{(a+b x^2)^3} \, dx\)
3.76
\(\int \frac{\sin (c+d x)}{x (a+b x^2)^3} \, dx\)
3.77
\(\int \frac{\sin (c+d x)}{x^2 (a+b x^2)^3} \, dx\)
3.78
\(\int \frac{\sin (c+d x)}{x^3 (a+b x^2)^3} \, dx\)
3.79
\(\int x^3 (a+b x^3) \sin (c+d x) \, dx\)
3.80
\(\int x^2 (a+b x^3) \sin (c+d x) \, dx\)
3.81
\(\int x (a+b x^3) \sin (c+d x) \, dx\)
3.82
\(\int (a+b x^3) \sin (c+d x) \, dx\)
3.83
\(\int \frac{(a+b x^3) \sin (c+d x)}{x} \, dx\)
3.84
\(\int \frac{(a+b x^3) \sin (c+d x)}{x^2} \, dx\)
3.85
\(\int \frac{(a+b x^3) \sin (c+d x)}{x^3} \, dx\)
3.86
\(\int \frac{(a+b x^3) \sin (c+d x)}{x^4} \, dx\)
3.87
\(\int x (a+b x^3)^2 \sin (c+d x) \, dx\)
3.88
\(\int (a+b x^3)^2 \sin (c+d x) \, dx\)
3.89
\(\int \frac{(a+b x^3)^2 \sin (c+d x)}{x} \, dx\)
3.90
\(\int \frac{(a+b x^3)^2 \sin (c+d x)}{x^2} \, dx\)
3.91
\(\int \frac{(a+b x^3)^2 \sin (c+d x)}{x^3} \, dx\)
3.92
\(\int \frac{(a+b x^3)^2 \sin (c+d x)}{x^4} \, dx\)
3.93
\(\int \frac{(a+b x^3)^2 \sin (c+d x)}{x^5} \, dx\)
3.94
\(\int \frac{x^4 \sin (c+d x)}{a+b x^3} \, dx\)
3.95
\(\int \frac{x^3 \sin (c+d x)}{a+b x^3} \, dx\)
3.96
\(\int \frac{x^2 \sin (c+d x)}{a+b x^3} \, dx\)
3.97
\(\int \frac{x \sin (c+d x)}{a+b x^3} \, dx\)
3.98
\(\int \frac{\sin (c+d x)}{a+b x^3} \, dx\)
3.99
\(\int \frac{\sin (c+d x)}{x (a+b x^3)} \, dx\)
3.100
\(\int \frac{\sin (c+d x)}{x^2 (a+b x^3)} \, dx\)
3.101
\(\int \frac{\sin (c+d x)}{x^3 (a+b x^3)} \, dx\)
3.102
\(\int \frac{x^3 \sin (c+d x)}{(a+b x^3)^2} \, dx\)
3.103
\(\int \frac{x^2 \sin (c+d x)}{(a+b x^3)^2} \, dx\)
3.104
\(\int \frac{x \sin (c+d x)}{(a+b x^3)^2} \, dx\)
3.105
\(\int \frac{\sin (c+d x)}{(a+b x^3)^2} \, dx\)
3.106
\(\int \frac{\sin (c+d x)}{x (a+b x^3)^2} \, dx\)
3.107
\(\int \frac{\sin (c+d x)}{x^2 (a+b x^3)^2} \, dx\)
3.108
\(\int \frac{\sin (c+d x)}{x^3 (a+b x^3)^2} \, dx\)
3.109
\(\int \frac{x^3 \sin (c+d x)}{(a+b x^3)^3} \, dx\)
3.110
\(\int \frac{x^2 \sin (c+d x)}{(a+b x^3)^3} \, dx\)
3.111
\(\int \frac{x \sin (c+d x)}{(a+b x^3)^3} \, dx\)
3.112
\(\int \frac{\sin (c+d x)}{(a+b x^3)^3} \, dx\)
3.113
\(\int \frac{\sin (c+d x)}{x (a+b x^3)^3} \, dx\)
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