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Chapter 3
Listing of integrals
3.1
\(\int F^{c (a+b x)} (d+e x)^m \, dx\)
3.2
\(\int F^{c (a+b x)} (d+e x)^4 \, dx\)
3.3
\(\int F^{c (a+b x)} (d+e x)^3 \, dx\)
3.4
\(\int F^{c (a+b x)} (d+e x)^2 \, dx\)
3.5
\(\int F^{c (a+b x)} (d+e x) \, dx\)
3.6
\(\int F^{c (a+b x)} \, dx\)
3.7
\(\int \frac{F^{c (a+b x)}}{d+e x} \, dx\)
3.8
\(\int \frac{F^{c (a+b x)}}{(d+e x)^2} \, dx\)
3.9
\(\int \frac{F^{c (a+b x)}}{(d+e x)^3} \, dx\)
3.10
\(\int \frac{F^{c (a+b x)}}{(d+e x)^4} \, dx\)
3.11
\(\int \frac{F^{c (a+b x)}}{(d+e x)^5} \, dx\)
3.12
\(\int F^{c (a+b x)} (d^4+4 d^3 e x+6 d^2 e^2 x^2+4 d e^3 x^3+e^4 x^4) \, dx\)
3.13
\(\int F^{c (a+b x)} (d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3) \, dx\)
3.14
\(\int F^{c (a+b x)} (d^2+2 d e x+e^2 x^2) \, dx\)
3.15
\(\int \frac{F^{c (a+b x)}}{d^2+2 d e x+e^2 x^2} \, dx\)
3.16
\(\int \frac{F^{c (a+b x)}}{d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3} \, dx\)
3.17
\(\int \frac{F^{c (a+b x)}}{d^4+4 d^3 e x+6 d^2 e^2 x^2+4 d e^3 x^3+e^4 x^4} \, dx\)
3.18
\(\int \frac{F^{c (a+b x)}}{d^5+5 d^4 e x+10 d^3 e^2 x^2+10 d^2 e^3 x^3+5 d e^4 x^4+e^5 x^5} \, dx\)
3.19
\(\int F^{c (a+b x)} ((d+e x)^n)^m \, dx\)
3.20
\(\int F^{c (a+b x)} (d^4+4 d^3 e x+6 d^2 e^2 x^2+4 d e^3 x^3+e^4 x^4)^m \, dx\)
3.21
\(\int F^{c (a+b x)} (d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3)^m \, dx\)
3.22
\(\int F^{c (a+b x)} (d^2+2 d e x+e^2 x^2)^m \, dx\)
3.23
\(\int F^{c (a+b x)} (d+e x)^m \, dx\)
3.24
\(\int F^{c (a+b x)} (d+e x)^{-m} \, dx\)
3.25
\(\int F^{c (a+b x)} (d^2+2 d e x+e^2 x^2)^{-m} \, dx\)
3.26
\(\int F^{c (a+b x)} (d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3)^{-m} \, dx\)
3.27
\(\int F^{2+5 x} \, dx\)
3.28
\(\int F^{a+b x} \, dx\)
3.29
\(\int 10^{2+5 x} \, dx\)
3.30
\(\int F^{a+b x} x^{7/2} \, dx\)
3.31
\(\int F^{a+b x} x^{5/2} \, dx\)
3.32
\(\int F^{a+b x} x^{3/2} \, dx\)
3.33
\(\int F^{a+b x} \sqrt{x} \, dx\)
3.34
\(\int \frac{F^{a+b x}}{\sqrt{x}} \, dx\)
3.35
\(\int \frac{F^{a+b x}}{x^{3/2}} \, dx\)
3.36
\(\int \frac{F^{a+b x}}{x^{5/2}} \, dx\)
3.37
\(\int \frac{F^{a+b x}}{x^{7/2}} \, dx\)
3.38
\(\int \frac{F^{a+b x}}{x^{9/2}} \, dx\)
3.39
\(\int F^{c (a+b x)} (d+e x)^{7/2} \, dx\)
3.40
\(\int F^{c (a+b x)} (d+e x)^{5/2} \, dx\)
3.41
\(\int F^{c (a+b x)} (d+e x)^{3/2} \, dx\)
3.42
\(\int F^{c (a+b x)} \sqrt{d+e x} \, dx\)
3.43
\(\int \frac{F^{c (a+b x)}}{\sqrt{d+e x}} \, dx\)
3.44
\(\int \frac{F^{c (a+b x)}}{(d+e x)^{3/2}} \, dx\)
3.45
\(\int \frac{F^{c (a+b x)}}{(d+e x)^{5/2}} \, dx\)
3.46
\(\int \frac{F^{c (a+b x)}}{(d+e x)^{7/2}} \, dx\)
3.47
\(\int \frac{F^{c (a+b x)}}{(d+e x)^{9/2}} \, dx\)
3.48
\(\int e^{-b x} x^{13/2} \, dx\)
3.49
\(\int F^{c (a+b x)} (d+e x)^{4/3} \, dx\)
3.50
\(\int (F^{c (a+b x)})^n (d+e x)^{4/3} \, dx\)
3.51
\(\int F^{c (a+b x)} (d+e x) \, dx\)
3.52
\(\int F^{c (a+b x)} (d+e x+f x^2) \, dx\)
3.53
\(\int F^{c (a+b x)} (d+e x+f x^2+g x^3) \, dx\)
3.54
\(\int F^{c (a+b x)} (d+e x+f x^2+g x^3+h x^4) \, dx\)
3.55
\(\int e^{-a-b x} x^m (a+b x)^3 \, dx\)
3.56
\(\int e^{-a-b x} x^3 (a+b x)^3 \, dx\)
3.57
\(\int e^{-a-b x} x^2 (a+b x)^3 \, dx\)
3.58
\(\int e^{-a-b x} x (a+b x)^3 \, dx\)
3.59
\(\int e^{-a-b x} (a+b x)^3 \, dx\)
3.60
\(\int \frac{e^{-a-b x} (a+b x)^3}{x} \, dx\)
3.61
\(\int \frac{e^{-a-b x} (a+b x)^3}{x^2} \, dx\)
3.62
\(\int \frac{e^{-a-b x} (a+b x)^3}{x^3} \, dx\)
3.63
\(\int \frac{e^{-a-b x} (a+b x)^3}{x^4} \, dx\)
3.64
\(\int F^{a+b (c+d x)} x^m (e+f x)^2 \, dx\)
3.65
\(\int F^{a+b (c+d x)} x^3 (e+f x)^2 \, dx\)
3.66
\(\int F^{a+b (c+d x)} x^2 (e+f x)^2 \, dx\)
3.67
\(\int F^{a+b (c+d x)} x (e+f x)^2 \, dx\)
3.68
\(\int F^{a+b (c+d x)} (e+f x)^2 \, dx\)
3.69
\(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x} \, dx\)
3.70
\(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^2} \, dx\)
3.71
\(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^3} \, dx\)
3.72
\(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^4} \, dx\)
3.73
\(\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^5} \, dx\)
3.74
\(\int e^{-a-b x} (a+b x)^4 (c+d x)^3 \, dx\)
3.75
\(\int e^{-a-b x} (a+b x)^4 (c+d x)^2 \, dx\)
3.76
\(\int e^{-a-b x} (a+b x)^4 (c+d x) \, dx\)
3.77
\(\int e^{-a-b x} (a+b x)^4 \, dx\)
3.78
\(\int \frac{e^{-a-b x} (a+b x)^4}{c+d x} \, dx\)
3.79
\(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^2} \, dx\)
3.80
\(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^3} \, dx\)
3.81
\(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^4} \, dx\)
3.82
\(\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^5} \, dx\)
3.83
\(\int F^{c (a+b x)} x^m \log ^n(d x) (e+e n+e (1+m+b c x \log (F)) \log (d x)) \, dx\)
3.84
\(\int F^{c (a+b x)} x^2 \log ^n(d x) (e+e n+e (3+b c x \log (F)) \log (d x)) \, dx\)
3.85
\(\int F^{c (a+b x)} x \log ^n(d x) (e+e n+e (2+b c x \log (F)) \log (d x)) \, dx\)
3.86
\(\int F^{c (a+b x)} \log ^n(d x) (e+e n+e (1+b c x \log (F)) \log (d x)) \, dx\)
3.87
\(\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+b c e x \log (F) \log (d x))}{x} \, dx\)
3.88
\(\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+e (-1+b c x \log (F)) \log (d x))}{x^2} \, dx\)
3.89
\(\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+e (-2+b c x \log (F)) \log (d x))}{x^3} \, dx\)
3.90
\(\int \sqrt{e^{a+b x}} x^4 \, dx\)
3.91
\(\int \sqrt{e^{a+b x}} x^3 \, dx\)
3.92
\(\int \sqrt{e^{a+b x}} x^2 \, dx\)
3.93
\(\int \sqrt{e^{a+b x}} x \, dx\)
3.94
\(\int \sqrt{e^{a+b x}} \, dx\)
3.95
\(\int \frac{\sqrt{e^{a+b x}}}{x} \, dx\)
3.96
\(\int \frac{\sqrt{e^{a+b x}}}{x^2} \, dx\)
3.97
\(\int \frac{\sqrt{e^{a+b x}}}{x^3} \, dx\)
3.98
\(\int \frac{\sqrt{e^{a+b x}}}{x^4} \, dx\)
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