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Chapter 3
Listing of integrals
3.1
\(\int x^3 \cos (a+b x^2) \, dx\)
3.2
\(\int x^2 \cos (a+b x^2) \, dx\)
3.3
\(\int x \cos (a+b x^2) \, dx\)
3.4
\(\int \cos (a+b x^2) \, dx\)
3.5
\(\int \frac{\cos (a+b x^2)}{x} \, dx\)
3.6
\(\int \frac{\cos (a+b x^2)}{x^2} \, dx\)
3.7
\(\int \frac{\cos (a+b x^2)}{x^3} \, dx\)
3.8
\(\int x^3 \cos ^2(a+b x^2) \, dx\)
3.9
\(\int x^2 \cos ^2(a+b x^2) \, dx\)
3.10
\(\int x \cos ^2(a+b x^2) \, dx\)
3.11
\(\int \cos ^2(a+b x^2) \, dx\)
3.12
\(\int \frac{\cos ^2(a+b x^2)}{x} \, dx\)
3.13
\(\int \frac{\cos ^2(a+b x^2)}{x^2} \, dx\)
3.14
\(\int \frac{\cos ^2(a+b x^2)}{x^3} \, dx\)
3.15
\(\int x^3 \cos ^3(a+b x^2) \, dx\)
3.16
\(\int x^2 \cos ^3(a+b x^2) \, dx\)
3.17
\(\int x \cos ^3(a+b x^2) \, dx\)
3.18
\(\int \cos ^3(a+b x^2) \, dx\)
3.19
\(\int \frac{\cos ^3(a+b x^2)}{x} \, dx\)
3.20
\(\int \frac{\cos ^3(a+b x^2)}{x^2} \, dx\)
3.21
\(\int \frac{\cos ^3(a+b x^2)}{x^3} \, dx\)
3.22
\(\int x \cos ^7(a+b x^2) \, dx\)
3.23
\(\int x^{5/2} \cos (a+b x^2) \, dx\)
3.24
\(\int x^{3/2} \cos (a+b x^2) \, dx\)
3.25
\(\int \sqrt{x} \cos (a+b x^2) \, dx\)
3.26
\(\int \frac{\cos (a+b x^2)}{\sqrt{x}} \, dx\)
3.27
\(\int \frac{\cos (a+b x^2)}{x^{3/2}} \, dx\)
3.28
\(\int \frac{\cos (a+b x^2)}{x^{5/2}} \, dx\)
3.29
\(\int x^{5/2} \cos ^2(a+b x^2) \, dx\)
3.30
\(\int x^{3/2} \cos ^2(a+b x^2) \, dx\)
3.31
\(\int \sqrt{x} \cos ^2(a+b x^2) \, dx\)
3.32
\(\int \frac{\cos ^2(a+b x^2)}{\sqrt{x}} \, dx\)
3.33
\(\int \frac{\cos ^2(a+b x^2)}{x^{3/2}} \, dx\)
3.34
\(\int \frac{\cos ^2(a+b x^2)}{x^{5/2}} \, dx\)
3.35
\(\int \cos (a+\frac{b}{x}) \, dx\)
3.36
\(\int \frac{\cos (a+\frac{b}{x})}{x} \, dx\)
3.37
\(\int \frac{\cos (a+\frac{b}{x})}{x^2} \, dx\)
3.38
\(\int \frac{\cos (a+\frac{b}{x})}{x^3} \, dx\)
3.39
\(\int \frac{\cos (a+\frac{b}{x})}{x^4} \, dx\)
3.40
\(\int \cos (a+\frac{b}{x^2}) \, dx\)
3.41
\(\int \frac{\cos (a+\frac{b}{x^2})}{x} \, dx\)
3.42
\(\int \frac{\cos (a+\frac{b}{x^2})}{x^2} \, dx\)
3.43
\(\int \frac{\cos (a+\frac{b}{x^2})}{x^3} \, dx\)
3.44
\(\int \frac{\cos (a+\frac{b}{x^2})}{x^4} \, dx\)
3.45
\(\int \frac{\cos ^2(\sqrt{x})}{\sqrt{x}} \, dx\)
3.46
\(\int \frac{\cos (\sqrt{x})}{\sqrt{x}} \, dx\)
3.47
\(\int \cos (\sqrt{x}) \, dx\)
3.48
\(\int \cos ^2(\sqrt{x}) \, dx\)
3.49
\(\int x^{3/2} \cos (a+b \sqrt [3]{x}) \, dx\)
3.50
\(\int \sqrt{x} \cos (a+b \sqrt [3]{x}) \, dx\)
3.51
\(\int \frac{\cos (a+b \sqrt [3]{x})}{\sqrt{x}} \, dx\)
3.52
\(\int \frac{\cos (a+b \sqrt [3]{x})}{x^{3/2}} \, dx\)
3.53
\(\int \frac{\cos (a+b \sqrt [3]{x})}{x^{5/2}} \, dx\)
3.54
\(\int \frac{\cos (a+b \sqrt [3]{x})}{x^{7/2}} \, dx\)
3.55
\(\int x^{3/2} \cos ^2(a+b \sqrt [3]{x}) \, dx\)
3.56
\(\int \sqrt{x} \cos ^2(a+b \sqrt [3]{x}) \, dx\)
3.57
\(\int \frac{\cos ^2(a+b \sqrt [3]{x})}{\sqrt{x}} \, dx\)
3.58
\(\int \frac{\cos ^2(a+b \sqrt [3]{x})}{x^{3/2}} \, dx\)
3.59
\(\int \frac{\cos ^2(a+b \sqrt [3]{x})}{x^{5/2}} \, dx\)
3.60
\(\int \frac{\cos ^2(a+b \sqrt [3]{x})}{x^{7/2}} \, dx\)
3.61
\(\int \cos ^3(\sqrt [3]{x}) \, dx\)
3.62
\(\int \frac{\cos (\sqrt [6]{x})}{x^{5/6}} \, dx\)
3.63
\(\int (e x)^m (b \cos (c+d x^n))^p \, dx\)
3.64
\(\int (e x)^m (a+b \cos (c+d x^n))^p \, dx\)
3.65
\(\int (e x)^{-1+n} (b \cos (c+d x^n))^p \, dx\)
3.66
\(\int (e x)^{-1+2 n} (b \cos (c+d x^n))^p \, dx\)
3.67
\(\int (e x)^{-1+n} (a+b \cos (c+d x^n))^p \, dx\)
3.68
\(\int (e x)^{-1+2 n} (a+b \cos (c+d x^n))^p \, dx\)
3.69
\(\int \frac{\cos (a+b x^n)}{x} \, dx\)
3.70
\(\int \frac{\cos ^2(a+b x^n)}{x} \, dx\)
3.71
\(\int \frac{\cos ^3(a+b x^n)}{x} \, dx\)
3.72
\(\int \frac{\cos ^4(a+b x^n)}{x} \, dx\)
3.73
\(\int \cos (a+b x^n) \, dx\)
3.74
\(\int \cos ^2(a+b x^n) \, dx\)
3.75
\(\int \cos ^3(a+b x^n) \, dx\)
3.76
\(\int x^m \cos (a+b x^n) \, dx\)
3.77
\(\int x^m \cos ^2(a+b x^n) \, dx\)
3.78
\(\int x^m \cos ^3(a+b x^n) \, dx\)
3.79
\(\int x^{-1-n} \cos (a+b x^n) \, dx\)
3.80
\(\int x^{-1-n} \cos ^2(a+b x^n) \, dx\)
3.81
\(\int x^{-1-n} \cos ^3(a+b x^n) \, dx\)
3.82
\(\int x^{-1-2 n} \cos (a+b x^n) \, dx\)
3.83
\(\int x^{-1-2 n} \cos ^2(a+b x^n) \, dx\)
3.84
\(\int x^{-1-2 n} \cos ^3(a+b x^n) \, dx\)
3.85
\(\int x^2 \cos ((a+b x)^2) \, dx\)
3.86
\(\int x \cos ((a+b x)^2) \, dx\)
3.87
\(\int \cos ((a+b x)^2) \, dx\)
3.88
\(\int \frac{\cos ((a+b x)^2)}{x} \, dx\)
3.89
\(\int \frac{\cos ((a+b x)^2)}{x^2} \, dx\)
3.90
\(\int x^2 \cos (a+b \sqrt{c+d x}) \, dx\)
3.91
\(\int x \cos (a+b \sqrt{c+d x}) \, dx\)
3.92
\(\int \cos (a+b \sqrt{c+d x}) \, dx\)
3.93
\(\int \frac{\cos (a+b \sqrt{c+d x})}{x} \, dx\)
3.94
\(\int \frac{\cos (a+b \sqrt{c+d x})}{x^2} \, dx\)
3.95
\(\int x^2 \cos (a+b \sqrt [3]{c+d x}) \, dx\)
3.96
\(\int x \cos (a+b \sqrt [3]{c+d x}) \, dx\)
3.97
\(\int \cos (a+b \sqrt [3]{c+d x}) \, dx\)
3.98
\(\int \frac{\cos (a+b \sqrt [3]{c+d x})}{x} \, dx\)
3.99
\(\int \frac{\cos (a+b \sqrt [3]{c+d x})}{x^2} \, dx\)
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