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Chapter 3
Listing of integrals
3.1
\(\int (a+a \sin (c+d x))^{7/2} \, dx\)
3.2
\(\int (a+a \sin (c+d x))^{5/2} \, dx\)
3.3
\(\int (a+a \sin (c+d x))^{3/2} \, dx\)
3.4
\(\int \sqrt{a+a \sin (c+d x)} \, dx\)
3.5
\(\int \frac{1}{\sqrt{a+a \sin (c+d x)}} \, dx\)
3.6
\(\int \frac{1}{(a+a \sin (c+d x))^{3/2}} \, dx\)
3.7
\(\int \frac{1}{(a+a \sin (c+d x))^{5/2}} \, dx\)
3.8
\(\int (a+a \sin (c+d x))^{4/3} \, dx\)
3.9
\(\int (a+a \sin (c+d x))^{2/3} \, dx\)
3.10
\(\int \sqrt [3]{a+a \sin (c+d x)} \, dx\)
3.11
\(\int \frac{1}{\sqrt [3]{a+a \sin (c+d x)}} \, dx\)
3.12
\(\int \frac{1}{(a+a \sin (c+d x))^{2/3}} \, dx\)
3.13
\(\int \frac{1}{(a+a \sin (c+d x))^{4/3}} \, dx\)
3.14
\(\int (a+a \sin (c+d x))^n \, dx\)
3.15
\(\int (a-a \sin (c+d x))^n \, dx\)
3.16
\(\int (2+2 \sin (c+d x))^n \, dx\)
3.17
\(\int (2-2 \sin (c+d x))^n \, dx\)
3.18
\(\int \frac{1}{5+3 \sin (c+d x)} \, dx\)
3.19
\(\int \frac{1}{(5+3 \sin (c+d x))^2} \, dx\)
3.20
\(\int \frac{1}{(5+3 \sin (c+d x))^3} \, dx\)
3.21
\(\int \frac{1}{(5+3 \sin (c+d x))^4} \, dx\)
3.22
\(\int \frac{1}{5-3 \sin (c+d x)} \, dx\)
3.23
\(\int \frac{1}{(5-3 \sin (c+d x))^2} \, dx\)
3.24
\(\int \frac{1}{(5-3 \sin (c+d x))^3} \, dx\)
3.25
\(\int \frac{1}{(5-3 \sin (c+d x))^4} \, dx\)
3.26
\(\int \frac{1}{-5+3 \sin (c+d x)} \, dx\)
3.27
\(\int \frac{1}{(-5+3 \sin (c+d x))^2} \, dx\)
3.28
\(\int \frac{1}{(-5+3 \sin (c+d x))^3} \, dx\)
3.29
\(\int \frac{1}{(-5+3 \sin (c+d x))^4} \, dx\)
3.30
\(\int \frac{1}{-5-3 \sin (c+d x)} \, dx\)
3.31
\(\int \frac{1}{(-5-3 \sin (c+d x))^2} \, dx\)
3.32
\(\int \frac{1}{(-5-3 \sin (c+d x))^3} \, dx\)
3.33
\(\int \frac{1}{(-5-3 \sin (c+d x))^4} \, dx\)
3.34
\(\int \frac{1}{3+5 \sin (c+d x)} \, dx\)
3.35
\(\int \frac{1}{(3+5 \sin (c+d x))^2} \, dx\)
3.36
\(\int \frac{1}{(3+5 \sin (c+d x))^3} \, dx\)
3.37
\(\int \frac{1}{(3+5 \sin (c+d x))^4} \, dx\)
3.38
\(\int \frac{1}{3-5 \sin (c+d x)} \, dx\)
3.39
\(\int \frac{1}{(3-5 \sin (c+d x))^2} \, dx\)
3.40
\(\int \frac{1}{(3-5 \sin (c+d x))^3} \, dx\)
3.41
\(\int \frac{1}{(3-5 \sin (c+d x))^4} \, dx\)
3.42
\(\int \frac{1}{-3+5 \sin (c+d x)} \, dx\)
3.43
\(\int \frac{1}{(-3+5 \sin (c+d x))^2} \, dx\)
3.44
\(\int \frac{1}{(-3+5 \sin (c+d x))^3} \, dx\)
3.45
\(\int \frac{1}{(-3+5 \sin (c+d x))^4} \, dx\)
3.46
\(\int \frac{1}{-3-5 \sin (c+d x)} \, dx\)
3.47
\(\int \frac{1}{(-3-5 \sin (c+d x))^2} \, dx\)
3.48
\(\int \frac{1}{(-3-5 \sin (c+d x))^3} \, dx\)
3.49
\(\int \frac{1}{(-3-5 \sin (c+d x))^4} \, dx\)
3.50
\(\int (a+b \sin (c+d x))^{7/2} \, dx\)
3.51
\(\int (a+b \sin (c+d x))^{5/2} \, dx\)
3.52
\(\int (a+b \sin (c+d x))^{3/2} \, dx\)
3.53
\(\int \sqrt{a+b \sin (c+d x)} \, dx\)
3.54
\(\int \frac{1}{\sqrt{a+b \sin (c+d x)}} \, dx\)
3.55
\(\int \frac{1}{(a+b \sin (c+d x))^{3/2}} \, dx\)
3.56
\(\int \frac{1}{(a+b \sin (c+d x))^{5/2}} \, dx\)
3.57
\(\int \frac{1}{(a+b \sin (c+d x))^{7/2}} \, dx\)
3.58
\(\int (a+b \sin (c+d x))^{4/3} \, dx\)
3.59
\(\int (a+b \sin (c+d x))^{2/3} \, dx\)
3.60
\(\int \sqrt [3]{a+b \sin (c+d x)} \, dx\)
3.61
\(\int \frac{1}{\sqrt [3]{a+b \sin (c+d x)}} \, dx\)
3.62
\(\int \frac{1}{(a+b \sin (c+d x))^{2/3}} \, dx\)
3.63
\(\int \frac{1}{(a+b \sin (c+d x))^{4/3}} \, dx\)
3.64
\(\int (a+b \sin (c+d x))^n \, dx\)
3.65
\(\int (3+4 \sin (c+d x))^n \, dx\)
3.66
\(\int (3-4 \sin (c+d x))^n \, dx\)
3.67
\(\int (4+3 \sin (c+d x))^n \, dx\)
3.68
\(\int (4-3 \sin (c+d x))^n \, dx\)
3.69
\(\int (-3+4 \sin (c+d x))^n \, dx\)
3.70
\(\int (-3-4 \sin (c+d x))^n \, dx\)
3.71
\(\int (-4+3 \sin (c+d x))^n \, dx\)
3.72
\(\int (-4-3 \sin (c+d x))^n \, dx\)
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