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