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