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Chapter 3
Listing of integrals
3.1
\(\int \cot (a+b x) \, dx\)
3.2
\(\int \cot ^2(a+b x) \, dx\)
3.3
\(\int \cot ^3(a+b x) \, dx\)
3.4
\(\int \cot ^4(a+b x) \, dx\)
3.5
\(\int \cot ^5(a+b x) \, dx\)
3.6
\(\int \cot ^6(a+b x) \, dx\)
3.7
\(\int \cot ^7(a+b x) \, dx\)
3.8
\(\int \cot ^8(a+b x) \, dx\)
3.9
\(\int (c \cot (a+b x))^{7/2} \, dx\)
3.10
\(\int (c \cot (a+b x))^{5/2} \, dx\)
3.11
\(\int (c \cot (a+b x))^{3/2} \, dx\)
3.12
\(\int \sqrt{c \cot (a+b x)} \, dx\)
3.13
\(\int \frac{1}{\sqrt{c \cot (a+b x)}} \, dx\)
3.14
\(\int \frac{1}{(c \cot (a+b x))^{3/2}} \, dx\)
3.15
\(\int \frac{1}{(c \cot (a+b x))^{5/2}} \, dx\)
3.16
\(\int \frac{1}{(c \cot (a+b x))^{7/2}} \, dx\)
3.17
\(\int (c \cot (a+b x))^{4/3} \, dx\)
3.18
\(\int (c \cot (a+b x))^{2/3} \, dx\)
3.19
\(\int \sqrt [3]{c \cot (a+b x)} \, dx\)
3.20
\(\int \frac{1}{\sqrt [3]{c \cot (a+b x)}} \, dx\)
3.21
\(\int \frac{1}{(c \cot (a+b x))^{2/3}} \, dx\)
3.22
\(\int \frac{1}{(c \cot (a+b x))^{4/3}} \, dx\)
3.23
\(\int \cot ^n(a+b x) \, dx\)
3.24
\(\int (b \cot (c+d x))^n \, dx\)
3.25
\(\int (a \cot ^2(x))^{3/2} \, dx\)
3.26
\(\int \sqrt{a \cot ^2(x)} \, dx\)
3.27
\(\int \frac{1}{\sqrt{a \cot ^2(x)}} \, dx\)
3.28
\(\int \frac{1}{(a \cot ^2(x))^{3/2}} \, dx\)
3.29
\(\int (a \cot ^3(x))^{3/2} \, dx\)
3.30
\(\int \sqrt{a \cot ^3(x)} \, dx\)
3.31
\(\int \frac{1}{\sqrt{a \cot ^3(x)}} \, dx\)
3.32
\(\int \frac{1}{(a \cot ^3(x))^{3/2}} \, dx\)
3.33
\(\int (a \cot ^4(x))^{3/2} \, dx\)
3.34
\(\int \sqrt{a \cot ^4(x)} \, dx\)
3.35
\(\int \frac{1}{\sqrt{a \cot ^4(x)}} \, dx\)
3.36
\(\int \frac{1}{(a \cot ^4(x))^{3/2}} \, dx\)
3.37
\(\int (b \cot ^p(c+d x))^n \, dx\)
3.38
\(\int (a (b \cot (c+d x))^p)^n \, dx\)
3.39
\(\int (b \cot (e+f x))^n (a \sin (e+f x))^m \, dx\)
3.40
\(\int (a \cos (e+f x))^m (b \cot (e+f x))^n \, dx\)
3.41
\(\int (a \cot (e+f x))^m (b \cot (e+f x))^n \, dx\)
3.42
\(\int (b \cot (e+f x))^n (a \sec (e+f x))^m \, dx\)
3.43
\(\int (d \cot (e+f x))^n \csc ^6(e+f x) \, dx\)
3.44
\(\int (d \cot (e+f x))^n \csc ^4(e+f x) \, dx\)
3.45
\(\int (d \cot (e+f x))^n \csc ^2(e+f x) \, dx\)
3.46
\(\int (d \cot (e+f x))^n \sin ^2(e+f x) \, dx\)
3.47
\(\int (d \cot (e+f x))^n \sin ^4(e+f x) \, dx\)
3.48
\(\int (d \cot (e+f x))^n \csc ^3(e+f x) \, dx\)
3.49
\(\int (d \cot (e+f x))^n \csc (e+f x) \, dx\)
3.50
\(\int (d \cot (e+f x))^n \sin (e+f x) \, dx\)
3.51
\(\int (d \cot (e+f x))^n \sin ^3(e+f x) \, dx\)
3.52
\(\int (b \cot (e+f x))^n (a \csc (e+f x))^m \, dx\)
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