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