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