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