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Chapter 3
Listing of integrals
3.1
\(\int \frac{x^3 (a+b \cos ^{-1}(c x))}{d-c^2 d x^2} \, dx\)
3.2
\(\int \frac{x^2 (a+b \cos ^{-1}(c x))}{d-c^2 d x^2} \, dx\)
3.3
\(\int \frac{x (a+b \cos ^{-1}(c x))}{d-c^2 d x^2} \, dx\)
3.4
\(\int \frac{a+b \cos ^{-1}(c x)}{d-c^2 d x^2} \, dx\)
3.5
\(\int \frac{a+b \cos ^{-1}(c x)}{x (d-c^2 d x^2)} \, dx\)
3.6
\(\int \frac{a+b \cos ^{-1}(c x)}{x^2 (d-c^2 d x^2)} \, dx\)
3.7
\(\int \frac{a+b \cos ^{-1}(c x)}{x^3 (d-c^2 d x^2)} \, dx\)
3.8
\(\int \frac{x^4 (a+b \cos ^{-1}(c x))}{(d-c^2 d x^2)^2} \, dx\)
3.9
\(\int \frac{x^3 (a+b \cos ^{-1}(c x))}{(d-c^2 d x^2)^2} \, dx\)
3.10
\(\int \frac{x^2 (a+b \cos ^{-1}(c x))}{(d-c^2 d x^2)^2} \, dx\)
3.11
\(\int \frac{x (a+b \cos ^{-1}(c x))}{(d-c^2 d x^2)^2} \, dx\)
3.12
\(\int \frac{a+b \cos ^{-1}(c x)}{(d-c^2 d x^2)^2} \, dx\)
3.13
\(\int \frac{a+b \cos ^{-1}(c x)}{x (d-c^2 d x^2)^2} \, dx\)
3.14
\(\int \frac{a+b \cos ^{-1}(c x)}{x^2 (d-c^2 d x^2)^2} \, dx\)
3.15
\(\int \frac{a+b \cos ^{-1}(c x)}{x^3 (d-c^2 d x^2)^2} \, dx\)
3.16
\(\int x^3 (d+e x^2) (a+b \cos ^{-1}(c x)) \, dx\)
3.17
\(\int x^2 (d+e x^2) (a+b \cos ^{-1}(c x)) \, dx\)
3.18
\(\int x (d+e x^2) (a+b \cos ^{-1}(c x)) \, dx\)
3.19
\(\int (d+e x^2) (a+b \cos ^{-1}(c x)) \, dx\)
3.20
\(\int \frac{(d+e x^2) (a+b \cos ^{-1}(c x))}{x} \, dx\)
3.21
\(\int \frac{(d+e x^2) (a+b \cos ^{-1}(c x))}{x^2} \, dx\)
3.22
\(\int \frac{(d+e x^2) (a+b \cos ^{-1}(c x))}{x^3} \, dx\)
3.23
\(\int \frac{(d+e x^2) (a+b \cos ^{-1}(c x))}{x^4} \, dx\)
3.24
\(\int (c+d x^2)^2 \cos ^{-1}(a x) \, dx\)
3.25
\(\int (c+d x^2)^3 \cos ^{-1}(a x) \, dx\)
3.26
\(\int (c+d x^2)^4 \cos ^{-1}(a x) \, dx\)
3.27
\(\int \frac{\cos ^{-1}(a x)}{c+d x^2} \, dx\)
3.28
\(\int \frac{\cos ^{-1}(a x)}{(c+d x^2)^2} \, dx\)
3.29
\(\int \sqrt{c+d x^2} \cos ^{-1}(a x) \, dx\)
3.30
\(\int \frac{\cos ^{-1}(a x)}{\sqrt{c+d x^2}} \, dx\)
3.31
\(\int \frac{\cos ^{-1}(a x)}{(c+d x^2)^{3/2}} \, dx\)
3.32
\(\int \frac{\cos ^{-1}(a x)}{(c+d x^2)^{5/2}} \, dx\)
3.33
\(\int \frac{\cos ^{-1}(a x)}{(c+d x^2)^{7/2}} \, dx\)
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