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 \(\int \frac{\cos ^{-1}(a x)}{(c+d x^2)^{7/2}} \, dx\)