Chapter 3
Listing of integrals

 3.1 \(\int \frac{(a+b x)^2 (A+B x)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.2 \(\int \frac{(a+b x) (A+B x)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.3 \(\int \frac{A+B x}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.4 \(\int \frac{A+B x}{(a+b x) \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.5 \(\int \frac{A+B x}{(a+b x)^2 \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.6 \(\int \frac{(a+b x)^{3/2} (A+B x)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.7 \(\int \frac{\sqrt{a+b x} (A+B x)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.8 \(\int \frac{A+B x}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.9 \(\int \frac{A+B x}{(a+b x)^{3/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.10 \(\int \frac{A+B x}{(a+b x)^{5/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.11 \(\int \frac{(a+b x)^{3/2} (d e+c f+2 d f x)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.12 \(\int \frac{\sqrt{a+b x} (d e+c f+2 d f x)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.13 \(\int \frac{d e+c f+2 d f x}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.14 \(\int \frac{d e+c f+2 d f x}{(a+b x)^{3/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.15 \(\int \frac{d e+c f+2 d f x}{(a+b x)^{5/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.16 \(\int \frac{(a+b x) (a b B-a^2 C+b^2 B x+b^2 C x^2)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.17 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.18 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x) \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.19 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^2 \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.20 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^3 \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.21 \(\int \frac{\sqrt{a+b x} (a b B-a^2 C+b^2 B x+b^2 C x^2)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.22 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.23 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^{3/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.24 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^{5/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.25 \(\int \frac{a b B-a^2 C+b^2 B x+b^2 C x^2}{(a+b x)^{7/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.26 \(\int \frac{(a+b x)^2 (A+C x^2)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.27 \(\int \frac{(a+b x) (A+C x^2)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.28 \(\int \frac{A+C x^2}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.29 \(\int \frac{A+C x^2}{(a+b x) \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.30 \(\int \frac{A+C x^2}{(a+b x)^2 \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.31 \(\int \frac{(a+b x)^{3/2} (A+C x^2)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.32 \(\int \frac{\sqrt{a+b x} (A+C x^2)}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.33 \(\int \frac{A+C x^2}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.34 \(\int \frac{A+C x^2}{(a+b x)^{3/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.35 \(\int \frac{A+C x^2}{(a+b x)^{5/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)