Chapter 3
Listing of integrals

 3.1 \(\int \frac{(A+B x^2) (d+e x^2)^3}{\sqrt{a+c x^4}} \, dx\)
 3.2 \(\int \frac{(A+B x^2) (d+e x^2)^2}{\sqrt{a+c x^4}} \, dx\)
 3.3 \(\int \frac{(A+B x^2) (d+e x^2)}{\sqrt{a+c x^4}} \, dx\)
 3.4 \(\int \frac{A+B x^2}{\sqrt{a+c x^4}} \, dx\)
 3.5 \(\int \frac{A+B x^2}{(d+e x^2) \sqrt{a+c x^4}} \, dx\)
 3.6 \(\int \frac{A+B x^2}{(d+e x^2)^2 \sqrt{a+c x^4}} \, dx\)
 3.7 \(\int \frac{A+B x^2}{(d+e x^2)^3 \sqrt{a+c x^4}} \, dx\)
 3.8 \(\int \frac{(A+B x^2) (d+e x^2)^3}{(a+c x^4)^{3/2}} \, dx\)
 3.9 \(\int \frac{(A+B x^2) (d+e x^2)^2}{(a+c x^4)^{3/2}} \, dx\)
 3.10 \(\int \frac{(A+B x^2) (d+e x^2)}{(a+c x^4)^{3/2}} \, dx\)
 3.11 \(\int \frac{A+B x^2}{(a+c x^4)^{3/2}} \, dx\)
 3.12 \(\int \frac{A+B x^2}{(d+e x^2) (a+c x^4)^{3/2}} \, dx\)
 3.13 \(\int \frac{A+B x^2}{(d+e x^2)^2 (a+c x^4)^{3/2}} \, dx\)
 3.14 \(\int \frac{A+B x^2}{(d+e x^2)^3 (a+c x^4)^{3/2}} \, dx\)
 3.15 \(\int \frac{(A+B x^2) (d+e x^2)^q}{a+c x^4} \, dx\)
 3.16 \(\int \frac{2+x^2}{(1+x^2) \sqrt{2+3 x^2+x^4}} \, dx\)
 3.17 \(\int \frac{(A+B x^2) (d+e x^2)^3}{\sqrt{a+b x^2+c x^4}} \, dx\)
 3.18 \(\int \frac{(A+B x^2) (d+e x^2)^2}{\sqrt{a+b x^2+c x^4}} \, dx\)
 3.19 \(\int \frac{(A+B x^2) (d+e x^2)}{\sqrt{a+b x^2+c x^4}} \, dx\)
 3.20 \(\int \frac{A+B x^2}{\sqrt{a+b x^2+c x^4}} \, dx\)
 3.21 \(\int \frac{A+B x^2}{(d+e x^2) \sqrt{a+b x^2+c x^4}} \, dx\)
 3.22 \(\int \frac{A+B x^2}{(d+e x^2)^2 \sqrt{a+b x^2+c x^4}} \, dx\)
 3.23 \(\int \frac{A+B x^2}{(d+e x^2)^3 \sqrt{a+b x^2+c x^4}} \, dx\)
 3.24 \(\int \frac{(A+B x^2) (d+e x^2)^3}{(a+b x^2+c x^4)^{3/2}} \, dx\)
 3.25 \(\int \frac{(A+B x^2) (d+e x^2)^2}{(a+b x^2+c x^4)^{3/2}} \, dx\)
 3.26 \(\int \frac{(A+B x^2) (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\)
 3.27 \(\int \frac{A+B x^2}{(a+b x^2+c x^4)^{3/2}} \, dx\)
 3.28 \(\int \frac{A+B x^2}{(d+e x^2) (a+b x^2+c x^4)^{3/2}} \, dx\)
 3.29 \(\int \frac{A+B x^2}{(d+e x^2)^2 (a+b x^2+c x^4)^{3/2}} \, dx\)
 3.30 \(\int \frac{\sqrt{a}+\sqrt{c} x^2}{(d+e x^2) \sqrt{a+b x^2+c x^4}} \, dx\)
 3.31 \(\int \frac{1+\sqrt{\frac{c}{a}} x^2}{(d+e x^2) \sqrt{a+b x^2+c x^4}} \, dx\)
 3.32 \(\int \frac{946+315 x^2}{(7+5 x^2) \sqrt{2+3 x^2+x^4}} \, dx\)
 3.33 \(\int \frac{(A+B x^2) (d+e x^2)^q}{a+b x^2+c x^4} \, dx\)
 3.34 \(\int \frac{x (1+2 x^2)}{\sqrt{1+x^2} (1+x^2+x^4)} \, dx\)
 3.35 \(\int \frac{\sqrt{a+b x^2+c x^4}}{a d-c d x^4} \, dx\)
 3.36 \(\int \frac{\sqrt{a+b x^2-c x^4}}{a d+c d x^4} \, dx\)
 3.37 \(\int x \sqrt{c+e x+d x^2} \sqrt{a^2+2 a b x^2+b^2 x^4} \, dx\)
 3.38 \(\int \sqrt{c+e x+d x^2} \sqrt{a^2+2 a b x^2+b^2 x^4} \, dx\)
 3.39 \(\int \frac{\sqrt{c+e x+d x^2} \sqrt{a^2+2 a b x^2+b^2 x^4}}{x} \, dx\)
 3.40 \(\int \frac{\sqrt{c+e x+d x^2} \sqrt{a^2+2 a b x^2+b^2 x^4}}{x^2} \, dx\)
 3.41 \(\int \frac{\sqrt{c+e x+d x^2} \sqrt{a^2+2 a b x^2+b^2 x^4}}{x^3} \, dx\)
 3.42 \(\int \frac{\sqrt{c+e x+d x^2} \sqrt{a^2+2 a b x^2+b^2 x^4}}{x^4} \, dx\)