3.1 Integrals 1 to 10
\(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2)}{(b x+c x^2)^{3/2}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{(c x)^{5/2} (A+B x+C x^2+D x^3)}{\sqrt {a x+b x^2}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{(c x)^{3/2} (A+B x+C x^2+D x^3)}{\sqrt {a x+b x^2}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{\sqrt {c x} (A+B x+C x^2+D x^3)}{\sqrt {a x+b x^2}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c x} \sqrt {a x+b x^2}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c x)^{3/2} \sqrt {a x+b x^2}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c x)^{5/2} \sqrt {a x+b x^2}} \, dx\) [7]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c x)^{7/2} \sqrt {a x+b x^2}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c x)^{9/2} \sqrt {a x+b x^2}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c x)^{11/2} \sqrt {a x+b x^2}} \, dx\) [10]