2
$\begingroup$

$\int_{x_1}^{x_2}\frac{\sqrt{\frac{1}{3}x^3+a}}{(1-x)\sqrt{x}\sqrt{-\frac{4}{3}x^3+x^2-a}}dx$

where $a\in(0,\frac{1}{12})$ is a constant. In this case, $-\frac{4}{3}x^3+x^2-a=0$ has exactly two roots in $(0,1)$. $x_1,x_2$ are the two roots in $(0,1)$.

Thank you.

  • 0
    @J.M. , er, any results will be fine. I would appreciate it if you post your results!2012-05-05

0 Answers 0