Math Help - Area Enclosed

1. Area Enclosed

Find the area of the enclosed region given by the functions:

$y = \frac{1}{x^2+1}$ and $y = \frac{x^2}{2}$

I Got It Down To:
$A = \int_{-1}^{\frac{1}{2}} \left( (\sqrt{\frac{1-y}{y}}) - (\sqrt{2y}) \right) dy$

I Just Dont Know How To Integrate This Equation
Thanks

2. Hi

$A = \int_{-1}^{1} \left(\frac{1}{x^2+1} - \frac{x^2}{2}\right)\:dx$