GRR

Im stuck

$\displaystyle I_n=\int(2-x^2)^n .dx \ \ \ \ \ n\geq0 $

(limits are $\displaystyle \sqrt{2}$ and $\displaystyle 0$, i dont know how to put them usin the Latex codes, sorry)

show that

$\displaystyle I_n=\frac{4n}{2n+1}I_{n-1} \ \ \ \ \ n\geq1$

please help

:S