If the random variables X and Y have the joint pdf:

f (x, y)= { cx^2y for x^2<=y<=1

0, elsewhere

Find c?

i know

$\displaystyle \int_a^b$ $\displaystyle \int_c^d$ f(x, y) dxdy=1 for a<y<b, c<x<d.

Therefore, for finding c,

$\displaystyle \int_1^0$$\displaystyle \int_x2^1$

is it rigt?