Hi,

I have been given a joint pdf for 2 random variables:

f(x,y) = k - y , 0 < y < $\displaystyle x^2 $< 1

and am trying to find the value of the constant k. I was just wondering if anyone could tell me whether i have set up the integral correctly. This is how i have set it up:

$\displaystyle

\int_0^1 \int_0^{x^2} k-y \ dy dx \ = 1

$

any help would be really apprectiated