1. ## area bewteen curves

FInd the area bewteen the curves $x=y^2$ and the RIGHT semi-circle $x^2+y^2=2$

2. The equations are,
$x=y^2$
$x=\sqrt{2-y^2}$

Set up the integral, find the bounds..

$\int^{1}_{-1} \int^{\sqrt{2-y^2}}_{y^2}~dx~dy$

3. i havent learned double integrals.....so how do you do it using single integrals....or is there another way?

4. Originally Posted by polymerase
i havent learned double integrals.....so how do you do it using single integrals....or is there another way?
$\int_{-1}^1 (\sqrt{2 - y^2} - y^2)~dy$ is fine

5. For this particular question, my professor said, "There is a very fasy (altervative, not double integral) way to do this problem! Think about it!" of course he doesn't tell us!

Any idea what the "very fast" way is?