# Thread: Area between 2 curves, just need someone to check my work.

1. ## Area between 2 curves, just need someone to check my work.

Alright so the problem:

Find the reigon in the xy plane that is bounded by the curves:

x = y^2
and
2y + x = 3

quickly solving for the y coordinates of intersection, i get
y = -3 and 1

so using horizontal components i got:

$\int^{1}_{-3}$ 3-2y - y^2

and then integrating and quickly solving i get 32/3 as a final answer
do the steps seem alright or have i made a mistake somewhere?

Many thanks

2. I obtained the same integral and the same result 32/3. All is ok