# Thread: Region bounded by a curve question?

1. ## Region bounded by a curve question?

Can someone help me solve this question?

Compute the area of the region bounded by the curve x=5+4y-y^2 and the y-axis.

Not sure how to do this when the x and y's are switched like in the above equation. To be honest I'm not really sure how to even begin.

2. $\int_{-1}^{5}5+4y-{y}^{2}=5y+2{y}^{2}-\frac{{y}^{3}}{3}$

Now just solve

3. Oh you just find the zeros and then calculate the integral...didnt realize it was that easy! Thanks!