# Math Help - Area between two curves

1. ## Area between two curves

Find the area of the region bounded by the graph of x=1-y^(2) and x=y^(2)-1.
Thanks for the help.

2. Originally Posted by nystudent2729
Find the area of the region bounded by the graph of x=1-y^(2) and x=y^(2)-1.
Thanks for the help.
step 1, find the points of intersection
step 2, integrate the 2 curves over the two points of intersection
step 3, subtract the area of the curve on bottom from the area on top

let me know if you need more help than that. I know its not as easy as 1,2,3 lol.

3. Originally Posted by nystudent2729
Find the area of the region bounded by the graph of x=1-y^(2) and x=y^(2)-1.
Thanks for the help.
the graphs are symmetrical to the y-axis, intersecting the y-axis at y = 1 and y = -1 ...

$A = 2\int_{-1}^1 1 - y^2 \, dy$