# Find the area of the region In the XY-plane enclosed by two parabolas #y=x^2# and #y=2x-x^2#?

##### 1 Answer

May 4, 2018

#### Explanation:

We shall find the x coordinates of the region by setting

The graphs of the two functions should show us that the enclosed area is from 0 to 1:

It does.

The area of the region is: