SOLUTION: Please help me with this. I dont know what math this is... What is the area of a region bounded by y=x^2 and y=2-x?

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Question 1001770: Please help me with this.
I dont know what math this is...
What is the area of a region bounded by y=x^2 and y=2-x?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculus.
First graph the equations so you know what you're dealing with and can determine the limits of integration.
.
It looks like the line is above the parabola between x=-2 and x=1 so that's the area you're interested in (?).
So then,
A=int%28%28%282-x%29-x%5E2%29%2Cdx%2Cx=-2%2C1%29
A=2x-x%5E2%2F2-x%5E3%2F3%2BC
Evaluating between the limits,

A=9%2F2