(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the area bounded by the curves y=x^2 and y= 2 - x^2 for 0 ≤ x ≤ 2.

2. Relevant equations

∫top - ∫bottom

3. The attempt at a solution

∫(2-x^2)dx - ∫x^2dx

What I'm confused about is that the two equations only cross on [-1,1] so within the interval of the problem I only have an enclosed area on [0,1]. But the problem asks for the area on [0,2]. How do I reconcile the differing intervals?

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# Homework Help: Area Between Curves

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