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