I am solving a question on double integrals, and I drew the graph and all but I am not sure if the limits of $x$ (since I am doing $dydx$) if it is $0 \ to \ 1$ or $-1 \ to \ 1.$ Which is correct and why? Can you also switch the integration to $dxdy$?
The area of the region bounded between $y = x^2$ and $y = 2 − x^2$ is given by : ?