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Looks like I had a silly mistake at about 13:26, I should have written x^2=4y instead of "2y". Oops! I only used that as a general reference for the shape of the graph though, so it didn't end up affecting the integral set up.
Looks like I had a silly mistake at about 13:26, I should have written x^2=4y instead of "2y". Oops! I only used that as a general reference for the shape of the graph though, so it didn't end up affecting the integral set up.