1. The problem statement, all variables and given/known data Find the centroid of the region bounded by the curve x=5-y2 and x=0. Answer is (2,0). 2. Relevant equations A = ∫[f(x)-g(x)]dx a->b xbar = 1/A ∫ x[f(x)-g(x)]dx from a->b ybar = 1/A ∫ 1/2[f(x)2-g(x)2]dx 3. The attempt at a solution I know that the graph is a sideway parabola with vertex at (5,0) and bounded at x=0, this means that the graph is symmetrical above and below the x-axis so y value of centroid is 0. For the x value of the centroid. I don't know if I should be integrating from 0->5? or integrating from the y intercepts -√5 -> √5. In addition, I was always told it's the upper graph - lower graph. Because this is kind of a sideway graph, would I subtract parabola from line (5-y^2 - 0) or line from parabola (0-5-y^2)? If anyone could help me understand setting the bounds, that would be great!