- #1

3soteric

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## Homework Statement

Find the centroid of the region in the first quadrant of the xy-plane bounded by the graphs of the equations:

x=0, x=1, y=x-x^2, and y^2=2x

## Homework Equations

xbar: integral of x dA/ integral of dA

ybar: integral y dA/ integral of dA

## The Attempt at a Solution

my attempt at it was not so great, i determined the limit for the x values were from 0 to 1, the y limits were from x-x^2 to square root of 2x. I am not sure if the limits I chose are even valid, but that is what I could grasp. Then integrated dydx respectively with the limits, and ended up with 1/2 as the dA. I tried to find ybar and ended up with 29/15, which is clearly wrong if I have the concept of centroids correct. I attempted xbar but I can't seem to get too far.

Can I get some help please? this is a test review and need to understand this concept