Find the x-coordinate of the centroid of the region bounded by the following curves: y=x^2,y=x+6.
Hint: Make a sketch and use symmetry where possible.
x-coordinate of Centroid:
I got the wrong answer but I came up with 558/740.
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I came up with a different answer, but we may start by finding the value of for which and intersect:
Our limits of integration are therefore . giving us the area of the region:
To find the -coordinate of the centroid, we just calculate
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