Centroid of a bounded region: Help

  • Thread starter x31fighter
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  • #1

Homework Statement


Find the centroid of the region bounded by the graphs of y = sqrt (x) and y = (1/2) * x


Homework Equations


A = [f(x)-g(x)]dx
from point a -> b


The Attempt at a Solution


x = [0,4] ; p(0,0) and p(4,2)

I am just checking on if I did the integral correctly.

A = ((2x^3)/3) - ((x^2)/4)] 0 -> 4
 

Answers and Replies

  • #2
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Homework Statement


Find the centroid of the region bounded by the graphs of y = sqrt (x) and y = (1/2) * x


Homework Equations


A = [f(x)-g(x)]dx
from point a -> b


The Attempt at a Solution


x = [0,4] ; p(0,0) and p(4,2)

I am just checking on if I did the integral correctly.

A = ((2x^3)/3) - ((x^2)/4)] 0 -> 4

Not quite. If you integrate x1/2 you don't get x3.
 

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