The discussion focuses on finding the centroid of the region bounded by the curves y = sqrt(x) and y = (1/2) * x. The area A is calculated using the integral A = [f(x) - g(x)]dx from x = 0 to x = 4, yielding A = ((2x^3)/3) - ((x^2)/4) evaluated from 0 to 4. A participant points out an error in the integration process, specifically regarding the integration of x^(1/2), which does not yield x^3. Correct integration techniques are crucial for accurate centroid calculations.
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x31fighter said: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