Find all maxima and minima of the functi...

Find all maxima and minima of the function `y = x(x-1)^2` for `0<=x<=2` Also, determine the area bounded by the curve `y = x (x-1)^2`, the X-axis and the line x = 2 .

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The correct Answer is:

`Y_(max)=2 ; Y_(min)=0` ; Area = 10/3

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