Find the area bounded by x=2y-y^2...

Find the area bounded by `x=2y-y^2

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The correct Answer is:

`(4)/(3)` sq. units

`A=overset(2)underset(0)intx dy=overset(2)underset(0)int(2y-y^(2))dy=[y^(2)-(y^(3))/(3)]_(0)^(2)=4-(8)/(3)=(4)/(3)`

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