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

Find the area bounded by `x=2y-y^2` and the `y-a x i s`.

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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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