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The area of the plane figure bounded by ...

The area of the plane figure bounded by lines `y=sqrt(x), x in [0, 1], y=x^(2), x in [1, 2] and y=-x^(2)+2x+4, x in [0, 2]` is

A

`(10)/(7)`

B

`(10)/(3)`

C

`(3)/(5)`

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Area `=underset(0)overset(2)(int)(-x^(2)+2x+4)dx-underset(0)overset(1)(int)sqrt(x).dx-underset(1)overset(2)(int)x^(2).dx=(19)/(3)`
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