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The area of the region enclosed by y=x^2...

The area of the region enclosed by `y=x^2 and y=sqrt(|x|)` is

A

`1//3`

B

`2//3`

C

`1//6`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
`y=x^(2)` is unward parabola
`y=sqrt(|x|)={{:(sqrtx",",xge0),(sqrt(-x)",",xlt0):}`
The graph of the functions is as shown in the following figure:

`A=2int_(0)^(1)(sqrtx-(x^(2))/(2))dx`
`=(2)/(3)`
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