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The area bounded by y=x^(2)+2 and y=2|x|...

The area bounded by `y=x^(2)+2 and y=2|x|-cospi x` is equal to

A

`2//3`

B

`8//3`

C

`4//3`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
B
Solving given curves
`x^(2)+2=2|x|-cos pix`
`rArr" "x^(2)-2|x|+2=-cos pix`
`rArr" "(|x|-1)^(2)+1=-cospix`
`rArr" "x=pm1`
`therefore" Required Area "=int_(-1)^(1)(x^(2)+2-2|x|+cospix)dx=8//3`
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