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The value of the integral int f(0)^(2)|x...

The value of the integral `int f_(0)^(2)|x^(2)-1|dx` is

A

0

B

2

C

`-(1)/(3)`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
`int_(0)^(2)|x^(2)-1|dx=int_(0)^(1)-(x^(2)-1)dx`
`+int_(1)^(2)(x^(2)-1)dx`
`=[-x^(2)/(3)+x]_(0)^(1)+[(x^(3))/(3)-x]_(1)^(2)`
`=-(1)/(3)+1+(8)/(3)-2-(1)/(3)+1=2`
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