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The value of integral int(-1)^(1)(|x+2|)...

The value of integral `int_(-1)^(1)(|x+2|)/(x+2)` dx is

A

1

B

2

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `l=int_(-1)^(2)(|x+2|)/(x+2)dx`
For `-1lexle1,|x+2|=2+x`
`thereforel=int_(-1)^(1)(x+2)/(x+2)dx=int_(-1)^(1)1dx`
`=[x]_(-1)^(1)=1-(-1)=2`
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