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The value of int(-2)^(4)|x+1|dx is equal...

The value of `int_(-2)^(4)|x+1|dx` is equal to

A

`12`

B

14

C

13

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
Let `l=int_(-2)^(4)|x+1|dx`
`=int_(-2)^(-1)-(x+1)dx+int_(-1)^(4)(1+x)dx`
`[(x^(2))/2+x]_(-2)^(-1)+[x+(x^(2))/2]_(-1)^(4)`
`=[1/2-1-2-2]+[4+8-(-1+1/2)]`
`=1/2+(25/2)=13`
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