∫−55 |x+2|dx is equal to

# ${\int }_{-5}^{5} |\mathrm{x}+2|\mathrm{dx}$ is equal to

1. A

13

2. B

19

3. C

21

4. D

29

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### Solution:

Here, the given integrand is in the form of absolute function and we define the absolute function as $|\mathrm{x}|=\mathrm{x},\mathrm{x}\ge 0$
or $|\mathrm{x}|=-\mathrm{x},\mathrm{x}<0$ by using it, we convert the given integrand in simple form and then integrate it.
Let, $\mathrm{I}={\int }_{-5}^{5} |\mathrm{x}+2|\mathrm{dx}$

It can be seen that  on [-2,5]

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