Definite Integration Question 90

Question: $ \int _{-4}^{4}{|x+2|dx}= $

Options:

A) 50

B) 24

C) 20

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ \int _{-4}^{4}{|x+2|dx=\int _{-4}^{-2}{-(x+2)dx+\int _{-2}^{4}{(x+2)dx}}} $

$ =| \frac{-x^{2}}{2}-2x | _{-4}^{-2}+| \frac{x^{2}}{2}+2x | _{-2}^{4}=20 $ .