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 $ .