Definite Integration Question 33
Question: $ \int _{-1}^{2}{|x|dx} $
[DCE 1999]
Options:
A) 5/2
B) 1/2
C) 3/2
D) 7/2
Show Answer
Answer:
Correct Answer: A
Solution:
$ I=\int _{-1}^{2}{|x|dx} $
$ =\int _{-1}^{0}{-xdx}+\int_0^{2}{xdx} $
$ =-[ \frac{x^{2}}{2} ] _{-1}^{0}+[ \frac{x^{2}}{2} ]_0^{2} $
$ =-[ 0-\frac{1}{2} ]+[2] $
$ =2+\frac{1}{2}=\frac{5}{2} $ .