Definite Integration Question 135
Question: $ \int _{-1}^{1}{x|x|}dx= $
[MP PET 1990; Pb. CET 2004]
Options:
A) 1
B) 0
C) 2
D) $ -2 $
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ f(x)=x|x| $ . Then $ f(-x)=-x|-x|=-x|x|=-f(x) $
Therefore $ \int _{-1}^{1}{x|x|dx=0} $ , (By the property of definite integral).