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).