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Question

Question: The value of \(\int_{- 1}^{1}{}x|x|\) dx is...

The value of 11xx\int_{- 1}^{1}{}x|x| dx is

A

2

B

1

C

0

D

None of these

Answer

0

Explanation

Solution

The function f(x) = x |x| is an odd function. Therefore 11xxdx=0.\int_{- 1}^{1}{x|x|dx = 0.}