_ - 1 ^1 x ,|x| , dx = - Vidyadip

MCQ

$\int_{ - 1}^1 {x\,|x|\,} dx = $

A
$1$
✓
$0$
C
$2$
D
$ - 2$

✓

Answer

Correct option: B.

$0$

b
(b) 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).

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