_ -1 ^1 x|x| d x= - Vidyadip

MCQ

$\int_{-1}^1 x|x| d x=$

A
1
✓
$0$
C
2
D
-2

✓

Answer

Correct option: B.

$0$

(B)
Let $f (x)=x|x|$
$\therefore f(-x)=-x|-x|=-x|x|=-f(x)$
$\therefore f (x)$ is an odd function.
$\therefore \quad \int_{-1}^1 x|x| d x=0$

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