Home > Definite Integration > JEE Main 2018 > DI-Q10
Definite Integration
Even and Odd Functions
JEE Main 2018
Grade 12

Question:

$\int_{-1}^1 x|x| \, dx$ equals:
(1) $0$
(2) $1$
(3) $2$
(4) $\frac{2}{3}$

Step-by-Step Solution

Key Concept: Determine whether the integrand $x|x|$ is an odd or an even function on the symmetric interval $[-1, 1]$, and use the corresponding property of definite integrals.
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Correct Answer: (1)

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