The value of $\mathop \smallint \limits_{ - 1}^1 \,\,x\left| {\,x\,} \right|\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

The value of

\int \limits_{ - 1}^1 \,\,x\left| {\,x\,} \right|\,\,dx

, is

View answer and explanation

Correct option: C

\mathrm{0}

Option C (0) is correct because the function

f(x) = x|x|

is an odd function, and the integral of an odd function over a symmetric interval

[-1, 1]

is always zero.

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