Let $f\;:R \to R$ be a continuous function such that $f\left( x \right)$ is not identically equal to zero. If $\mathop \smallint \limits_2^5 \,\,f\left( x \right)\,\,dx = \mathop \smallint \limits_{ - 2}^5 \,\,f\left( x \right)\,\,dx$, then $f\left( x \right)$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Let

f\;:R \to R

be a continuous function such that

f\left( x \right)

is not identically equal to zero. If

\int \limits_2^5 \,\,f\left( x \right)\,\,dx = \int \limits_{ - 2}^5 \,\,f\left( x \right)\,\,dx

, then

f\left( x \right)

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the given condition only implies that the integral from -2 to 2 is zero, which doesn't necessarily mean the function is odd or even.

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[*]

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