MP DTE Symmetry — practice questions

Explore 1 free Symmetry questions in MP DTE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Symmetry questions and exercises with answers

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If $f$ is **odd** on $[-a, a]$, then $\displaystyle\int_{-a}^{a} f(x)\, dx$ equals:Read the answer and worked solution →

Worked practice questions

If $f$ is odd on $[-a, a]$, then $\displaystyle\int_{-a}^{a} f(x)\, dx$ equals:

$0$
$2\int_0^a f(x)dx$
$a$
Cannot be determined

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Correct answer: A. $0$

By symmetry, odd-function integrals over symmetric intervals vanish. (For even $f$: $2\int_0^a f$.)

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MP DTE Symmetry — practice questions

Symmetry questions and exercises with answers

Worked practice questions

If $f$ is **odd** on $[-a, a]$, then $\displaystyle\int_{-a}^{a} f(x)\, dx$ equals:

How to practise

More Mathematics topics

If $f$ is odd on $[-a, a]$, then $\displaystyle\int_{-a}^{a} f(x)\, dx$ equals: