OJEE Symmetry — practice questions

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

Practise Symmetry with Quill →

Symmetry questions and exercises with answers

Showing questions 1–1 of 1.

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

Show answer and solution

Correct answer: A. $0$

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

Open this question →

How to practise

Choose a Symmetry question and try to work out your answer.
Open the question to check the correct answer and read its worked solution.
Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

OJEE 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: