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Indian Navy SSR (Sailor) Properties — practice questions

Explore 1 free Properties questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Properties questions and exercises with answers

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The value of $\int_a^a f(x)\,dx$ is:Read the answer and worked solution →

Worked practice questions

The value of $\int_a^a f(x)\,dx$ is:

  1. $f(a)$
  2. $0$
  3. $2f(a)$
  4. Undefined
Show answer and solution

Correct answer: B. $0$

By the Fundamental Theorem, $\int_a^a f(x)\,dx = g(a) - g(a) = 0$ for any antiderivative $g$. The interval has zero width, so the signed area is zero.

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