Definite Integration Question 401

Question: If $ \int _{-1}^{1}{f(x)dx=0} $ , then

[SCRA 1990]

Options:

A) $ f(x)=f(-x) $

B) $ f(-x)=-f(x) $

C) $ f(x)=2f(x) $

D) None of these

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Answer:

Correct Answer: B

Solution:

It is a fundamental property.