Definite Integration Question 489

Question: If $ \int_0^{2a}{f(x)dx=2\int_0^{a}{f(x)dx,}} $ then

[SCRA 1986]

Options:

A) $ f(2a-x)=-f(x) $

B) $ f(2a-x)=f(x) $

C) $ f(a-x)=-f(x) $

D) $ f(a-x)=f(x) $

Show Answer

Answer:

Correct Answer: B

Solution:

It is a fundamental property.