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Question: If \(\int _ { 0 } ^ { 2 a } f ( x ) d x = 2 \int _ { 0 } ^ { a } f ( x ) d x\) then...

If ∫02af(x)dx=2∫0af(x)dx\int _ { 0 } ^ { 2 a } f ( x ) d x = 2 \int _ { 0 } ^ { a } f ( x ) d x then

A

f(2a−x)=−f(x)f ( 2 a - x ) = - f ( x )

B

f(2a−x)=f(x)f ( 2 a - x ) = f ( x )

C

f(a−x)=−f(x)f ( a - x ) = - f ( x )

D

f(a−x)=f(x)f ( a - x ) = f ( x )

Answer

f(2a−x)=f(x)f ( 2 a - x ) = f ( x )

Explanation

Solution

It is a fundamental property.