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Let `f: R rarr R `be a continuous function given by `f(x+y)=f(x)+f(y)` for all `x,y, in R,` if `int_0^2 f(x)dx=alpha,` then `int_-2^2 f(x) dx` is equal to

A

`2 alpha`

B

` alpha`

C

0

D

None of these

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-DEFINITE INTEGRAL-Exercise For Session 4
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