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If int0^af(2a-x)dx=m and int0^af(x)dx=n,...

If `int_0^af(2a-x)dx=m and int_0^af(x)dx=n,` then `int_0^(2a) f(x) dx` is equal to

A

`2m +n`

B

`m+2n`

C

`m-n`

D

`m+n`

Text Solution

Verified by Experts

The correct Answer is:
D
`becauseint_(0)^(2a)f(x)dx`
`=int_(0)^(a){f(2a-x)+f(x)}dx`
`=int_(0)^(a)f(2a-x)dx+int_(0)^(a)f(x)dx`
`=m+n`
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