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If f(a+b-x)=f(x), then int(a)^(b)xf(x)dx...

If `f(a+b-x)=f(x)`, then `int_(a)^(b)xf(x)dx` is equal to

A

`(a+b)/(2)int_(a)^(b)f(b-x)dx`

B

`(a+b)/(2)int_(a)^(b)f(b+x)dx`

C

`(b-a)/(2)int_(a)^(b)f(x)dx`

D

`(a+b)/(2)int_(a)^(b)f(x)dx`

Text Solution

Verified by Experts

The correct Answer is:
D
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