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

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

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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