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

B

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

C

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

D

(d) `(a+b)int_(a)^(b)f(x)dx`

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The correct Answer is:

B

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