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If f(a+b+1-x)=f(x), for all x where a an...

If `f(a+b+1-x)=f(x)`, for all x where a and b are fixed positive real numbers, the `(1)/(a+b) int_(a)^(b) x(f(x)+f(x+1)` dx is equal to :

A

`underset(a+1)overset(b+1)int f(x)dx`

B

`underset(a+1)overset(b+1)int f(x+1)dx`

C

`underset(a-1)overset(b-1)int f(x)dx`

D

`underset(a-1)overset(b-1)int f(x+1)dx`

Text Solution

Verified by Experts

The correct Answer is:
A
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