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If f(x)=f(pi + e - x) and int(e)^(pi)f(x...

If `f(x)=f(pi + e - x)` and `int_(e)^(pi)f(x)dx=(2)/(e + pi)`, then `int_(e)^(pi)xf(x)dx` is equal to

A

`pi-e`

B

`(pi+e)/(2)`

C

1

D

`(pi-e)/(2)`

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The correct Answer is:
C
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