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Let f (x) be a twice differentiable func...

Let f (x) be a twice differentiable function defined on `(-oo,oo)` such that `f (x) =f (2-x)and f '((1)/(2 )) =f' ((1)/(4))=0.` Then
`int _(-1) ^(1) f'(1+ x ) x ^(2) e ^(x ^(2))dx` is equal to :

A

1

B

`pi`

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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