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If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 a...

If `f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2` and `int_0^1 f(x)dx=(2A)/pi` then constants `A` and `B` are

A

`pi//2`

B

`2//pi, 3//pi`

C

`0, 4//pi`

D

`4//pi,0`

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The correct Answer is:
D
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