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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),(pi)/(2)`

B

`(2)/(pi),(3)/(pi)`

C

`0-(4)/(pi)`

D

`(4)/(pi), 0`

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Verified by Experts

The correct Answer is:
D
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