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If f(x) = A sin((pix)/2) + B,f'(1/2) = s...

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

A

`pi/2,pi/2`

B

`2/pi, 3/pi`

C

`0, -4pi`

D

`4/pi, 0`

Text Solution

Verified by Experts

The correct Answer is:
D
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