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If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=...

`If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d` `int_0^1f(x)dx=(2A)/pi` the constants A and B are (a) `pi/2a n dpi/2` (b) `2/pia n d3/pi` (c) `0a n d-4/pi` (d) `4/pia n d0`

A

`(pi)/(2)` and `(pi)/(2)`

B

`(3)/(pi)` and `(3)/(pi)`

C

0 and `-(4)/(pi)`

D

`(4)/(pi)` and 0

Text Solution

Verified by Experts

The correct Answer is:
D
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