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int(0)^(pi//2)(x-[cosx])dx=. . . . . whe...

`int_(0)^(pi//2)(x-[cosx])dx=. . . . .` where [t] = greatest integer less or equal to t

A

`(pi^(2))/(8)-(pi)/(8)`

B

`(pi^(2))/(8)`

C

`(pi^(2))/(8)-1`

D

`(pi)/(4)`

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The correct Answer is:
B
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