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If f(x)=|{:(2cos^(2)x,sin2x,-sinx),(sin2...

If `f(x)=|{:(2cos^(2)x,sin2x,-sinx),(sin2x,2sin^(2)x,cosx),(sinx,-cosx,0):}|" then "int_(0)^(pi//2)[f(x)+f'(x)]dx=`

A

0

B

`pi`

C

`pi//2`

D

none

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