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Let f(x)=|(2cos^2x,sin2x,-sinx),(sin2x,2...

Let `f(x)=|(2cos^2x,sin2x,-sinx),(sin2x,2sin^2x,cosx),(sinx,-cosx,0)|` . Then the value of `int_0^(pi//2)[f(x)+f^(prime)(x)]dx` is
a.`pi`
b. `pi//2`
c.`2pi`
d. `3pi//2`

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