If Delta(x)=|(1,cosx,1-cosx),(1+sinx,cos...

If `Delta(x)=|(1,cosx,1-cosx),(1+sinx,cosx,1+sinx-cosx),(sinx, sinx ,1)|` then `int_0^(pi//2)Delta(x) dx` is equal to :

A

`-(1)/(2)`

B

0

C

`(1)/(4)`

D

`(1)/(2)`

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The correct Answer is:

A

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