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

If `Delta (x)= |(1,cos x,1-cos x),(1+sin x ,cos x,1+sin x-cos x),(sin x,sin x,1)|`, then `int_(0)^(pi//2) Delta (x) dx=` a)`(-1)/(2)` b)`(1)/(2)` c)1 d)`-1`

A

`(-1)/(2)`

B

`(1)/(2)`

C

1

D

`-1`

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The correct Answer is:

A

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