The value of int(-pi//2)^(pi//2)(dx)/([...

The value of `int_(-pi//2)^(pi//2)(dx)/([x] + [ sin x] +4)`, where [t] denotes the greatest integer less than or equal to t , is

A

`1/12 (7 pi- 5) `

B

`3/10 (4pi -3)`

C

`3/20 (4 pi - 3)`

D

`1/12 (7 pi + 5)`

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The correct Answer is:

C

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