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

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

A

`1/12(7pi+5)`

B

`3/10(4pi-3)`

C

`1/12(7pi-5)`

D

`3/20(4pi-3)`

Verified by Experts

The correct Answer is:

D

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