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The value of underset(-pi//2)overset(pi/...

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

A

`(3)/(20)(4pi-3)`

B

`(1)/(12)(7pi-5)`

C

`(3)/(10)(4pi-3)`

D

`(1)/(12)(7pi+5)`

Text Solution

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The correct Answer is:
A
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