The value of the integral int(pi//6)^(pi...

The value of the integral `int_(pi//6)^(pi//2)((sinx-xcosx))/(x(x+sinx))dx` is equal to

A

`log_e((2(pi+3))/(2pi + 3sqrt3))`

B

`log_e (( pi + 3)/(2 (2pi + 3sqrt3)))`

C

`log_e((2pi + 3sqrt3)/(2(pi + 3)))`

D

`log_e ((2(2pi+3sqrt3))/(pi + 3))`

Verified by Experts

The correct Answer is:

A

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