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

The value of the integral `int_((pi)/(6))^((pi)/(3))((sin x-x cos x))/(x(x+sin x))dx` is equal to

A

`log_(e )((2(pi+3))/(2pi+3sqrt(3)))`

B

`log_(e )((pi+3)/(2(2pi+3sqrt(3))))`

C

`log_(e )((2pi+3sqrt(3))/(2(pi+3)))`

D

`log_(e )((2(2pi+3sqrt(3)))/(pi+3))`

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