If int0^(pi/3)(cosx)/(3+4sinx) dx=k log(...

If `int_0^(pi/3)(cosx)/(3+4sinx) dx=k log((3+2sqrt(3))/3),` then `k` is equal to

`(1)/(2)`

`(1)/(3)`

`(1)/(8)`

`(1)/(4)`

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