Hidden Roots ........

Calculus Level 2

The function \(f(x)= x^{3}-11x^{2} +19x+13\) has zeros \(a_{1},a_{2},a_{3}.\) Then what is the value of \([ a_{1} ]+[ a_{2} ]+[ a_{3} ]?\)

Note: \([m]\) Represents the greatest integer less than or equal to \(m.\)

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