In the figure below, one cycle of a sinusoid for 0 ≤ t ≤ π is shown. Let the Laplace transform of x(t) is

\(X\left( s \right) = \frac{{10\left( {1 - {e^{ - ks}}} \right)}}{{\left( {{s^2} + 4} \right)}}\)

What is the value of k in the expression?

Enter numerical value using the virtual keypad. Round off where necessary.

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