Given that the angle the lazor makes with the horizontal (the blue line in the GIF) at time \(t\) is \(f(t)\), and that
\[\int _{ 0 }^{ \pi }{ f(t) } \ dt=\frac { A{ \pi }^{ B } }{ C } \]
Find the value of \(A+B+C\)
\(\bullet\) \(f(t)\) is in radians.
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