Question

Find the Laplace transform of the function:
f(t) =Sin 2t if π ≤ t ≤ 2π; f(t) = 0 if t <π or if t>2π

Answer 1

Rewrite using the unit step functions.

Answer 2

So, we have:
\[
F(s)=\int_{0}^\infty e^{-st}\sin(t)\;dt
\]For \(t\in [\pi, 2\pi]\)
And, we have:
\[
F(s)=0
\]For \(t\in \mathbb{R}\setminus [\pi, 2\pi]\)

Evaluate this case to receive the answer.

Answer 3

I'm still having a hard time. I just started learning this material last Friday.

Answer 4

What problems are you having?

Answer 5

how to even go about starting the problem