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**1. Homework Statement**

Determine the Laplace transform of the given function:

[itex] f(t) = sin(t) [/itex] for [itex] 0 <= t < \pi [/itex] and [itex] f(t) = 0 [/itex] for [itex] \pi <= t [/itex]

**2. Homework Equations**

**3. The Attempt at a Solution**

Ok, I've been having some trouble figuring out how I should write the above branched function (sorry for the format, I'm not sure how to write branched function in latex). This is what I have the function as right now:

[itex] f(t) = (1-\sin t)u_{\pi}(t) [/itex]. I can visualize what the graph of the above function should look like, but I sometimes have trouble actually writing it. I was hoping somebody could confirm whether or not this is correct, once I have the function figured out I suspect the rest of the problem probably won't be too difficult.