Three condition step function?

[CINA]

Homework Statement

http://img189.imageshack.us/img189/9859/mathlm.th.jpg

(Click the thumbnail)

Homework Equations

When taking the laplace transform of derivatives L{f^n(t)=(s^n)*F(s) - s^(n-1)*f(0)...}; the step function u(t-a)

The Attempt at a Solution

we have never done a step function that consisted of three parts before, and I'm just wondering what it is supposed to look like. We haven't gotten to the dirac-delta function so I'm guessing that is not it. If I know what f(t) looks like as a step function I could (probably) zip through the problem. Anyone have any ideas?

 

[hunt_mat]

You split up th integral into the following integrals:
$$\int_{0}^{\infty}=\int_{0}^{\pi}+\int_{\pi}^{2\pi}+\int_{2\pi}^{\infty}$$
The first and last integrals are zero, the middle integral is the only non-zero one.