## anonymous 5 years ago How do you find the unilateral Laplace Transform of x(t)=u(t)-u(t-2)

1. anonymous

look it up in my engineering cheetsheet?

2. anonymous

$X(s)={1 \over s}- {e ^{-2s} \over s}$

3. anonymous

AnwarA, can you explain how you found that? did you just use a laplace transform table?

4. anonymous

you can use the definition of laplace transform

5. anonymous

lemme see if i can make it readable

6. anonymous

$\int\limits_{0}^{\infty}e^(-s*t)f(t)dt$

7. anonymous

well you can easily do it using the Laplace definition or this formula for laplace transform of the unit step function: $L[u(t-a)]={e ^{-as} \over s}$

8. anonymous

yea, that didn't work, well, you can ignore when the step function is zero, and integrate where t > 0, or t-2 > 0

9. anonymous

Ah okay, thank you both.

10. anonymous

no problem.

11. anonymous

np