it's like this i think u wrote that there

or it's don't know if u wrote there for t goes from -11 to 2 or its for t goes from 1 to 2

Step function is defined : for , and for

but when u need to make let's say square signal with amplitude 1 from 0 to 1 u'll do it like this... u put step function and then add one more but negative one that begins at 1 so it looks like this :

and for Laplace , just put it in integral and solve it it's quite simple do u know how it's done ?

Laplace transform (bilateral):

unilateral, just goes from not from ....

P.S. if needed i can write u detailed explanation

here are few signals with step functions, hope it will help u understand how to present signals by using step functions

signal

signal

signal

signal

to see signals bigger just click on them

and here u are a few basic Laplace transformations

well that's not all of "basic" but if u need more.. just say