Laplace transform unit step function

[magnifik]

What is the laplace transform of a function that is 1 from 0 to 10 and 0 elsewhere?

I know that this can be represented by the step function U(10-t)U(t)...but how do i find the laplace transform of this?

 

[Char. Limit]

I would try starting with the definition of the Laplace function. I assume you know it.

 

[LCKurtz]

Also, you might find it more convenient to represent such functions as differences instead of products. For example, if f(t) = 1 on (a,b) and 0 elsewhere you can write it

f(t) = u(t-a) - u(t-b)

Then if you know L(u(t-t₀)) it becomes very easy.