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## Homework Statement

f(t)= 1 if 0≤t≤1 ; 0 is t>1

find the laplace transform

## Homework Equations

## The Attempt at a Solution

I know u(t)= 0 for t<0 and 1 for t≥0

I know I have to shift it and get

u_a(t)=u(t-a)= 1 if 0≤t≤a, 0 if a>1

am I even going the right way?

then I think I integrate it from 0 to inf with

∫e^(-st)u_a(t) dt = ?

not sure what to do from here