Laplace Transform of 1
The Laplace transform of 1 is 1/s. See the table rule behind it, then edit the function to transform anything else.
L{1} = 1/s. The transform of the constant 1 (the unit step for t ≥ 0) is 1/s — the starting point of the whole table.
Use t as the variable. Examples: t^3, e^(-2t), sin(3t), t*cos(2t), 4t^2+3. Write δ(t) as delta(t).
The result
L{1} = 1/s
- L{1} = 1/s Table rule: L{1} = 1/s
The transform of the constant 1 (the unit step for t ≥ 0) is 1/s — the starting point of the whole table.
Other transforms
Frequently asked questions
What is the Laplace transform of 1? ▾
L{1} = 1/s. The transform of the constant 1 (the unit step for t ≥ 0) is 1/s — the starting point of the whole table.
Which rule gives the transform of 1? ▾
L{1} = 1/s applied to 1.
How do I get back from F(s) to f(t)? ▾
Use the inverse Laplace transform. Split F(s) into partial fractions and invert each piece with the same table read backwards — the inverse Laplace transform calculator does this step by step.
About this Calculator
The Laplace transform of 1 is 1/s. See the table rule behind it, then edit the function to transform anything else.