Laplace Transform of t
The Laplace transform of t is 1/s^2. See the table rule behind it, then edit the function to transform anything else.
L{t} = 1/s^2. Each extra power of t adds one to the power of s in the denominator.
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{t} = 1/s^2
- L{t} = 1/s^2 Table rule: L{t^1} = 1!/s^2
Each extra power of t adds one to the power of s in the denominator.
More powers transforms
Other transforms
Frequently asked questions
What is the Laplace transform of t? ▾
L{t} = 1/s^2. Each extra power of t adds one to the power of s in the denominator.
Which rule gives the transform of t? ▾
L{t^1} = 1!/s^2 applied to t.
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 t is 1/s^2. See the table rule behind it, then edit the function to transform anything else.