Inverse Laplace Transform of 1/s
The inverse Laplace transform of 1/s is 1. See the partial fraction expansion and the transform pair used for each term, then edit F(s) to try your own.
L⁻¹{1/s} = 1. The simplest pair of all: a single pole at the origin is a constant in the time domain.
e.g. 2s+3
Expanded or factored, e.g. (s+1)(s^2+4)
The result
L⁻¹{1/s} = 1
Partial fractions: 1/s
- Invert 1/s — L⁻¹{A/(s − a)^1} = A·t^0e^(at)/0!
The simplest pair of all: a single pole at the origin is a constant in the time domain.
More inverse transforms
Frequently asked questions
What is the inverse Laplace transform of 1/s? ▾
It is f(t) = 1. The simplest pair of all: a single pole at the origin is a constant in the time domain.
What are the partial fractions here? ▾
F(s) splits into 1/s, and each piece is inverted separately.
How can I check this answer? ▾
Transform 1 forward again with the Laplace transform calculator — you should get back 1/s.
About this Calculator
The inverse Laplace transform of 1/s is 1. See the partial fraction expansion and the transform pair used for each term, then edit F(s) to try your own.