Inverse Laplace Transform of 6/s⁴
The inverse Laplace transform of 6/s⁴ is t^3. See the partial fraction expansion and the transform pair used for each term, then edit F(s) to try your own.
L⁻¹{6/s⁴} = t^3. 6/s⁴ inverts to exactly t³.
e.g. 2s+3
Expanded or factored, e.g. (s+1)(s^2+4)
Try an example
The result
L⁻¹{6/s⁴} = t^3
Partial fractions: 6/s^4
- Invert 6/s^4 — L⁻¹{A/(s − a)^4} = A·t^3e^(at)/3!
6/s⁴ inverts to exactly t³.
More inverse transforms
Frequently asked questions
What is the inverse Laplace transform of 6/s⁴? ▾
It is f(t) = t^3. 6/s⁴ inverts to exactly t³.
What are the partial fractions here? ▾
F(s) splits into 6/s^4, and each piece is inverted separately.
How can I check this answer? ▾
Transform t^3 forward again with the Laplace transform calculator — you should get back 6/s⁴.
About this Calculator
The inverse Laplace transform of 6/s⁴ is t^3. See the partial fraction expansion and the transform pair used for each term, then edit F(s) to try your own.
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