Laplace Transform of t²
The Laplace transform of t² is 2/s^3. See the table rule behind it, then edit the function to transform anything else.
L{t²} = 2/s^3. L{tⁿ} = n!/sⁿ⁺¹, so t² gives 2/s³.
Use t as the variable. Examples: t^3, e^(-2t), sin(3t), t*cos(2t), 4t^2+3. Write δ(t) as delta(t).
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The result
L{t²} = 2/s^3
- L{t^2} = 2/s^3 Table rule: L{t^2} = 2!/s^3
L{tⁿ} = n!/sⁿ⁺¹, so t² gives 2/s³.
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Frequently asked questions
What is the Laplace transform of t²? ▾
L{t²} = 2/s^3. L{tⁿ} = n!/sⁿ⁺¹, so t² gives 2/s³.
Which rule gives the transform of t²? ▾
L{t^2} = 2!/s^3 applied to t^2.
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 t² is 2/s^3. See the table rule behind it, then edit the function to transform anything else.
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