Laplace Transform of t⁴
The Laplace transform of t⁴ is 24/s^5. See the table rule behind it, then edit the function to transform anything else.
L{t⁴} = 24/s^5. The pattern continues: 4! = 24 over s⁵.
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{t⁴} = 24/s^5
- L{t^4} = 24/s^5 Table rule: L{t^4} = 4!/s^5
The pattern continues: 4! = 24 over s⁵.
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Frequently asked questions
What is the Laplace transform of t⁴? ▾
L{t⁴} = 24/s^5. The pattern continues: 4! = 24 over s⁵.
Which rule gives the transform of t⁴? ▾
L{t^4} = 4!/s^5 applied to t^4.
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 t⁴ is 24/s^5. See the table rule behind it, then edit the function to transform anything else.
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