Inverse Laplace Transform Calculator

Find the inverse Laplace transform

The calculator will try to find the Inverse Laplace transform of the given function.

Recall that $$$\mathcal{L}^{-1}(F(s))$$$ is such a function $$$f(t)$$$ that $$$\mathcal{L}(f(t))=F(s)$$$.

Usually, to find the Inverse Laplace transform of a function, we use the property of linearity of the Laplace transform. Just perform partial fraction decomposition (if needed), and then consult the table of Laplace transforms.

Enter the function `F(s)`:

For the Laplace Transform, see Laplace Transform calculator.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your input: find $$$\mathcal{L}^{-1}\left(\frac{5}{s^{2} + 2 s + 10}\right)$$$


$$$\mathcal{L}^{-1}\left(\frac{5}{s^{2} + 2 s + 10}\right)=\frac{5 e^{- t} \sin{\left(3 t \right)}}{3}$$$