Laplace Transform Calculator

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

Recall that the Laplace transform of a function is $$$F(s)=L(f(t))=\int_0^{\infty} e^{-st}f(t)dt$$$.

Usually, to find the Laplace transform of a function, one uses partial fraction decomposition (if needed) and then consults the table of Laplace transforms.

Enter the function `f(t)` :

For Inverse Laplace Transform, see Inverse 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 $$$\mathcal{L}\left(e^{2 t} \sin{\left(5 t \right)}\right)$$$

Answer

$$$\mathcal{L}\left(e^{2 t} \sin{\left(5 t \right)}\right)=\frac{5}{\left(s - 2\right)^{2} + 25}$$$