# Laplace Transform Calculator

The calculator will 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.

**Your input: find $$$\mathcal{L}\left(e^{2 t} \sin{\left(5 t \right)}\right)$$$**

## Answer

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