Laplace Transform Calculator

Calculate the Laplace transform

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.

Related calculator: Inverse Laplace Transform Calculator

The unit step function (Heaviside function) $$$u_c\left(t\right) = u{\left(t - c \right)} = \theta\left(t - c\right)$$$ should be entered as heaviside(t-c), the dirac delta function $$$\delta\left(t - c\right)$$$ should be entered as dirac(t-c).

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Your Input

Find $$$\mathcal{L}_{t}\left(e^{2 t} \sin{\left(5 t \right)}\right)$$$.

Answer

The Laplace transform of $$$e^{2 t} \sin{\left(5 t \right)}$$$A is $$$\frac{5}{s^{2} - 4 s + 29}$$$A.