Inverse Laplace Transform Calculator

Inverse Laplace transforms are the integral notations which are the inverses of the original Laplace transforms. These integral notations help us give the answers of some tricky integrals by using the method given as the Laplace formulas. Inverse Laplace transform calculator is the quick online tool which can instantly give solution to the integrals.


Example 1: Find the inverse Laplace transform of each of the given function:

F(s) = (2/s) + 3/(s - 4)

We use the Inverse Laplace transform formula for each term!

Inverse Laplace transform formula for the function of the form (1/s) = 1

Hence for 2/s, the Inverse Laplace transform is  2(1) = 2

Inverse Laplace transform formula for the function of the form 1/(s – a) = e^at

Hence  For 3/(s – 4), the Inverse Laplace transform is  3(e^4t)

Hence   Inverse Laplace transform formula of (2/s) + 3/(s - 4) = 2 + 3e^4t

 
Example 2: Find the inverse Laplace transform of each of the given function:

F(s) = 5/(s + 2) + 6/(s – 3)

We use the Inverse Laplace transform formula for each term!

Inverse Laplace transform formula for the function of the form 1/(s – a) = e^at

Hence   For 5/(s + 2), the Inverse Laplace transform is   5(e^-2t)

Similarly  For 6/(s – 3), the Inverse Laplace transform is    6(e^3t)

Hence   Inverse Laplace transform formula of 5/(s + 2) + 6/(s – 3) = 5(e^-2t) + 6(e^3t)