Signals & Systems

Signal Classification

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Fourier Transform

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Laplace Transform

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Z-Transform

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Inverse Laplace Transform

Partial fraction expansion, residue method.

Darshan N

Updated: 19 March 2026

7 min read

#Signals & Systems

Inverse Laplace Transform

Test your ability to compute inverse Laplace transforms using partial fraction expansion.

Question 1 of 3

Q1.Find the inverse Laplace transform of X(s) = (2s + 5) / ((s + 1)(s + 2)) for a causal signal.

Laplace Transform Properties

Linearity, time shift, s-domain shift, differentiation.

5 min read

Laplace Transform Definition

F(s) = integral x(t)e^(-st)dt, bilateral and unilateral.

11 min read

System Analysis Using Laplace

Solving differential equations, circuit analysis.

12 min read

Inverse Z-Transform

Partial fractions, long division, contour integration.

5 min read

Inverse Fourier Transform

x(t) = (1/2pi) integral F(w)e^(jwt)dw synthesis.

12 min read

Final Value Theorem

Inverse LT of Repeated Poles

Contents

Inverse Laplace Transform

Inverse Laplace Transform

Q1.Find the inverse Laplace transform of X(s) = (2s + 5) / ((s + 1)(s + 2)) for a causal signal.

Related Articles

Laplace Transform Properties

Laplace Transform Definition

System Analysis Using Laplace

Inverse Z-Transform

Inverse Fourier Transform