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Signals & SystemsLaplace Transform

The Laplace transform of e^(-at)u(t), with the appropriate ROC, is?

  • A1/(s-a)
  • B1/(s+a)
  • Cs/(s+a)
  • Da/(s²+a²)
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Correct Answer: B. 1/(s+a)
Explanation: For a right-sided exponential e^(-at)u(t), X(s)=1/(s+a) with ROC Re{s}>-a.
Reference: Standard signals and systems: laplace transform
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