# A laplace transform

#### psid

1. Homework Statement

Where to begin when trying to calculate the inverse Laplace transform of $$\hat{f}(s)=\frac{1}{\sqrt{s+1}}$$? I know it's tabulated, but I'd like to calculate it without resorting to a tabulated result. Thanks

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#### gabbagabbahey

Homework Helper
Gold Member
A good place to start would be the definition of inverse Laplace Transform...it involves an integral...go ahead and try to do the integration.

#### Tom Mattson

Staff Emeritus
Gold Member
More specifically it involves a contour integral. psid, have you taken a course complex analysis? If not then you'll have a hell of a time trying to invert that from scratch.

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