Inverse Laplace Transform of \frac{1}{\sqrt{s+1}}: How to Calculate

psid
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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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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.
 
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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