How can I show that the Inverse Laplace transform of $\dfrac{a}{s^2+a^2}=\sin at$ without the use of tables? Is there a formula or a direct way to do this?
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1You can use contour integration. See here. – Mhenni Benghorbal Feb 26 '14 at 05:21
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You are welcome. – Mhenni Benghorbal Feb 26 '14 at 05:38