Derivation on Laplaican of integral of a function

Hi everyone! Im trying to understand the Laplacian transofrmation of an integral but with no success. Can someone
please sohw me the derivation of the following equation:



Best Regards

Hey dolle39.

Consider using Fubini's Theorem and evaluating the double integral:

Fubini's theorem - Wikipedia, the free encyclopedia

Thanks for answer. I still don't really see it. Wouldn't that just be the laplacian of y(t) , i.e Y(s)? Where does 1/s come in?

Did you try calculating the double integral corresponding to one integral being 0 to infinity for dx and 0 to infinity for s?