Almost always easier. It's good to evaluate a few forward and inverse integrals just to see what's involved and that the tables are magical -- but in practice you play as many games as you can to avoid evaluating the integral first, if for no other reason than if what you are working with isn't already in the table, then the integral is going to be a stone bitch.That is usually a good deal easier than evaluating the integral.
Kudos to you, Papabravo... I speak two languages, and my guts haven't hurt so much for laughing this hard for a long time...You use a table of Inverse Laplace Transforms. Like this one:
or if you have the intestinal fortitude you can evaluate the integral.
That's the point at which most people do them -- usually in Diffy-Q about midway through their undergraduate program. If you go further and take a complex variables course you often do them from a different perspective using contour integration (IIRC) and that may or may not be at a graduate level. When a friend and I were studying for the PhD qualifiers we went and derived a good portion of a basic table just for the general practice it offered.I must confess, that the last time I did one of those integrals I was an undergraduate.
Hi,And keep in mind that you often need to play with the form of what you have in order to get it into one of the forms in the tables you are using.
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