How to evaluate $\int_t^\infty e^{-sx}f(x)dx$ using laplace transform properties?
How to find Laplace Transform
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laplace-transform
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1@Litum: Do you have any information about $t$? – 2012-10-10
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0Do you mean you want to express that integral in terms of the laplace transform of $f$? – 2012-10-10
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0@fgp: I think if $t$ be the period of $f(x)$ then we could write some calculations. – 2012-10-10
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0@BabakSorouh Who says that $f$ is periodic? It think what you might be looking for is the relationship between the laplace transform of $f$ and that of $f$ shifted by $t$. – 2012-10-10
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0@fgp: Nobody says. It seems that we can only find a relationship between the laplace transform of f and ...as you noted. Doesn't it? – 2012-10-10
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0$t$ is not the period of $f$ it is just the argument. – 2012-10-12