Talk:Laplace Transform of Integral

The theorem's proof assumes $f(t)$ continuous, which is missing from the hypothesis of the theorem. The assumption on $f(t)$ in classical Laplace theory is not continuity but piecewise continuity. Phrase "whenever the Laplace of $f$ exists" does not include the hypothesis "$f$ continuous." --Gbgustafson (talk) 15:29, 28 February 2022 (UTC)


 * So how would you fix the proof so that it does not assume continuity?
 * The exposition and proof are as given in Spiegel, but he is notorious for being lax, and there are often mistakes in his publications. --prime mover (talk) 20:46, 28 February 2022 (UTC)