Integrate ln(x)^1000, Integral Calculus Problem

Published: 08 August 2024
on channel: Dr. Bevin Maultsby
348
20

In this video, we compute the definite integral from 0 to 1 of ln(x)^1000. We'll find a general pattern in terms of a factorial (up to sign). Additionally we will prove that the product involving xln(x)^p, an indeterminant form, has a limit of zero as x approaches zero.

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