Calculate the following, if it exists: $\int_{0}^{1} x^a(lnx)^mdx$ , where $a > 1$ and $m$ is a nonnegative integer.
Hello.l Could somebody help me figure out how to solve this integral? I'm stumped on where to begin, but I suspect that I should use integration by parts and deduce some pattern.
Calculate the following, if it exists: $\int_{0}^{1} x^a(lnx)^mdx$ where $a > 1$ and $m$ is a nonnegative integer.
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Erdos
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