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Integral of e^-x ln(x) from 0 to infinity

In this video, I evaluate the integral from 0 to infinity of e^(-x) ln(x) dx using power series. The answer is quite surprising and unexpected, so check it out! Enjoy! Note: This video is used in the evaluation of the Vardi integral, which I'll do in a later video

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Vardi Integral
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Vardi Integral

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ax^2+bx+c=0 but x=re^(i*theta)

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Integral 1/x^n + 1 from 0 to infinity

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Gaussian Integral [Int{e^-x^2} from -inf to inf]

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A Putnam Exam Integral from 1980

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4000 ELO BOT CRUSHED STOCKFISH

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