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Natural Logarithm Integral

Calculus Level 3

Compute the definite integral \[\int_{0}^{1} (x\ln x)^{50} \, dx.\]

\[\dfrac{51!}{50^{50}}\] \[\dfrac{50!}{49^{51}}\] \[\dfrac{50!}{51^{51}}\] \[\dfrac{49!}{50^{51}}\]

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by Sameer Kailasa

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