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MathNet 2008-part-05 — 164 problems (EN–VI) Question 81

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 81

Find all $y \gt 1$ satisfying
$$
\int_{1}^{y} x \ln x \, dx = \frac{1}{4}.
$$