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MathNet 2020 — Math Olympiad Vault — Part 05 Question 2

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05

Question 2

(a) Evaluate $\int_1^2(1/x-\arcsin(1/x))\,dx$.
(b) Compare $\pi/6$ and $\ln((2+\sqrt3)/2)$.