MathDB
Today's calculation of Integral 82

Source: 2004 Osaka University of Education Entrance Exam

September 10, 2005
calculusintegrationlogarithmsinequalitiesfunctioncalculus computations

Problem Statement

Let 0<a<b0<a<b.Prove the following inequaliy. 1b−a∫ab(ln⁡bx)2dx<2\frac{1}{b-a}\int_a^b \left(\ln \frac{b}{x}\right)^2 dx<2
Back to ProblemsView on AoPS