MathDB
Today's calculation of Integral 256

Source: 1970 The University of Electro-Communications entrance exam

December 30, 2007
calculusintegrationtrigonometrycalculus computations

Problem Statement

Find the value of a a for which \int_0^{\pi} \{ax(\pi ^ 2 \minus{} x^2) \minus{} \sin x\}^2dx is minimized.