MathDB
Today's calculation of Integral 603

Source:

April 29, 2010
calculusintegrationderivativecalculus computations

Problem Statement

Find the minimum value of 01{x(a+bx)}2dx\int_0^1 \{\sqrt{x}-(a+bx)\}^2dx.
Please solve the problem without using partial differentiation for those who don't learn it.
1961 Waseda University entrance exam/Science and Technology