603

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 603

Source:

Find the minimum value of

\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

calculusintegrationderivativecalculus computations