73

Part of 2005 Today's Calculation Of Integral

Problems(1)

Today's Calculation of Integral 73

Source: 1994 Kyusyu University

Find the minimum value of

\int_0^{\pi} (a\sin x+b\sin 2x+c\sin 3x-x)^2\ dx

calculusintegrationtrigonometryvectorfunctionderivativecalculus computations