Today's calculation of Integral 233
Source: Yokohama City University entrance exam 1966
October 9, 2007
calculusintegrationtrigonometryderivativecalculus computations
Problem Statement
Find the minimum value of the following definite integral.
\int_0^{\pi} (a\sin x \plus{} b\sin 3x \minus{} 1)^2\ dx.