339

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 339

Source: 1963 Tokyo Metropolitan University entrance exam

Find the minimum area of the part bounded by the parabola y\equal{}a^3x^2\minus{}a^4x\ (a>0) and the line y\equal{}x.

calculusintegrationgeometryconicsparabolacalculus computations