MathDB
Today's calculation of Integral 136

Source: Tokyo Institute of technology entrance exam 1992

August 10, 2006
calculusintegrationgeometryconicsparabolaanalytic geometrygraphing lines

Problem Statement

Let cc be the constant number such that c>1.c>1.Find the least area of the figure surrounded by the line passing through the point (1, c)(1,\ c) and the palabola y=x2y=x^{2} on xyx-y plane.