MathDB
Today's calculation of Integral 240

Source: Kyoto University entrance exam/Science , Problem 1, 1st Round, 1990

October 17, 2007
calculusintegrationgeometryderivativeanalytic geometrycalculus computations

Problem Statement

2 curves y \equal{} x^3 \minus{} x and y \equal{} x^2 \minus{} a pass through the point P P and have a common tangent line at P P. Find the area of the region bounded by these curves.