MathDB
Today's calculation of Integral 346

Source: 1981 Shibaura Institute of Technology entrance exam

June 20, 2008
calculusintegrationgeometryquadraticsgeometric transformationcalculus computations

Problem Statement

Suppose that two curves C_1 : y\equal{}x^3\minus{}x, C_2 : y\equal{}(x\minus{}a)^3\minus{}(x\minus{}a) have two intersection points. Find the maximum area of the figure bounded by C1, C2 C_1,\ C_2.