MathDB
Today's calculation of Integral 167

Source: Tokyo University entrance exam/Science 1982

November 11, 2006
calculusintegrationinequalitiesalgebrafunctiondomaingeometry

Problem Statement

In xyzxyz plane find the volume of the solid formed by the points (x, y, z)(x,\ y,\ z) satisfying the following system of inequalities. 0≤z≤1+x+y−3(x−y)y, 0≤y≤1, y≤x≤y+1.0\leq z\leq 1+x+y-3(x-y)y,\ 0\leq y\leq 1,\ y\leq x\leq y+1.
Back to ProblemsView on AoPS