Today's calculation of Integral 266
Source: 1982 Waseda University entrance exam
January 17, 2008
calculusintegrationgeometryinequalitiesvectortrigonometrygeometric transformation
Problem Statement
Find the area of the region expressed by the system of inequality \frac{x^2}{4}\plus{}y^2\leq 1,\ \left(1\plus{}\frac{\sqrt{3}}{2}\right)x\plus{}y\leq 1.