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Today's calculation of Integral 714

Source: 1978 Osaka City University entrance exam

June 25, 2011
calculusintegrationgeometrycalculus computations

Problem Statement

Find the area enclosed by the graph of a2x4=b2x2y2 (a>0, b>0).a^2x^4=b^2x^2-y^2\ (a>0,\ b>0).