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Today's calculation of Integral 182

Source: Tokyo University entrance exam/Humanities, Problem 1, 2007

February 26, 2007
calculusintegrationgeometryalgebrafunctiondomaininequalities

Problem Statement

Find the area of the domain of the system of inequality y(y−∣x2−5∣+4)≤0,  y+x2−2x−3≤0.y(y-|x^{2}-5|+4)\leq 0,\ \ y+x^{2}-2x-3\leq 0.
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