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Today's calculation of Integral 703

Source: 1976 Hitotsubashi University entrance exam/Law etc.

June 3, 2011
calculusintegrationconicsparabolageometryanalytic geometrycalculus computations

Problem Statement

Given a line segment PQPQ with endpoints on the parabola y=x2y=x^2 such that the area bounded by PQPQ and the parabola always equal to 43.\frac 43. Find the equation of the locus of the midpoint MM.
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