MathDB
Today's calculation of Integral 862

Source: 1969 Hitotsubashi University entrance exam

January 27, 2013
calculusintegrationanalytic geometrygraphing linesslopeconicsparabola

Problem Statement

Draw a tangent with positive slope to a parabola y=x2+1y=x^2+1. Find the xx-coordinate such that the area of the figure bounded by the parabola, the tangent and the coordinate axisis is 113.\frac{11}{3}.
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