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Today's calculation of Integral 165

Source: created by kunny

October 25, 2006
calculusintegrationgeometrycalculus computations

Problem Statement

On x−yx-y plane, let C:y=2006x3−12070102x2+⋯ .C: y=2006x^{3}-12070102x^{2}+\cdots. Find the area of the region surrounded by the tangent line of CC at x=2006x=2006 and the curve C.C.
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