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Today's calculation of Integral 663

Source:

January 10, 2011
calculusintegrationgeometrycalculus computations

Problem Statement

Given are the curve y=x2+x−2y=x^2+x-2 and a curve which is obtained by tranfering the curve symmetric with respect to the point (p, 2p)(p,\ 2p). Let pp change in such a way that these two curves intersects, find the maximum area of the part bounded by these curves. 1978 Nagasaki University entrance exam/Economics
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