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antiderivative of y = 1/x^3 (II Soros Olympiad 1995-96 R2 11.1)

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June 3, 2024
calculusalgebraintegrationIntegral

Problem Statement

Find some antiderivative of the function y=1/x3y = 1/x^3, the graph of which has exactly three common points with the graph of the function y=xy = |x|.