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(y^3-arcsinx)(x^3+arcsin y)>=0 (IV Soros Olympiad 1997-98 Correspondence 11.2)

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June 1, 2024
inequalitiesalgebratrigonometryanalytic geometry

Problem Statement

Find the area of a figure consisting of points whose coordinates satisfy the inequality (y3−arcsinx)(x3+arcsiny)≥0.(y^3 - arcsin x)(x^3 + arcsin y) \ge 0.
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