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Today's calculation of Integral 151

Source: Yokohama National Uinversity entrance exam/engineering 200?

September 6, 2006
calculusintegrationconicsparabolageometrygeometric transformationrotation

Problem Statement

Let a, ba,\ b be positive constant numbers.Find the volume of the revolution of the region surrounded by the parabola y=ax2y=ax^{2} and the line y=bxy=bx about the line y=bxy=bx as the axis on xyxy plane.
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