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Volume by shell integration

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September 28th, 2022

Use shells to find the volume of the solid formed by revolving the given region about the y-axis.

22) the region bounded by the curve y=SQRT(x), the y-axis, and the line y=1.

24) the region bounded by the parabolas y=x^2, y=1-x^2, and y axis for x≥0.

26) the region inside the ellipse 2(x-3)^2 + 3(y-2)^2 = 6 about the y axis.

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