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1) Let R be the region in the first quadrant bounded by the y-axis, the x-axis, the graph of y=e^(x^2/2), and the line x=3. The

1) Let R be the region in the first quadrant bounded by the y-axis, the x-axis, the graph of y=e^(x^2/2), and the line x=3. The region R is the base of a solid. For the solid, each cross-section perpendicular to the x-axis is a rectangle of height x^2. What is the volume of the solid?

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