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1. Find the volume of the solid obtained by rotating about the x-axis the region under the curve y = v x from 0 to

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1. Find the volume of the solid obtained by rotating about the x-axis the region under the curve y = v x from 0 to 1. Sketch the solid and explain how you form the integral that calculates the volume of the solid 2. Find the volume of a pyramid whose base is a square with side ' and whose height is h. Sketch the solid and indicate how you form the integral. 3. Find the volume of the solid obtained by rotating the region bounded by y = x* , y = x, and x 2 0 about the x-axis. Sketch the bounded region which will be rotated about the x-axis. 4. Find the exact length of the y = = X . 2 In x, when 1

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