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The figure below shows the solid generated by revolving about the r-axis the region bounded by the curve 4 y = x2 +4' the

 

The figure below shows the solid generated by revolving about the r-axis the region bounded by the curve 4 y = x2 +4' the x-axis and the lines r = 0 and x = 2. Determine the volume of the solid. Hint: Use a trigonometric substitution to evaluate the volume integral. 4 y = - x? + 4 2

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