Consider the region bounded between y = 3 + 2x - x^2 and y =...

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Consider the region bounded between y = 3 + 2x - x^2 and y = e^x+ 2 . Include a sketch of the region (labeling key points) and useit to set up an integral that will give you the volume of the solidof revolution that is obtained by revolving the shaded regionaround the x-axis, using the... (a) Washer Method (b) Shell Method(c) Choose the integral that would be simplest to integrate by handand integrate and evaluate that integral, showing all steps.

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