In the picture below, you will find a shaded region bounded between the curves y = 4x and y = x³. Set up and solve an integral to find the volume of the resulting solids described in the problems below. y4 8 6 4 2 y = 4x y=x²³ 1. Use the Shell Method to set-up and solve an integral to find the volume of the solid obtained by rotating the shaded region about the x - axis. Use the Fundamental Theorem of Calculus to solve the integral and use a fraction involving ‘pi’ in your final answer.

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