For 1-4, use the method of cylindrical shells to set up the integral of the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis or lines. You just need to set up the integral but do not evaluate it. 1. y = 4 − 2x, y = 0, x = 0; about the y-axis. 2. y = x 3 , y = 8, x = 0; about x = 3 3. x = 2y 2 , y ≥ 0, x = 2; about y = 2 4. x = 1 + (y − 2) 2 , x = 2; about the x-axis



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