Let R be the region bounded by y =x² and y = 4. Compute the volume of the solid formed by revolving R about the given line. a) y = 4 (b) the y-axis (c) y = 6 (d) y = -2 (e) x = 2 (f) x = -4

find the anti-derivative and use the disk method for (a), (b)

find the anti-derivative and use the washer method for (c), (d), (e), (f)

Please show each step