(Solved): Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=7x2-x^3 a ...

Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=7x2-x^3 and y=0. (a) A typical shell has radius x, circumference 2pix and height f(x) (b) So, by the shell method, the volume is (c) Evaluate the integral: