(#3) Find the volume of the solid generated by f(x) =x° and f(x) = 4x-x° rotating about the y-axis:

Find the volume of the solid of a revolution bounded by the graphs of f(x) = – x² + 5x – 4 and y = 0 rotated about the y-axis. V =

Let the functions f (x) = (x - 5)? and g(x) = x² + x + 3. Determine an integral which makes it possible to calculate the volume of the solid of revolution (without calculating the integral) generated by the rotation of the surface S delimited by f(x), g(x) and the axis of y around: (a) of the x-axis (b) of the y axis (c) of the y axis = 3 You have to sketch the situation for each letter and sketch the solid.