Volume of revolution, region bounded by two functions

[Kqwert]

Homework Statement

Let R be the area in the xy-plane in the 1st quadrant which is bounded by the curves y^2+x^2 = 5, y = 2x and x = 0. (y-axis). Let T be the volume of revolution that appears when R is rotated around the Y axis. Find the volume of T.

Homework Equations

The Attempt at a Solution

This is the integral I have put up, using the cylindrical shell method:

int(x*(sqrt(5-x^2)-2x)*2pi)dx from 0 to 1. Is this the correct integral?

 

[mjc123]

Looks right to me.