(All Steps) Use the method of the Cylindrical Shells to compute the following volume: x=y^3-y^4, x=0; around the line y =
Question: Use the method of the Cylindrical Shells to compute the following volume:
\(x={{y}^{3}}-{{y}^{4}},\,x=0\); around the line y = -2.
Deliverable: Word Document 
![[Solution] Find the volume outside of the](/images/solutions/MC-solution-library-35637.jpg "[Solution] Find the volume outside of the paraboloid (but inside")
[Solution] Find the volume outside of the paraboloid (but inside
![[Steps Shown] Set up the integral to](/images/solutions/MC-solution-library-35638.jpg "[Steps Shown] Set up the integral to compute the arc length y=x^5/2,")
[Steps Shown] Set up the integral to compute the arc length y=x^5/2,
(Steps Shown) Set up the integral to compute the arc length for
![[See Solution] Set and simplify the integral](/images/solutions/MC-solution-library-35640.jpg "[See Solution] Set and simplify the integral that computes the")
[See Solution] Set and simplify the integral that computes the
![[Solution Library] Find the length of the](/images/solutions/MC-solution-library-35641.jpg "[Solution Library] Find the length of the arc x=(y^4)/(8)+(1)/(4y^2)")
[Solution Library] Find the length of the arc x=(y^4)/(8)+(1)/(4y^2)
Area and Volume of a Cylinder - MathCracker.com