Finding volume using integration

  1. 1. The problem statement, all variables and given/known data
    Given x=y^2, x=1 what is the area of the solid when the area between the two curves is rotated about x=1.

    3. The attempt at a solution
    I attached my solution and according to the answer key my area formula (pi-pi*y^4) is wrong. Instead they have pi*(1-y^2)^2. Can anyone explain why my area formula is wrong? I thought that it was the area of the upper boundary curve minus the area of the lower boundary curve...

    Attached Files:

  2. jcsd
  3. SammyS

    SammyS 9,257
    Staff Emeritus
    Science Advisor
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    What method are you trying to use? Is it disks? ... or is it shells?
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