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Homework Help: Opinion? Solids of Revolution/Integration Techniques

  1. Dec 22, 2009 #1
    1. The problem statement, all variables and given/known data

    Hey everyone. In my calc course I need to create (or find on the web) a problem and apply the below two concepts that I learned in the class.

    Concepts:
    Solids of Revolution.
    Integration Techniques: Parts, Substitution, or Partial Fractions.

    2. Relevant equations

    The problem I chose was:

    http://curvebank.calstatela.edu/volrev/vase7.gif



    3. The attempt at a solution

    Well, the question I am asking is basically if this equation I found can be solved using one of the Integration Techniques. I was thinking Parts. Would that be right?
     
  2. jcsd
  3. Dec 22, 2009 #2

    rock.freak667

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    Homework Helper

    Just expand it out. Then use the double angle formula for cos2x, to replace sin2x
     
  4. Dec 22, 2009 #3
    So One of the Integration Techniques can't be used, then?
     
  5. Dec 22, 2009 #4

    rock.freak667

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    Homework Helper

    Integration by parts might make it more complex, substitution, I don't think will work and you can't split it into partial fractions.
     
  6. Dec 22, 2009 #5
    Well, cruds.

    Thank you! I'm off to find another problem then I guess. They did say I could also choose arc lengths. Maybe I'll go with that...
     
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