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Calculus of parametric equations (finding surface area)

  1. Sep 21, 2005 #1
    I was wondering what the surface area would be when the curve:

    and y=e^tcost where (t) is greater than or equal to (0) and (t) is less
    or equal to pi divided by (2).
    when it is revolved about
    a) the x-axis
    b) the y-axis (approximation with calc. (how?))
  2. jcsd
  3. Sep 21, 2005 #2
    Around the x-axis you have:


    ...the y-axis you have:


    And I assume you can figure out what f(x) and dx are in terms of your parametric equations...
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