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Math Help - Applications of Integration + SHM

  1. #1
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    Applications of Integration + SHM

    Hi, all. Ultra stuck on a few questions, and help would be much appreciated.

    - a) Show that x = Asin(3t + a), where A and a are constants, satisfies this differential equation.

    My working: ---- dx/dt = 3Acos(3t + a), (d^2x)/(dt^2) = -9Asin(3t + a), therefore = -9x
    Is this enough?
    Last edited by Gaarleaf; August 27th 2008 at 07:19 AM.
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  2. #2
    Eater of Worlds
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    #1: You can use shells or washers.

    Shells:

    2{\pi}\int_{-1}^{4}(y+1)\sqrt{4-y}dy

    Washers:

    {\pi}\int_{-\sqrt{5}}^{\sqrt{5}}(4-x^{2})^{2}-(-1)^{2}dx
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  3. #3
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    Shells?... Washers!?

    The integrals are helpful, ta!

    Any hints on the others?
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