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Dy multiplied by y (order matters?)

  1. Jul 16, 2014 #1
    Hey all, this is my first post here,

    I have a question that is kind of annoying me: I came across this equation:

    dT=1/2 * [(m/L)dy]*[yx/L]^2. Only y is a variable here

    I need to integrate it, but my question is do I change the location of the dy and solve it as: ∫y^2 dy? I believe that this is what is done in the book but im not sure if this is correct.

    Any help will be appreciated. :D
  2. jcsd
  3. Jul 16, 2014 #2


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    Science Advisor

    Yes, it becomes an integral of the form ##\int k\,y^2\,dy## for some constant ##k##, calculated from the parameters in the problem. ##dy## is considered as a differential and its location can be changed without problem.
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