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Am I doing this integration problem right?

  1. Apr 12, 2009 #1
    1. The problem statement, all variables and given/known data
    Hello, I am struggling with an integration problem.

    e ^ x ^ (5/3)

    2. Relevant equations

    Um.

    3. The attempt at a solution

    So I know the integral of x^(5/3) is (3/8)x^(8/3). But when I am trying to integrate the whole thing, with e in it, do I just treat x^(5/3) like a constant? Or do I still have to integrate it?

    Possible solutions: e^x^(5/3)
    or
    e^(3/8)x^(8/3)
    or
    something else... please help....
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 12, 2009 #2
    Take a close look at the problem. Does it appear to be (e^x)^(5/3) or is it e^(x^(5/3))?

    The first is relatively easy (simplify and substitute). If in doubt, I'd assume this interpretation.

    The second is really, really ugly. I can't figure out how to do it, my TI-89 chokes on it, and Maple spits out the following gibberish:
    output.png
    so I'm guessing it's not really solvable by hand using first/second-year calculus techniques.
     
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