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Integral Question

  1. Oct 14, 2014 #1
    1. The problem statement, all variables and given/known data

    Int from 0 to 5:

    te^(-e)dt

    2. Relevant equations


    3. The attempt at a solution


    I did the integration by parts and got:

    (-t)e^(-1)-e^05+e^0

    I got it incorrect: "Variable 't' is not defined in this context"
     
  2. jcsd
  3. Oct 14, 2014 #2

    SteamKing

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    Just to be clear, are you trying to evaluate:

    $$\int_{0}^{5} t(e)^{-e}dt$$

    because if you are, this is a very trivial integral.
     
  4. Oct 14, 2014 #3

    Dick

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    That message means that there should be no variable t in the final answer. It's a definite integral.
     
  5. Oct 14, 2014 #4

    Mark44

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    Is the above a typo?
    Could this be your integral?
    $$\int_0^5 te^{-t}dt$$
     
  6. Oct 14, 2014 #5
    Yeah. That's what it looks like.
     
  7. Oct 14, 2014 #6

    Mark44

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    @mshiddensecret, try to be more careful when you post. SteamKing and Dick were unable to help you because of this mistake.
     
  8. Oct 14, 2014 #7

    SteamKing

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    Just a suggestion: Use the Preview button to check your posts before submission. It's helped me avoid more than a few mistakes.
     
  9. Oct 15, 2014 #8

    Mark44

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    Show us the work you did in integrating by parts...
     
  10. Oct 15, 2014 #9

    RUber

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    I agree with Mark44, it seems like you went wrong somewhere in the integration by parts.
    ## \int_a^b u dv = \left. uv \right|_a^b - \int_a^b v du ##
    The first term in your answer above looks like you may have misinterpreted ##\left. uv \right|_a^b##
    Did you use ## u = t, \, dv = e^{-t}dt##?
     
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