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Evaluate the antiderivative as a Taylor Series

  1. May 6, 2013 #1
    1. The problem statement, all variables and given/known data

    Evaluate the anti derivative ∫e^x^2 dx as a Taylor Series

    2. Relevant equations

    [itex]\frac{f^(n)(a)}{n!}[/itex](x-a)^n

    3. The attempt at a solution
    Where do I start, Im not sure I understand the question
     
  2. jcsd
  3. May 6, 2013 #2

    SammyS

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    You need to include an attempt at solving the problem, before anyone can help you.

    What is the Taylor series for ex ?
     
  4. May 6, 2013 #3

    Ray Vickson

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    What is the integrand? Is e^x^2 supposed to be ##(e^x)^2##, or is it ##e^{x^2}?## If you mean the first one, what you have written is correct (but it would still be better to use parentheses and write (e^x)^2); if you mean the second one it is essential to use parentheses, like this: e^(x^2).
     
    Last edited: May 6, 2013
  5. May 6, 2013 #4

    SammyS

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    This thread has been closed until OP gives an appropriate response.
     
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