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Evaluate the integral

  1. May 12, 2010 #1
    1. The problem statement, all variables and given/known data

    [tex]\int e^{2x^2}dx[/tex]

    2. Relevant equations

    3. The attempt at a solution

    i found [tex]\frac{e^{2x^2}}{4x}+c[/tex]

    correct ?
  2. jcsd
  3. May 12, 2010 #2


    User Avatar
    Science Advisor

    Not correct. Try differentiating your proposed solution to see if it gives back what you started with. When you apply the quotient rule, you will see that one term gives what you want, but there will be an extra term
  4. May 12, 2010 #3


    Staff: Mentor

    And furthermore, the integral you show doesn't have an elementary antiderivative. If you know about Maclaurin series, though, you can write the Maclaurin series for e2x2, and then integrate it term by term.
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