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Homework Help: Using comparison theorem to show if an integral is convergent or divergent

  1. Apr 14, 2012 #1
    1. The problem statement, all variables and given/known data
    use the comparison theorem to show that the integral of e^(-x^2) from 0 to infinity is convergent.

    2. Relevant equations

    3. The attempt at a solution
    In class we have never dealt with using the comparison theorem with the exponential function so I was not sure what I function I would compare it to in order to solve this problem. Could I compare it to something like e^(-x)?
  2. jcsd
  3. Apr 14, 2012 #2


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    Science Advisor
    Homework Helper
    Gold Member

    Sure. Just show that is a larger integral which converges.
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