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Thread: Improper integral (convergent/divergent)

  1. August 25th 2010, 01:56 PM #1
    SyNtHeSiS
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    Improper integral (convergent/divergent)

    Determine whether \int_{-\infty}^{\infty} xe^{-x^2}dx is convergent or divergent. Evaluate it if it is convergent. I tried using integration by parts, but failed to integrate e^{-x^2}.
    Last edited by SyNtHeSiS; August 26th 2010 at 02:56 AM.
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  2. August 25th 2010, 02:09 PM #2
    Defunkt
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    You don't need integration by parts.
    The substitution u=x^2 will easily solve this.
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  3. August 25th 2010, 03:47 PM #3
    Ted
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    Its = 0
    unless the lower limit is -infinity.
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