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Math Help - Converging integrals

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    Converging integrals

    Define what is meant by saying that the integral converges.
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    Quote Originally Posted by matty888 View Post
    Define what is meant by saying that the integral converges.
    That means it has a finite value. (Note: I am considering 0 to be a finite value. Some don't.)

    -Dan
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    It means that both of the limits \lim_{X\to\infty}\int_{-X}^0f(x)dx and \lim_{X\to\infty}\int_0^X\!\!f(x)dx exist (and then \int_{-\infty}^{\infty}f(x)dx is defined to be the sum of those limits).
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