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Math Help - Compute this integral.

  1. #1
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    Compute this integral.

    Integral from plus to minus infinity of x(1/3)^x with repect to x.

    thanks
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  2. #2
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    Quote Originally Posted by feyomi View Post
    Integral from plus to minus infinity of x(1/3)^x with repect to x.

    thanks
    \int_{-\infty}^{\infty} x \cdot 3^{-x} \, dx = \int_{-\infty}^{0} x \cdot 3^{-x} \, dx + \int_{0}^{\infty} x \cdot 3^{-x} \, dx<br />

    should be easy to show the integral from -\infty to 0 diverges
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