Integral from plus to minus infinity of x(1/3)^x with repect to x. thanks
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Originally Posted by feyomi Integral from plus to minus infinity of x(1/3)^x with repect to x. thanks $\displaystyle \int_{-\infty}^{\infty} x \cdot 3^{-x} \, dx = \int_{-\infty}^{0} x \cdot 3^{-x} \, dx + \int_{0}^{\infty} x \cdot 3^{-x} \, dx $ should be easy to show the integral from $\displaystyle -\infty$ to $\displaystyle 0$ diverges
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