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Hi all.

Please take a look at this:

[tex]\int_{ - \infty }^\infty {x \cdot \exp } \left( { - \left| x \right|} \right){\rm{d}}x = \left. {\left( { - \exp \left( { - \left| x \right|} \right) \cdot x} \right)} \right|_{ - \infty }^\infty + \int_{ - \infty }^\infty {\exp \left( { - \left| x \right|} \right){\rm{d}}x}[/tex]

When evaluating with infinity, does the first time equal zero or infinity? I mean does the exponential function "win" (and then the terms goes to zero) or does x win (and the term the n goes to infinity)?

The integral is supposed to equal zero.

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# Homework Help: Evaluating integrals with infinity as boundary

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