I am in doubt about convergence of the folowing improper integration:(adsbygoogle = window.adsbygoogle || []).push({});

+infinite

/

\ x * sin(kx) dx; (k is real)

/

0

sorry about my sign of integration! I promisse that I will learn how to post correctly!

I used the intuition:

sin is periodic and bounded and x is unbounded. In my intuition this integration diverges. Bur I need rational answer, intuition in mathematics is something of nothing.

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# Homework Help: Diverge? homework help

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