(adsbygoogle = window.adsbygoogle || []).push({}); Integration by parts not working for a particular integral

When I attempt to use the method of integration by parts on the below integral, I don't get anywhere since I only arrive at the statement a = -b +b -a where a is the integral and b is the boundary term.

[itex]\int e^{-x}\text{Cos}[k x]dx=-e^{-x}(-\text{Cos}[k x])-\left(-e^{-x}(-\text{Cos}[k x])-\int e^{-x}\text{Cos}[k x]dx\right)[/itex]

Do you know of another method I could use to evaluate this integral?

Thanks

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# Integration by parts not working for a particualr integral

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