Open Question: Integral Problem! 10 Points Go!?

I've got: Integral from pi/4 to Infinity of (4+cos (4x))/(x^3)dx

This is an example of Convergence, but I don't know how to solve it. Any help, even some kind of basic outline is appreciated. Better yet, if you can lead me through all the steps, that would help out a lot. Thanks SO much!

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