Finding the right approach to a trigonometry problem

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gif.latex?\int%20\frac{1}{x^2\sqrt{x^2+4}}dx.gif


So I'm not really sure how to go about this problem. I've attempted letting x = a few things. 4sinx, and 4tanx. Maybe trig substitution is not even the way to go. Could someone push me in the right direction?
 

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Yes x=2tanθ should work. Try it out and post back if you do not get through.