How to test this improper integral for convergence? – math.stackexchange.com

How to test this improper integral for convergence? – math.stackexchange.com

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I'm supposed to test for convergence the following integral $$\int_1^{\infty}\frac{\ln x}{x\sqrt{x^2-1}}dx$$ I have tried using the comparison test with two different integrals but I've failed. I also ...

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