the distance between 2 points on a curve C=xy

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So I am no mathematician and have a curve the equation of which is $y=c/x$, or $c= xy$ where $c$ is a constant. I want to calculate the length of the curve between two points but my maths is not sufficient to be able to get beyond the equation for the integral.

I have $$\int \sqrt{1+ (c/x)^2} dx$$ but stuck at that point.

Anyone fancy helping out?