I hope this isn't too simple for the maths forum.(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to find the length of the locus described by the bottom of a garage door as it is raised. It's all fairly straightforward until I have to integrate a function of the form

√ (sin^{2}θ + k cos^{2}θ)

k does not depend on θ. I tried several approaches to the problem and always came back to the above function.

In the end I integrated numerically and got my number which checks with reality. There's probably some nifty substitution but just I can't find it.

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# Trig function appears awkward to integrate

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