|Feb17-13, 07:07 AM||#1|
Trig function appears awkward to integrate
I hope this isn't too simple for the maths forum.
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
√ (sin2θ + k cos2θ)
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.
|Feb17-13, 07:32 AM||#2|
See at the elliptic functions.
|Feb17-13, 08:56 AM||#3|
Thank you very much indeed. That looks like the clue I need. (As you've probably gathered I'm an Engineer and not a mathematician.)
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