Need help with an integral

Emma8472

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Dec 9, 2018
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4P1iMapSzagAAAABJRU5ErkJggg==


So for further context I'm finding the arc length of a parametric curve. With x = 1-2cos(t) and y=2+3sin(t) from t=0 to t=2pi. So I took the derivative for each and plugged it into the arc length formula. But now I'm struggling with the integral. I tried simplifying it to

YWgqjtqREQszlRhRkTE6iTMiIiWSZgREa3yQf4DUsgLH6PCy7oAAAAASUVORK5CYII=

But I'm equally stuck with that integral
 
4P1iMapSzagAAAABJRU5ErkJggg==


So for further context I'm finding the arc length of a parametric curve. With x = 1-2cos(t) and y=2+3sin(t) from t=0 to t=2pi. So I took the derivative for each and plugged it into the arc length formula. But now I'm struggling with the integral. I tried simplifying it to

YWgqjtqREQszlRhRkTE6iTMiIiWSZgREa3yQf4DUsgLH6PCy7oAAAAASUVORK5CYII=

But I'm equally stuck with that integral

Welcome to the real world. You have encountered an Elliptic Integral. Numerical evaluation? Series approximation? What are your alternatives?
 
4P1iMapSzagAAAABJRU5ErkJggg==


So for further context I'm finding the arc length of a parametric curve. With x = 1-2cos(t) and y=2+3sin(t) from t=0 to t=2pi. So I took the derivative for each and plugged it into the arc length formula. But now I'm struggling with the integral. I tried simplifying it to

YWgqjtqREQszlRhRkTE6iTMiIiWSZgREa3yQf4DUsgLH6PCy7oAAAAASUVORK5CYII=

But I'm equally stuck with that integral
Links are not working.
 
I can't see them, either.

@Emma8472L Could you please repost them? Thanks!

-Dan
 
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