I would appreciate any help with evaluating this integral. $\displaystyle \int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt $ Where e is the eccentricity of an Ellipse $\displaystyle e^2 = \frac {a^2 - b^2}{a^2} $
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Originally Posted by AceofSpades I would appreciate any help with evaluating this integral. $\displaystyle \int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt $ Where e is the eccentricity of an Ellipse $\displaystyle e^2 = \frac {a^2 - b^2}{a^2} $ Since you are aware this is an elliptic integral, you know that this can not be done exactly, right? Are you asking for a good numerical method to do this? -Dan
Forgive me for my ignorance, I am an amateur at math. Yes, I would like a numerical evaluation.
Originally Posted by AceofSpades Forgive me for my ignorance, I am an amateur at math. Yes, I would like a numerical evaluation. Then you'll need a numerical value for the eccentricity.
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