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Math Help - Elliptic Integral

  1. #1
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    Elliptic Integral

    I would appreciate any help with evaluating this integral.

    <br />
\int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt<br /> <br />

    Where e is the eccentricity of an Ellipse

    <br />
e^2 = \frac {a^2 - b^2}{a^2}<br />
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  2. #2
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    Quote Originally Posted by AceofSpades View Post
    I would appreciate any help with evaluating this integral.

    <br />
\int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt<br /> <br />

    Where e is the eccentricity of an Ellipse

    <br />
e^2 = \frac {a^2 - b^2}{a^2}<br />
    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
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  3. #3
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    Forgive me for my ignorance, I am an amateur at math.

    Yes, I would like a numerical evaluation.
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  4. #4
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    Quote Originally Posted by AceofSpades View Post
    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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