# Math Help - Elliptic Integral

1. ## Elliptic Integral

I would appreciate any help with evaluating this integral.

$
\int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt

$

Where e is the eccentricity of an Ellipse

$
e^2 = \frac {a^2 - b^2}{a^2}
$

I would appreciate any help with evaluating this integral.

$
\int_0^\frac {\pi}{2} \sqrt{1 - e^2sin^2t}~dt

$

Where e is the eccentricity of an Ellipse

$
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

3. Forgive me for my ignorance, I am an amateur at math.

Yes, I would like a numerical evaluation.