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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- Apr 2nd 2008, 01:41 PMAceofSpadesElliptic Integral
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}

$ - Apr 2nd 2008, 02:06 PMtopsquark
- Apr 2nd 2008, 02:26 PMAceofSpades
Forgive me for my ignorance, I am an amateur at math.

Yes, I would like a numerical evaluation. - Apr 2nd 2008, 04:08 PMmr fantastic