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Im trying to estimate a semicircle or ellips of a kind with an integral.

And right now i'm trying to get the integral of a ellips.

I need to integrate the equation

[itex]x(\theta)[/itex] = [itex]\int_0^{\pi/2} \frac {d\theta}{a\sqrt{1-sin^2(\theta)/b^2}}[/itex]

I tried http://integrals.wolfram.com/index.jsp?expr=1/sqrt(1-sin^2(x)/b^2)&random=false" but i dont understand the result or how to integrate the result.

Thanks for any help

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# Integration of an ellips

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