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Analytical Geometry

Cool goIITian

Joined: 9 Jan 2012
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17 Jan 2012 14:47:51 IST
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ellipse
Mathematics

how to find the circumference of ellipse if length the major axis is a and the minor axix is b?


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Vishal U. Karve's Avatar

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Joined: 18 Jan 2012
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4 Feb 2012 20:58:17 IST
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It cannot be evaluated..it is called elliptical integral of second kind.

See:

http://www.ebyte.it/library/docs/math05a/EllipseCircumference05.html


Cool goIITian

Joined: 9 Jan 2012
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7 Feb 2012 11:07:49 IST
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why it cannot be evaluated
Vishal U. Karve's Avatar

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Joined: 18 Jan 2012
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7 Feb 2012 19:44:51 IST
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It cannot be evaluated in terms of functions already known to us.

We do not know the anti-derivative of the integrand.

So we define a function called elliptical integral of second kind:-the anti-derivative of the integrand.

There are other such functions too like.

= Sine integral (x)

The function "sine integral" on differentiating gives sin(x) / x




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