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Topic: error in an integral, Rubi 4.3, QuotientOfLinearsParts error
Replies: 10   Last Post: Dec 9, 2013 5:44 PM

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Albert D. Rich

Posts: 255
From: Hawaii Island
Registered: 5/30/09
Re: error in an integral, Rubi 4.3, QuotientOfLinearsParts error
Posted: Dec 9, 2013 5:44 PM
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On Monday, December 9, 2013 11:47:13 AM UTC-10, Axel Vogt wrote:

> Still curious: _is_ there a 'closed' form?

Yes. To find a closed form antiderivative of sqrt(1+t+t^4) wrt t, use the formula for solving quartic equations to factor 1+t+t^4 into a product of 4 linears, then use piecewise constant extraction to transform the integrand into a product of 4 square-roots of linears, which is integrable in terms of elliptic integrals.


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