From: Albert_Rich@msn.com   
      
   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.   
      
   Albert   
      
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