# Indefinite integral for the square root of a quartic function

## Main Question or Discussion Point

I arrived at this problem while trying to find the length of a 3D http://en.wikipedia.org/wiki/Cubic_interpolation" [Broken].

Basically, I'm having to figure out how to integrate ((At4+Bt3+Ct2+Dt+E)1/2)dt

A,B,C,D, and E are constants which have to be plugged in after integration, I'm sorry to say.

All the reduction formulas I've seen use quadratic functions of some kind, so would I have to convert the quartic function into some kind of quadratic function?

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