Excerpt from Elliptic Integrals

In the elementary calculus are found methods of integrating any rational expression involving under a square root Sign a quadratic in one variable; in the present work, which may be regarded as a somewhat more advanced calculus, we have to integrate Similar expressions where cubics and quartics in one variable occur under the root Sign. -whatever be the nature of these cubics and quartics, it will be seen that the integrals may be transformed into standard normal forms. Tables are given Of these normal forms, so that the integral in question may be calculated to any degree Of exactness re quired.

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