Integration of some very elementary functions. (English) Zbl 0782.26001

Mařík, Jan

Math. Bohem. 118, No. 2, 201-217 (1993).

The author provides explicit formulas for primitives of functions of the type: \(P/\sqrt g\) and \(Q/(f^ m\sqrt g)\), where \(f\), \(g\) are polynomials (with real coefficients) of degree 1 or 2; \(P\), \(Q\) are real polynomials with \({\deg Q\over\deg f}< m\), where \(m\in\mathbb{N}\); \(f\) has imaginary roots if it is not linear; \(g\) is not a square.
The procedures do not involve any imaginary numbers and are rather simple and operative. Some examples are also presented.

Reviewer: A.Salvadori (Perugia)

MSC:

26A09

Elementary functions

Keywords:

integration; elementary functions; primitives