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

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.

MSC:

26A09 Elementary functions
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