Geodesic
A simplified multidimensional integral
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 721-739.

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We present a simplified integral of functions of several variables. Although less general than the Riemann integral, most functions of practical interest are still integrable. On the other hand, the basic integral theorems can be obtained more quickly. We also give a characterization of the integrable functions and their primitives.
Classification : 26B15, 28A10, 28A35
Keywords: integral of several variables; characterization of primitives 
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     title = {A simplified multidimensional integral},
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Backhausz, Ágnes M.; Komornik, Vilmos; Szilágyi, Tivadar. A simplified multidimensional integral. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 721-739. http://geodesic.mathdoc.fr/item/CMJ_2009__59_3_a12/