Abstract

In this paper we suggest a new approach for a definition of definite integral of a real function in the first course in Mathematical Analysis. The definite integral exists if for any sequence of partitions, the upper sum and the lower sum of Darboux have the same limit. If the definite integral of a real function exists, then we can simply compute it, as a limit of a sequence of integral sums of Riemann.

Keywords: Definite integral; upper and lower sum of Darboux; Riemann sum.

Pages:  29$-$34     

Volume  XVI ,  Issue  1 ,  2013