id: 06307614
dt: j
an: 2014d.00743
au: Shekutkovski, Nikita
ti: Definition of the definite integral.
so: Teach. Math. 16, No. 1, 29-34 (2013).
py: 2013
pu: ,
la: EN
cc: I55
ut: Darboux integral; Riemann integral; definite integral
ci:
li:
ab: Summary: 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.
rv: