HENSTOCK-KURZWEIL INTEGRAL ON [a,b]
ABSTRACT: The theory of the
Riemann integral was not fully satisfactory. Many important functions do not
have a Riemann integral. So, Henstock and Kurzweil make the new theory of
integral. From the background, the writer will be research about
Henstock-Kurzweil integral and also theorems of Henstock- Kurzweil Integral.
Henstock- Kurzweil Integral is generalized from Riemann integral. In this case
the writer uses research methods literature or literature study carried out by
way explore, observe, examine and identify the existing knowledge in the
literature. In this thesis explain about partition which used in
HenstockKurzweil Integral, definition and some property of Henstock- Kurzweil
Integral. And some properties of Henstock- Kurzweil integral as follows: value
of the Henstock- Kurzweil integral is unique, linearity of the Henstock-Kurzweil
integral, Additivity of the Henstock-Kurzweil integral, Cauchy criteria,
nonnegativity of Henstock-Kurzweil integral and primitive function.
Author: Siti Nurul Afiyah
Journal Code: jpmatematikagg110005
