Henstock-Kurzweil Integral on [a,b]

Henstock-Kurzweil Integral on [a,b]

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The theory of the Riemann integral was Set of 4 Mugs 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 Treatments - Cold way explore, observe, examine and identify the existing knowledge in the literature.In this thesis explain about partition which used in Henstock- Kurzweil 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.