On the fundamental theorem of calculus

University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

Author: Jesper Singh; [2015]

Keywords: Fundamental theorem of calculus; Gauge integral; Riemann integral;

Abstract: The Riemann integral has many flaws, some that becomes visible in the fundamental theorem of calculus. The main point of this essay is to introduce the gauge integral, and prove a much more suitable version of that theorem.

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