American Review of Mathematics and Statistics

Applying Euler’s Formula to Integrate e^(aθ)sin(bθ) and e^(aθ)cos(bθ)
Dr. Korey Kilburn

Abstract
The dreaded “integration by parts” can be seen as a calculus student’s worst nightmare, since it can often cause difficulties to new students. Students commonly miss the significance of understanding imaginary numbers, since these topics are often overlooked or even skipped in most algebra and calculus courses.. In this article, I examine an efficient method to integrate functions of the forms: e^(aθ)sin(bθ) and e^(aθ)cos(bθ) by using Euler’s formula and complex numbers with the goal of giving students an alternative to integrating by parts for functions of these forms.

Full Text: PDF     DOI: 10.15640/arms.v7n2a1