Elegant Mathematics.pdf

This research paper covers an integral that can be solved by any calculus 2 student using trigonometric substitution. But I used complex analysis leveraging Euler's formula to solve it. Also I provided a proof for the famous Euler identity without using Taylor Series.

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.6084/m9.figshare.28448876.v1
Primary Topic
Advanced Mathematical Theories
Type
article
Field-Weighted Citation Impact
0.00
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Elegant Mathematics.pdf

Figshare
Advanced Mathematical Theories
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Elegant Mathematics.pdf

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Abstract

This research paper covers an integral that can be solved by any calculus 2 student using trigonometric substitution. But I used complex analysis leveraging Euler's formula to solve it. Also I provided a proof for the famous Euler identity without using Taylor Series.

Figshare
Openalex Percentile: Top 53%
Advanced Mathematical Theories
DOISourceOpenAlex
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Elegant Mathematics.pdf · Figshare (2025) | TGRS Research Map | TGRS