# A Calculus Exercise For the Sums of Integer Powers

by Joseph Wiener (University of Texas - Pan American)

Mathematics Magazine
October, 1992

Subject classification(s): Algebra and Number Theory | Number Theory
Applicable Course(s): 3.0 Calculus | 3.1 Mainstream Calculus I | 3.4 Non-mainstream Calc I

The author uses differentiation to obtain a standard formula for sums of the form $$1^k + 2^k + \ldots + n^k$$, where $$n$$ and $$k$$ are positive integers.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s): Sequences and Series | Special Sequences