@article {MATHEDUC.06618967,
author = {Hristova, Yulia and Zeytuncu, Yunus E.},
title = {Why do we need the derivative for the surface area?},
year = {2016},
journal = {PRIMUS. Problems, Resources, and Issues in Mathematics Undergraduate Studies},
volume = {26},
number = {5},
issn = {1051-1970},
pages = {393-405},
publisher = {Taylor \& Francis, Philadelphia, PA},
doi = {10.1080/10511970.2015.1095263},
abstract = {Summary: Surface area and volume computations are the most common applications of integration in calculus books. When computing the surface area of a solid of revolution, students are usually told to use the frustum method instead of the disc method; however, a rigorous explanation is rarely provided. In this note, we provide one by using geometric observations and the Squeeze Theorem.},
msc2010 = {I55xx (I45xx)},
identifier = {2016e.00835},
}