ABSTRACT
Calculus, that powerful mathematical tool first developed by Isaac Newton and
Gottfried Leibnitz in the 1600s, has two basic formulations: differential and
integral. While both are important in the study of advanced mathematics, both are
also central to much of engineering analysis and are put to a range of very practical
tasks. In this and the next chapter the focus will be on integral calculus and the task
of finding areas under curves or volumes under a surface.