![]() ![]() Since the region under the curve has such a strange shape, calculating its area is too difficult. Such an area is often referred to as the “area under a curve.” For example, the below purple shaded region is the region above the interval $$ and under the graph of a function $f$. Given a function $f(x)$ where $f(x) \ge 0$ over an interval $a \le x \le b$, we investigate the area of the region that is under the graph of $f(x)$ and above the interval $$ on the $x$-axis. Please e-mail any correspondence to Duane Koubaīy clicking on the following address About this document. Your comments and suggestions are welcome. PROBLEM 15 : Use the limit definition of definite integral to evaluateĬlick HERE to see a detailed solution to problem 15.Ĭlick HERE to return to the original list of various types of calculus problems. ![]() Use an arbitrary partitionĬlick HERE to see a detailed solution to problem 14.
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