textbook-theory · English
Difference Equations to Differential Equations: Section 4.7 More on Area
Section 4.7 of Dan Sloughter's open calculus textbook extends the definite integral to computing areas of regions bounded by two curves, treating both x-axis and y-axis formulations. The section derives the area formula via Riemann sum limits and works through several examples involving polynomial, trigonometric, and radical functions. A fourteen-problem exercise set follows, culminating in a Simpson's rule application for estimating lake surface area.
calculusdefinite integralarea between curvesRiemann sums