chap08 - Contents 8 Further Applications of Integration 8.1...

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Contents8.Further Applications of Integration18.1.Arc length28.2.Area of a surface of revolution78.3.Applications to physics and engineering108.Further Applications of IntegrationWe have studied techniques of integration and some applications ofintegrals. In this chapter, we will learn more geometric applicationsof integration as well as quantities of interest in physics, engineering,economics and biology:the length of a curve.the area of a surface of revolution.hydrostatic force and pressure, moments and centers of mass.1
28.1.Arc length.Text Section 8.1,Exercise: 11, 15, 25, 33, 37.We know how to calculate the length of a straight line.For apolygon, we can easily find its length by adding the lengths of theline segments that form the polygon.Q: How to define the length of a general curve?
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