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Area Under a Graph, dividing a zone into very small strips and summing the individual areas. The accuracy of the result is improved simply by making the strips smaller and smaller, taking the result towards some limiting value. In this chapter I show how integral Calculus provides a way to compute the area between a fAmendment 发表于 2025-3-22 14:05:47
Arc Length and Parameterisation of Curves,ed to compute the arc length of a continuous function. However, although the formula for the arc length results in a simple integrand, it is not always possible to integrate, and other numerical techniques have to be used.Amendment 发表于 2025-3-22 18:55:22
Surface Area, to compute surface areas and regions bounded by functions. Also in this chapter, we come across Jacobians, which are used to convert an integral from one coordinate system to another. To start, let’s examine surfaces of revolution.没血色 发表于 2025-3-22 22:16:23
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Tangent and Normal Vectors,or-valued functions and definitions for a tangent and normal vector. This includes an introduction to the grad operator, and how it is used to compute the gradient of a scalar field. I then show how these vectors are computed for a line, parabola, circle, ellipse, sine curve, cosh curve, helix, Bézihematuria 发表于 2025-3-23 09:35:24
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