可入到 发表于 2025-3-21 18:07:38
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Ningqi Luo,Binheng Song,Yinxu Pan,Bin ShenOur treatment of limits up to this point has been rather casual. Now, having learned some differential and integral calculus, you should be prepared to appreciate a more detailed study of limits.Modicum 发表于 2025-3-22 06:55:19
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Applications of Integration,Our applications of integration in Chapter 4 were limited to area, distance-velocity, and rate problems. In this chapter, we will see how to use integrals to set up problems involving volumes, averages, centers of mass, work, energy, and power. The techniques developed in Chapter 7 make it possible to solve many of these problems completely.Graduated 发表于 2025-3-22 14:06:31
Further Techniques and Applications of Integration,Besides the basic methods of integration associated with reversing the differentiation rules, there are special methods for integrands of particular forms. Using these methods, we can solve some interesting length and area problems.Graduated 发表于 2025-3-22 20:38:07
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Shutao Li,Chen Liao,James T. Kwokrtant general techniques: integration by substitution and integration by parts. As the techniques for evaluating integrals are developed, you will see that integration is a more subtle process than differentiation and that it takes practice to learn which method should be used in a given problem.