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Integral Calculus
Abstract
This chapter is devoted to integral calculus. This includes two different integrals, namely definite and indefinite integrals. After finding integration of several elementary functions that we met in Chapter 3, we introduce some methods for integrating functions that have wrapped forms. Various applications of integration will be given throughout this chapter in particular, area, volume of a bounded area and length of an arc of a curve. We also call the Mean Values Theorems as an optional part for integration. We define improper integrals which can be used in finance and the continuous random variables in Chapter 12. For evaluating some definite integrals which cannot be evaluated by methods discussed in calculus, we described two numerical methods for such a task.
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