CHAPTER THREEIntegral Calculus

In this chapter you will learn about:

  • Antiderivatives and the indefinite integral;
  • Integrating a variety of functions;
  • Some applications of integral calculus;
  • Finding the area under a curve;
  • Definite integrals with applications;
  • Multiple integrals.

The previous chapter was devoted to the first major branch of calculus—differential calculus. This chapter is devoted to the second major branch—integral calculus. The two branches have different natures: differential calculus has procedures that make it possible to differentiate any continuous function; integral calculus has no such general procedures—every problem presents a fresh puzzle. Nevertheless, integral calculus is essential to all of the sciences, ...

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