Differential and Integral Calculus Theory and Cases


Author(s): Carlos Polanco *

Pp: 125-137 (13)

DOI: 10.2174/9789811465123120010015

* (Excluding Mailing and Handling)


This chapter studies the antiderivative function and its relation with the integral operator. The Fundamental Theorem of Calculus is reviewed and different integration techniques are exemplified. The series of functions named Fourier series and their application to geometrically approximate a function is also studied here.

Keywords: Antiderivative, Average value of a function, Fourier series Fundamental Theorem of Calculus, Improper integration, Integration by parts, Integration by substitution, Integration using Maps, Movement on a Line, Partial fraction decomposition, Techniques of antidifferentiation, Trigonometric integrals.

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