Integral Calculus Vol.1 THE INDEFINITE INTEGRAL by DEMETRIOS P. KANOUSSIS Ph.D
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Overview: When differentiating a function we find the derivative of the function. The theory of the derivatives and its applications in the investigation of the functions is covered in Differential Calculus. The fundamental problem of Integral Calculus is the inverse problem, i.e. given the derivative of a function to find the function. The solution of this inverse problem, (the integration of a given function), is of great importance in Mathematics, Physics and Engineering in general. However, this problem (integration) is more complicated as compared to the problem of differentiation. In very general terms we may say that integrals are classified as either Indefinite Integrals (functions) or as Definite Integrals (numbers). These two integrals are connected by the so called “Fundamental Theorem of Calculus”. In this first volume we cover the Indefinite Integrals. The Definite Integrals will be studied in details, in a second volume, to appear soon.This book was written to provide an essential assistance to students who are first being introduced to the fundamentals of Integrals and has been designed to be an excellent supplementary textbook for University and College students in all areas of Mathematics, Physics and Engineering.
Genre: Non-Fiction > Educational
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