Calculus of Integration and Some Applications

The integrals discussed in this text book are termed as indefinite, definite, and improper integrals. It is written primarily for students who have completed the standard first course in calculus to provide them with an intensive study of the different techniques of integration and some of its geometric applications. It uses the student's knowledge on geometric aspects of curves borrowed from calculus of differentiation to enable them investigate and measure how geometric sizes like; arc-lengths, areas, areas of revolution, volumes, and volumes of revolutions can be evaluated. It maintains the accessibility of a complete study, supplies students the requested explanation on how to apply different techniques to evaluate the undertaken integration, provides them a thorough understanding of anti-derivative; the reverse procedure of finding derivative, focuses, and expands discussion on many types of problem solving to supplement the content of the text but professional skill is necessary to take full advantage of this comprehensive text. This text book is also supplied with sufficient illustrated figures, adequate number of examples and exercises that meet quality standard.