INTEGRAL CALCULUS
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INTEGRAL CALCULUS
Book Details
Publisher: Scientific International Pvt. Ltd.
Author: Mukesh Kumar
Language: English
Subject: Mathematics
Binding: Paperback
ISBN: 9789386800084
Copyright Year: 2022
About the Book
Integral Calculus is a comprehensive textbook designed to provide a clear and systematic understanding of integration and its applications. The book is organized into nine well-structured chapters, beginning with indefinite integration and covering various methods for evaluating integrals, including rational and irrational functions.
It progresses to definite integrals, summation of series, and reduction formulas, followed by detailed discussions on Beta and Gamma functions and their transformations. The text also covers multiple integrals in Cartesian and polar coordinates, change of order of integration, and applications including double and triple integrals as well as Dirichlet’s Integral.
Further chapters focus on improper integrals and their convergence, areas of curves, rectification, volumes and surfaces of solids of revolution, and differentiation under the integral sign using Leibnitz’s rule. The subject matter is presented in a clear, logical manner with emphasis on conceptual clarity and practical applications in science, engineering, and industry.
This book is ideal for undergraduate students of mathematics, engineering, and applied sciences who require a strong foundation in integral calculus.
