Topics in Integral Calculus

This book covers the syllabus of the universities of India. It has been written in a simple and lucid language, as if a teacher is teaching the subject to his students in a friendly manner. Written primarily from an examinee's point of view, the subject of this book has been presented in an easy-to-understand way. For this reason, a step which may seem difficult to a beginner, has been explained in a footnote under the heading "How to Write this Step" or "Why this Step". The chapters of this book include Integrals, Integration by Substitution, Integration by Parts, Integration of Rational Algebraic Functions, Integration of Irrational Algebraic Functions, Integration of Trigonometric Functions, Reduction Formulae, Definite Integrals, Rectification and Intrinsic Equation, Quadrature, Volume and Surface of a Solid of Revolution, Differential Equations of the First Order and First Degree and Linear Equations with Constant Coefficients. All the chapters contain miscellaneous examples. The Articles and Examples which are important from the Examination point of view have been printed in bold type. A chapter-wise list of all the important results and formulae to be remembered by the students has been prefixed to the book for ready reference and occasional review. The book has been made useful for all types of students-ordinary, average and brilliant.

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