A Treatise on the Integral Calculus with Applications, Examples and Problems

✍ Scribed by Joseph Edwards

• Publisher: Chelsea Publishing Co.
• Year: 1954
• Tongue: English
• Leaves: 945
• Edition: Reprint 1954
• Category: Library

✦ Table of Contents

Title Page
Preface
Table of Contents
Abbreviations used in the References.
CHAPTER I - NATURE OF THE PROBLEM. PRELIMINARY CONSIDERATIONS.
CHAPTER II - STANDARD FORMS.
CHAPTER III - CHANGE OF THE INDEPENDENT VARIABLE.
CHAPTER IV - INTEGRATION BY PARTS. POWERS OF SINES AND COSINES.
CHAPTER V - RATIONAL ALGEBRAIC FRACTIONAL FORMS.
CHAPTER VI - INTEGRALS OF FORMS: Int(1/(a + bcos(x) + csin(x))^n, dx)
CHAPTER VII - FURTHER REDUCTION FORMULAE.
CHAPTER VIII - FORM Int( F(x, Sqrt(R), dx), WHERE R IS QUADRATIC.
CHAPTER IX - GENERAL THEOREMS.
CHAPTER X - DIFFERENTIATION OF A DEFINITE INTEGRALWITH REGARD TO A PARAMETER.
CHAPTER XI - PRELIMINARY TO INTEGRATION OF Int(M/(N Sqrt(Q)), dx) WHERE Q IS A QUARTIC. DEFINITIONS OF ELLIPTIC FUNCTIONS.
CHAPTER XII - QUADRATURE (I).PLANE SURFACES. CARTESIANS AND POLARS.
CHAPTER XIII - QUADRATURE (II).
CHAPTER XIV - QUADRATURE (III).
CHAPTER XV - QUADRATURE (IV). MISCELLANEOUS THEOREMS.
CHAPTER XVI - RECTIFICATION (I).
CHAPTER XVII - RECTIFICATION (II). APPLICATION OF ELLIPTIC FUNCTIONS.
CHAPTER XVIII - RECTIFICATION (III). MISCELLANOUS THEOREMS.
CHAPTER XIX - MOVING CURVES.
CHAPTER XX - RECTIFCATION OF TWISTED CURVES.
CHAPTER XXI - VOLUMES OF REVOLUTION, ETC.
CHAPTER XXII - SURFACES AND VOLUMES IN GENERAL.
Answers to Examples and Problems.
Chelsea Scientific Books 1954