MATHEMATICAL PHYSIOLOGY INTEGRAL CALCULUS

9/9/97


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Table of Contents

MATHEMATICAL PHYSIOLOGY INTEGRAL CALCULUS

TWO RELATED APPROACHES

THE ANALYTICAL DEFINITION OF THE DEFINITE INTEGRAL: GRAPH

THE ANALYTICAL DEFINITION OF THE DEFINITE INTEGRAL: GRAPH DETAIL

THE ANALYTICAL DEFINITION OF THE DEFINITE INTEGRAL: ANALYSIS

THE INDEFINITE INTEGRAL AS THE INVERSE OF DIFFERENTIATION

THE DIFFERENCE OF ANY TWO PRIMATIVES OF A GIVEN FUNCTION IS A CONSTANT

THE DIFFERENCE OF ANY TWO PRIMATIVES OF A GIVEN FUNCTION IS A CONSTANT: PROOF

RELATION OF THE DEFINITE INTEGRAL TO THE INDEFINITE INTEGRAL

RELATION OF THE DEFINITE INTEGRAL TO THE INDEFINITE INTEGRAL: NUMBER VS FUNCTION

GENERAL RULES FOR INTEGRATION

PERFORMING INTEGRATION

RECOGNIZING THE INTEGRAND AS A DERIVATIVE

TRIGONOMETRIC FUNCTIONS

THE METHOD OF SUBSTITUTION

THE METHOD OF SUBSTITUTION: EXAMPLE

INTEGRATION BY PARTS

INTEGRATION BY PARTS: EXAMPLE

RECURRANCE FORMULAE

THE AVERAGE VALUE OF A FUNCTION

Author: Donald C. Mikulecky

Email: mikulecky@gems.vcu.edu

Home Page: http://views.vcu.edu/~mikuleck/