Business Mathematics

CHAPTER 18

Applications of Integral Calculus to Business

18.1  INTRODUCTION

The process of evaluating an integral of a function is called integration. Integration is also the inverse process of differentiation.

If the differential coefficient of a function f(x) is g(x), i.e., if (d/dx) (f(x)) = g(x)

Then f(x) is said to be an integral or an anti-derivative or a primitive of g(x) The same can be expressed in the form

 

∫g(x)dx = f(x)

where ∫ is the symbol for integration, g(x) is the integrand and dx integration with respect to x: f(x) - outcome.

Integrand

The function to be integrated is referred to as integrand. The element dx is known as the element of integration and it specifies that variable with respect to which the given function is to ...