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Notation: Describe the meanings of each of the following mathematical expressions or how they are commonly used in this chapter:

abf(x)dx

Short Answer

Expert verified

Let f be a function defined on an interval [a, b]. The definite integral of f from x=ato x=bis defined to be the number,

abf(x)dx=limnk=1nfxk*x

if this limit exists.

Step by step solution

01

Step 1. Given information.  

We are given an expression,

abf(x)dx

02

Step 2. Defining the expression  

Let f be a function defined on an interval [a, b]. The definite integral of f from x=atox=b is defined to be the number,

abf(x)dx=limnk=1nfxk*x

if this limit exists, where x=b-an,xk=a+kx, and xk*is any choice of point in xk-1,xk.

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