June 2003
Intermediate to advanced
576 pages
18h 29m
English
Content preview from Mathematics for Electrical Engineering and ComputingBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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7
Integration
7.1 Introduction
In Chapter 6, we saw that many physical quantities are related by one being the rate of change, the derivative, of the other. It follows that there must be a way of expressing the ‘inverse’ relationship. This is called integration. Velocity is the rate of change of distance with time, distance is the integral of velocity with respect to time.
Unfortunately, there are two issues that complicate the simple idea that ‘integration is the inverse of differentiation'. First, we find that there are many different functions which are the integral of the same function. Luckily, these functions only differ from each other by a constant. To find all the possible integrals of a function we can find any one of them and add on some ...
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