O'Reilly logo

The Calculus Lifesaver by Adrian Banner

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

CHAPTER 16 _____________________________

Definite Integrals

Now it’s time to get some facts straight about definite integrals. First we’ll give an informal definition in terms of areas; then we’ll use our ideas about partitions from the previous chapter to tighten up the definition. After one (exhausting) example of applying the tightened-up definition, we’ll see what else we can say about definite integrals. More precisely, we’ll look at the following topics:

• signed areas and definite integrals;

• the definition of the definite integral;

• an example using this definition;

• basic properties of definite integrals;

• using integrals to find unsigned areas, the area between two curves, and areas between a curve and the y-axis;

• estimating definite ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required