Calculus 2 Chapter 5.1 - 5.3 Flashcards
Define area (3 definitions)
A region or part of a town, a country or the world
The extent or measurement of a surface or piece of land
A subject or range of activity or interest.
1 Definition? Hint: The area of approximating rectanges
Check example 10 in 5.1
2 Definition? Hint: Definite integral of f from a to b
Check example 2 in 5.2
For example 3 on 5.2, what is integral sign? Integrand? Limits of integration? Lower limit? Upper limit? Riemann sum?
Check example 3 on 5.2
Define integration
The procedure of calculating an integral is called integration
What are the three facts on example 4 in 5.2?
Check example 4 in 5.2
What are 6 must know on example 5 in 5.2? Hint: “i”
Check example 5 in 5.2
Prove example 8 in 5.2
Check example 8 in 5.2
What is the midpoint rule?
Check example 9 in 5.2
What are the two definitions of example 11 in 5.2?
Check example 11 in 5.2
Prove example 16 in 5.2
Check example 16 in 5.2
If f is continuous on [a,b], or if f has only a finite number of jump discontinuities, ….
If f is continuous on [a,b], or if f has only a finite number of jump discontinuities, then f is integrable on [a,b].
4 Theorem? Hint: Integrable
Check #4 in example 5.5 in chapter 5.2
What are the four properties of the integral?
Check example 12 in chapter 5.2
What are three comparison properties of the integral?
Check example 15 in chapter 5.2
