# 4.8-5.5.txt

The flashcards below were created by user kariefury on FreezingBlue Flashcards.

1. What is Linear approximation?
L(x) = f(a) + f'(a)(x - a)
2. AntiDerivative of 1/x?
ln|x|
3. Antiderivative of cos x?
sin x
4. Antiderivative of sin x?
-cos x
5. Antiderivative of sec2 x?
tan x
6. Antiderivative of sec x tan x
sec x
7. Antiderivative of 1/ sqrt(1-x2)
sin-1 x
8. Antiderivative of 1/1+x2
tan-1 x
9. What is the area under the curve?
The limit of the sum of the areas of approximating rectangles.
10. When does the define integral exist?
If f is continuous or if f has a finite number of jump discontinuities
11. What is the define integral?
The net area under a positive curve and above a negative curve
12. What is the Evaluation Theorem?
The definite integral of f(x) from points a to b is equal to the antiderivative F(b) - antiderivative F(a)
13. What is the difference between define and indefinite integrals?
A define integral is a number, an indefinite integral is a function.
14. What is the indefinite integral?
The antiderivative
15. What is the Net Change Theorem?
The definite integral of a rate of change is the net change
 Author: kariefury ID: 15038 Card Set: 4.8-5.5.txt Updated: 2010-04-18 15:24:43 Tags: math Folders: Description: Antiderivatives Show Answers: