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4.8-5.5.txt
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What is Linear approximation?
L(x) = f(a) + f'(a)(x - a)
AntiDerivative of 1/x?
ln|x|
Antiderivative of cos x?
sin x
Antiderivative of sin x?
-cos x
Antiderivative of sec
^{2}
x?
tan x
Antiderivative of sec x tan x
sec x
Antiderivative of 1/ sqrt(1-x
^{2}
)
sin
^{-1}
x
Antiderivative of 1/1+x
^{2}
tan
^{-1}
x
What is the area under the curve?
The limit of the sum of the areas of approximating rectangles.
When does the define integral exist?
If f is continuous or if f has a finite number of jump discontinuities
What is the define integral?
The net area under a positive curve and above a negative curve
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)
What is the difference between define and indefinite integrals?
A define integral is a number, an indefinite integral is a function.
What is the indefinite integral?
The antiderivative
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
Description
Antiderivatives
Updated
2010-04-18T15:24:43Z
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