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What is Linear approximation?
L(x) = f(a) + f'(a)(x - a)
AntiDerivative of 1/x?
Antiderivative of cos x?
Antiderivative of sin x?
Antiderivative of sec
Antiderivative of sec x tan x
Antiderivative of 1/ sqrt(1-x
Antiderivative of 1/(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?
What is the Net Change Theorem?
The definite integral of a rate of change is the net change
Review of Integrals