4.8-5.5.txt

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Author:
kariefury
ID:
15038
Filename:
4.8-5.5.txt
Updated:
2010-04-18 11:24:43
Tags:
math
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Description:
Antiderivatives
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  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

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