# 4.8-5.5.txt

 The flashcards below were created by user Anonymous on FreezingBlue Flashcards. 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 sec2 x? tan x Antiderivative of sec x tan x sec x Antiderivative of 1/ sqrt(1-x2) sin-1 x Antiderivative of 1/(1+x2) 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 AuthorAnonymous ID14981 Card Set4.8-5.5.txt DescriptionReview of Integrals Updated2010-04-18T02:39:44Z Show Answers