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Antiderivative: The Indefinite integral

DUY TAN UNIVERSITY. Teacher: Nguyen Thi Le Nhung. Antiderivative: The Indefinite integral. 3. Practical applications. 1. Antiderivative. 2. Rules for integrating common functions. DUY TAN UNIVERSITY. Antiderivative. 1. Antiderivative. A function F ( x ) for which

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Antiderivative: The Indefinite integral

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  1. DUY TAN UNIVERSITY Teacher: Nguyen Thi Le Nhung Antiderivative: The Indefinite integral 3. Practical applications 1. Antiderivative 2. Rules for integrating common functions

  2. DUY TAN UNIVERSITY Antiderivative 1. Antiderivative A function F(x) for which For every x in the domain of f is said to be an antiderivative of f(x). Example 1: Find f(x) such as F(x) is an antidervitative of f(x).

  3. DUY TAN UNIVERSITY Antiderivative Fundamental Property of Antiderivative If F(x) is an antiderivative of the continuous function f(x), any other antiderivative of f(x) has form F(x) +C for some constant C. We will represent the family of all antiderivatives of f(x) by using the symbolism Which is called the indefinit integral of f.

  4. DUY TAN UNIVERSITY Section 1: Functions. 2. Rules for integrating

  5. DUY TAN UNIVERSITY Section 1 : Functions. 3. Practical applications Example 1 It is estimated that x months from now the population of a certain town will be changing at the rate of people per month. The current population is 3000. What will be the population 4 months from now?

  6. DUY TAN UNIVERSITY Thank you for listening!

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