Lecture 6.1

Lecture 6.1 - Chapter 6 Integration Section 1...

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Chapter 6 Integration Section 1 Antiderivatives and Indefinite Integrals

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2 Barnett/Ziegler/Byleen Business Calculus 12e Learning Objectives for Section 6.1 Antiderivatives and Indefinite Integrals The student will be able to formulate problems involving antiderivatives. The student will be able to use the formulas and properties of antiderivatives and indefinite integrals. The student will be able to solve applications using antiderivatives and indefinite integrals.
3 Barnett/Ziegler/Byleen Business Calculus 12e The Antiderivative Many operations in mathematics have inverses. For example, division is the inverse of multiplication. The inverse operation of finding a derivative, called the antiderivative, will now command our attention. A function F is an antiderivative of a function f if F ( x ) = f ( x ).

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4 Barnett/Ziegler/Byleen Business Calculus 12e Examples Find a function that has a derivative of 2 x . Find a function that has a derivative of x . Find a function that has a derivative of x 2 .
5 Barnett/Ziegler/Byleen Business Calculus 12e Examples Find a function that has a derivative of 2 x . Answer:

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Lecture 6.1 - Chapter 6 Integration Section 1...

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