Antiderivatives

Jul 22, 2012

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Mika Sepp?l?: Antiderivatives. Antiderivative. Definition. A function F is an antiderivative of a function f if F'=f.. Theorem. Assume that f is continuous on an interval (a,b). If F1 and F2 are both antiderivatives of the function f on the interval (a,b), then there is a constant C

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Antiderivatives

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1. Antiderivatives Definition of AntiderivativesTable of AntiderivativesRole of the Additive ConstantAntiderivatives GraphicallySlope Fields

2. Mika Sepp�l�: Antiderivatives Antiderivative

ANTIDERIVATIVES AND INDEFINITE INTEGRATION

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Antiderivatives

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Antiderivatives and Indefinite Integrals

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D4 - Antiderivatives

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Section 4.8 - Antiderivatives

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Section 15.1 - Antiderivatives

Section 15.1 - Antiderivatives. Antiderivatives. Definition A function F(x) is called an antiderivative of f(x) if F ′( x ) = f ( x ) . Examples: What’s the antiderivative of f(x) = 1/x ? What’s the antiderivative of g(x) = 2x ? What’s the antiderivative of h(x) = 4 ?.

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ANTIDERIVATIVES AND INDEFINITE INTEGRATION

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4 .9 Antiderivatives

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Antiderivatives (7.4, 8.2, 10.1)

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7.1: Antiderivatives

DERIVATIVES. 7.1: Antiderivatives. Objectives: To find the antiderivative of a function using the rules of antidifferentiation To find the indefinite integral To apply the indefinite integral. Up until this point, we have done problems such as: f(x)= 2x +7, find f’(x)

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Antiderivatives

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4.1A Antiderivatives

4.1A Antiderivatives. A function F is the Antiderivative of f if F  ( x ) = f ( x ) for all x. Ex 1 : Find the Antiderivative:. Power Rule:. NOTE: see pg. 250 for more Antiderivative Rules. Ex 2 : Find all functions g such that:. Ex 3 : Evaluate. Ex 4 : Evaluate. y.

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Section 4.9 Antiderivatives

Applications of Differentiation. Section 4.9 Antiderivatives. Introduction. A physicist who knows the velocity of a particle might wish to know its position at a given time.

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Antiderivatives

Antiderivatives. 5.1. Discovery of Power Rule for Antiderivatives. If f ‘ (x) = Then f(x) =. If f ‘ (x) = Then f(x) =. If f ‘ (x) = Then f(x) =. If f ‘ (x) = Then f(x) =. Differentiation. Integration. The process of finding a derivative. The process of finding the antiderivative.

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ANTIDERIVATIVES AND INDEFINITE INTEGRATION

ANTIDERIVATIVES AND INDEFINITE INTEGRATION. Section 4.1. When you are done with your homework, you should be able to…. Write the general solution of a differential equation Use indefinite integral notation for antiderivatives Use basic integration rules to find antiderivatives

182 views • 16 slides

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