HOW FAR DID I TRAVEL?: The Fundamental Theorem of Calculus

HOW FAR DID I TRAVEL?: The Fundamental Theorem of Calculus

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Magenta Press, Sep-2017
ISBN: 9877877788880
Language: English

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Description

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function with the concept of integrating a function.

The first part of the theorem, sometimes called the first fundamental theorem of calculus, states that one of the antiderivatives (also called indefinite integral), say F, of some function f may be obtained as the integral of f with a variable bound of integration. This implies the existence of antiderivatives for continuous functions.

Conversely, the second part of the theorem, sometimes called the second fundamental theorem of calculus, states that the integral of a function f over some interval can be computed by using any one, say F, of its infinitely many antiderivatives. This part of the theorem has key practical applications, because explicitly finding the antiderivative of a function by symbolic integration allows for avoiding numerical integration to compute integrals.

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Publisher Magenta Press
ISBN 9877877788880
Publishing Date 06-Sep-2017
Language English
Territorial Rights
Worldwide

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This eBook is available in the following formats:

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Format Type Adobe DRM EPUB
Language English
Digital Rights Management Implemented
Reading Allowed
Copying Not Allowed
Printing Not Allowed
Expiration Never Expire
Software Requirements Adobe Digital Edition Ver 1.7
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