Explanation Given: d d x ∫ 0 x e − t 2 d t Concept Used: The Fundamental Theorem of Calculus: Let F be any anti-derivative, or indefinite integral, for f on [ a , b ] . If f is a continuous function and is defined by F ( x ) = ∫ a x f ′ ( t ) d t Then, F ′ ( x ) = f ( x ) , and therefore d d x ∫ a x f ( t ) d t = f ( x )

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Chapter 4.7, Problem 38S

To determine

To calculate the derivative

ddx∫0xe− t 2dt

Using the Fundamental Theorem of Calculus.

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Chapter 4.7, Problem 37S

Chapter 4.7, Problem 39S

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To calculate the derivative d d x ∫ 0 x e − t 2 d t Using the Fundamental Theorem of Calculus.

Solution Summary: The author explains the Fundamental Theorem of Calculus. Let F be any anti-derivative, or indefinite integral, for f on left[a,bright].

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To calculate the derivative

ddx∫0xe− t 2dt

Using the Fundamental Theorem of Calculus.

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Chapter 4 Solutions

To calculate the derivative d d x ∫ 0 x e − t 2 d t Using the Fundamental Theorem of Calculus.

Solution Summary: The author explains the Fundamental Theorem of Calculus. Let F be any anti-derivative, or indefinite integral, for f on left[a,bright].

Videos

To calculate the derivative ddx∫0xe− t 2dt Using the Fundamental Theorem of Calculus.

Want to see the full answer?

Chapter 4 Solutions

To calculate the derivative

ddx∫0xe− t 2dt

Using the Fundamental Theorem of Calculus.