Explanation Given information: If g ' ( t ) is continuous, then ∫ a b g ' ( t ) d t = g ( b ) − g ( a ) . Concept used: If F ' ( t ) is continuous for a ≤ t ≤ b , then ∫ a b F ' ( t ) d t = F ( b ) − F ( a ) According to the fundamental theorem of calculus, If

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 5, Problem 42SYU

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Whether the statement “The Fundamental Theorem of Calculus says that if g'(t) is continuous, then ∫abg'(t)dt=g(b)−g(a) ” is true or false.

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Chapter 5, Problem 41SYU

Chapter 5, Problem 43SYU

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Chapter 5 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

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To indicate: Whether the statement “The Fundamental Theorem of Calculus says that if g ' ( t ) is continuous, then ∫ a b g ' ( t ) d t = g ( b ) − g ( a ) ” is true or false.

Solution Summary: The author explains that the fundamental theorem of calculus states that if g'(t) is continuous, then the given statement is true.

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To indicate:

Whether the statement “The Fundamental Theorem of Calculus says that if g'(t) is continuous, then ∫abg'(t)dt=g(b)−g(a) ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate: Whether the statement “The Fundamental Theorem of Calculus says that if g ' ( t ) is continuous, then ∫ a b g ' ( t ) d t = g ( b ) − g ( a ) ” is true or false.

Solution Summary: The author explains that the fundamental theorem of calculus states that if g'(t) is continuous, then the given statement is true.

Videos

To indicate: Whether the statement “The Fundamental Theorem of Calculus says that if g'(t) is continuous, then ∫abg'(t)dt=g(b)−g(a) ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate:

Whether the statement “The Fundamental Theorem of Calculus says that if g'(t) is continuous, then ∫abg'(t)dt=g(b)−g(a) ” is true or false.