Explanation Given: Function as f ( x ) = 4 x . Formula Used: As per the fundamental theorem of calculus, if f is continuous on the interval [ a , b ] and F ( x ) is antiderivative of f , then ∫ a b f ( x ) d x = F ( b ) − F ( a ) Calculation: Curve is given as follows f ( x ) = 4 x And, the interval is [ 1 , b ] . The value of f ( x ) = 4 x between [ 1 , b ] is calculated by calculating the integral. ∫ 1 b f ( x ) d x = ∫ 1 b ( 4 x ) d x = 4 ∫ 1 b ( x ) d x Using fundamental theorem of calculus to calculate the integral, we g

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 6.3, Problem 30P

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Use the fundamental theorem of calculus to find the value of b if the area under the graph of f(x)=4x between x=1 and x=b is 240, given that b>0.

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Chapter 6.3, Problem 29P

Chapter 6.3, Problem 31P

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Use the fundamental theorem of calculus to find the value of b if the area under the graph of f ( x ) = 4 x between x = 1 and x = b is 240 , given that b > 0 .

Solution Summary: The author explains how the fundamental theorem of calculus calculates the value of b by calculating the integral.

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Use the fundamental theorem of calculus to find the value of b if the area under the graph of f(x)=4x between x=1 and x=b is 240, given that b>0.

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Chapter 6 Solutions

Use the fundamental theorem of calculus to find the value of b if the area under the graph of f ( x ) = 4 x between x = 1 and x = b is 240 , given that b &gt; 0 .

Solution Summary: The author explains how the fundamental theorem of calculus calculates the value of b by calculating the integral.

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Use the fundamental theorem of calculus to find the value of b if the area under the graph of f(x)=4x between x=1 and x=b is 240, given that b>0.

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Chapter 6 Solutions

Use the fundamental theorem of calculus to find the value of b if the area under the graph of f ( x ) = 4 x between x = 1 and x = b is 240 , given that b > 0 .