To prove: The arc length of y = ln ( f ( x ) ) for a ≤ x ≤ b is ∫ a b f ( x ) 2 + f ' ( x ) 2 f ( x ) d x

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Answer 1

Question

Chapter 9.2, Problem 30E

To determine

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

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Answer 2

Question

Chapter 9.2, Problem 30E

To determine

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

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Answer 3

Question

Chapter 9.2, Problem 30E

To determine

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

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Answer 4

Question

Chapter 9.2, Problem 30E

To determine

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

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Answer 5

Chapter 9.2, Problem 30E

To determine

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

Answer 6

Chapter 9.2, Problem 30E

To determine

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

Answer 7

Chapter 9.2, Problem 30E

To determine

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

To prove: The arc length of y = ln ( f ( x ) ) for a ≤ x ≤ b is ∫ a b f ( x ) 2 + f ' ( x ) 2 f ( x ) d x

Solution Summary: The author proves that the arc length of y = ln is a b f ( x ).

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To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$

Want to see the full answer?

Chapter 9 Solutions

To prove: The arc length of y = ln ( f ( x ) ) for a ≤ x ≤ b is ∫ a b f ( x ) 2 + f ' ( x ) 2 f ( x ) d x

Solution Summary: The author proves that the arc length of y = ln is a b f ( x ).

Concept explainers

Videos

To prove: The arc length of y=ln(f(x)) for a≤x≤b is ∫abf(x)2+f'(x)2f(x)dx

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Chapter 9 Solutions

To prove:

The arc length of $y = \ln (f (x))$ for $a \leq x \leq b$ is $\int_{a}^{b} \frac{\sqrt{f {(x)}^{2} + f^{'} {(x)}^{2}}}{f (x)} d x$