Explanation Given: Integral ∫ ln x x d x . Formula Used: Integration by Substitution: Let w be inside function and d w = w ′ ( x ) d x = d w d x d x , then express the integrand in terms of w . Calculation: Given the integral as ∫ ln x x d x Let ln x = t Derivate both sides with respect to t . 1 x d x = d t Integral ∫ ln x x d x can be substituted by t and d t as shown below

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 6.6, Problem 3P

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The substitution can be used to find antiderivative for below integral.

∫lnxxdx

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Chapter 6.6, Problem 2P

Chapter 6.6, Problem 4P

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Chapter 6 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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The substitution can be used to find antiderivative for below integral. ∫ ln x x d x

Solution Summary: The author explains that substitution can be used to find the antiderivative of the given integral.

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To explain:

The substitution can be used to find antiderivative for below integral.

∫lnxxdx

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Chapter 6 Solutions

The substitution can be used to find antiderivative for below integral. ∫ ln x x d x

Solution Summary: The author explains that substitution can be used to find the antiderivative of the given integral.

Videos

To explain: The substitution can be used to find antiderivative for below integral. ∫lnxxdx

Want to see the full answer?

Chapter 6 Solutions

To explain:

The substitution can be used to find antiderivative for below integral.

∫lnxxdx