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3 B d The following integral may be evaluated by using integration by parts. Notes: • powers can be entered using ^ A • to divide, use / The product-5 In(4x) must be written in the form u Determine u, and u du du dz U= V= - 5 In(42) dz in(4x) -5x << 11 II 1/X -5

3 B d The following integral may be evaluated by using integration by parts. Notes: • powers can be entered using ^ A • to divide, use / The product-5 In(4x) must be written in the form u Determine u, and u du du dz U= V= - 5 In(42) dz in(4x) -5x << 11 II 1/X -5

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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d 3 d The following integral may be evaluated by using integration by parts. Notes: powers can be entered using ^ A • to divide, use / du The product -5 In(4x) must be written in the form u du du du Determine u, and u b) Apply the integration by parts formula: 16= V= In(4x) Judr fudr = II -5x -5 ln(4x) dr UV >> 4= -S -S 1/x -5 dz dz
Transcribed Image Text:d 3 d The following integral may be evaluated by using integration by parts. Notes: powers can be entered using ^ A • to divide, use / du The product -5 In(4x) must be written in the form u du du du Determine u, and u b) Apply the integration by parts formula: 16= V= In(4x) Judr fudr = II -5x -5 ln(4x) dr UV >> 4= -S -S 1/x -5 dz dz
c) Hence write down the indefinite integral: -5 ln (42) dr. (Don't forget the constant of integration as this is an indefinite integral.) -5x 1n(4x) +5x+c -5x ln(4x) + 5x+c x
Transcribed Image Text:c) Hence write down the indefinite integral: -5 ln (42) dr. (Don't forget the constant of integration as this is an indefinite integral.) -5x 1n(4x) +5x+c -5x ln(4x) + 5x+c x
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