on 1. Complete the following computation a' In(8x)dx via integration by parts f(x) = In(8x) and g'(x) = x7

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Recall the integration by parts formuala:
Question 1. Complete the following computation
Jx' In(8x)dx via integration by parts. S
f(x) = In(8x) and g'(x) = x"
1. Find f'(x) and g(x) where g(x) has no constant term:
1
f'(x)
g(x) =
8
2. Using the integration by parts formula, G(x) should be simplified.
In(8x)dx
= F(2) – (G(2)dz
F(x) =
In(8x)
G(x) =
a In(8z)
F(z) — Н(х) + с
H(x)
Transcribed Image Text:Recall the integration by parts formuala: Question 1. Complete the following computation Jx' In(8x)dx via integration by parts. S f(x) = In(8x) and g'(x) = x" 1. Find f'(x) and g(x) where g(x) has no constant term: 1 f'(x) g(x) = 8 2. Using the integration by parts formula, G(x) should be simplified. In(8x)dx = F(2) – (G(2)dz F(x) = In(8x) G(x) = a In(8z) F(z) — Н(х) + с H(x)
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