What is the most appropriate for: 1. u? a. u = x10 b. u = x-10 c. u = ln x 2. dv? a. dv = x10 dx b. dv = x-10 dx c. dv = ln x dx 3. du? a. du = 1/9 x-9 b. du = 1/x c. du = -(1/9)x-9 4. expression for v? a. v = 1/x b. v = -(1/9)x-9 c. v = (1/9)x-9 5. equivalent antiderivative of the given
What is the most appropriate for: 1. u? a. u = x10 b. u = x-10 c. u = ln x 2. dv? a. dv = x10 dx b. dv = x-10 dx c. dv = ln x dx 3. du? a. du = 1/9 x-9 b. du = 1/x c. du = -(1/9)x-9 4. expression for v? a. v = 1/x b. v = -(1/9)x-9 c. v = (1/9)x-9 5. equivalent antiderivative of the given
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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Question
Consider the following integral:
∫ (ln x/x10) dx
What is the most appropriate for:
1. u?
a. u = x10
b. u = x-10
c. u = ln x
2. dv?
a. dv = x10 dx
b. dv = x-10 dx
c. dv = ln x dx
3. du?
a. du = 1/9 x-9
b. du = 1/x
c. du = -(1/9)x-9
4. expression for v?
a. v = 1/x
b. v = -(1/9)x-9
c. v = (1/9)x-9
5. equivalent antiderivative of the given integral?
a. -(1/9x9)ln x - (1/81x9) + C
b. -(1/9x9)ln x + (1/81x9) + C
c. -(1/9x9) - (1/81x9) ln x+ C
d. -(1/9x9) + (1/81x9) ln x + C
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