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For each of the following integrals, indicate whether integration by substitution or integratio 1. fx sin x da OA. substitution B. neither OC. integration by parts 2. f 1 da 1+z³ A. integration by parts B. substitution OC. neither 3. f x²e²³ dx O A. neither B. substitution OC. integration by parts 4. f x² cos(x³) dx O A. neither B. integration by parts OC. substitution 5. √ √2+1 da f dx OA. integration by parts OB. substitution OC. neither

For each of the following integrals, indicate whether integration by substitution or integratio 1. fx sin x da OA. substitution B. neither OC. integration by parts 2. f 1 da 1+z³ A. integration by parts B. substitution OC. neither 3. f x²e²³ dx O A. neither B. substitution OC. integration by parts 4. f x² cos(x³) dx O A. neither B. integration by parts OC. substitution 5. √ √2+1 da f dx OA. integration by parts OB. substitution OC. neither

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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Question
### Integration Method Selection For each of the following integrals, determine whether integration by substitution or integration by parts is more appropriate, or if neither method is appropriate. Do not evaluate the integrals. 1. **Integral:** \(\int x \sin x \, dx\) - **Options:** - A. substitution - B. neither - C. integration by parts 2. **Integral:** \(\int \frac{x^2}{1+x^3} \, dx\) - **Options:** - A. integration by parts - B. substitution - C. neither 3. **Integral:** \(\int x^2 e^{x^3} \, dx\) - **Options:** - A. neither - B. substitution - C. integration by parts 4. **Integral:** \(\int x^2 \cos(x^3) \, dx\) - **Options:** - A. neither - B. integration by parts - C. substitution 5. **Integral:** \(\int \frac{1}{\sqrt{5x+1}} \, dx\) - **Options:** - A. integration by parts - B. substitution - C. neither *Note:* For each option chosen, consider the most straightforward method that simplifies the integral expression.
Transcribed Image Text:### Integration Method Selection For each of the following integrals, determine whether integration by substitution or integration by parts is more appropriate, or if neither method is appropriate. Do not evaluate the integrals. 1. **Integral:** \(\int x \sin x \, dx\) - **Options:** - A. substitution - B. neither - C. integration by parts 2. **Integral:** \(\int \frac{x^2}{1+x^3} \, dx\) - **Options:** - A. integration by parts - B. substitution - C. neither 3. **Integral:** \(\int x^2 e^{x^3} \, dx\) - **Options:** - A. neither - B. substitution - C. integration by parts 4. **Integral:** \(\int x^2 \cos(x^3) \, dx\) - **Options:** - A. neither - B. integration by parts - C. substitution 5. **Integral:** \(\int \frac{1}{\sqrt{5x+1}} \, dx\) - **Options:** - A. integration by parts - B. substitution - C. neither *Note:* For each option chosen, consider the most straightforward method that simplifies the integral expression.
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