Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Hello, Please answer the following attached Calculus question correctly, and show all your work completely. Please make sure to write neatly and also box your answer. Thank you. 

**Exercise Description:** In the following exercise, use a change of variables to evaluate the definite integral. **Integral to Evaluate:** \[ \int_{0}^{1} \frac{x}{\sqrt{1 + x^2}} \, dx \] **Instructions:** 1. Identify an appropriate substitution to simplify the expression under the integral. 2. Perform the change of variables. 3. Evaluate the new integral after substitution. 4. Convert the answer back to the original variable if necessary. 5. Ensure to apply the limits of integration accordingly.
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Transcribed Image Text:**Exercise Description:** In the following exercise, use a change of variables to evaluate the definite integral. **Integral to Evaluate:** \[ \int_{0}^{1} \frac{x}{\sqrt{1 + x^2}} \, dx \] **Instructions:** 1. Identify an appropriate substitution to simplify the expression under the integral. 2. Perform the change of variables. 3. Evaluate the new integral after substitution. 4. Convert the answer back to the original variable if necessary. 5. Ensure to apply the limits of integration accordingly.
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