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Evaluate the integral using an appropriate substitution. [x√5 - x da = + C

Evaluate the integral using an appropriate substitution. [x√5 - x da = + C

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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**Evaluate the integral using an appropriate substitution.** \[ \int x \sqrt{5-x} \, dx = \boxed{\phantom{xxxxx}} + C \] *Instructions: Use substitution methods to solve the integral. The integral involves a square root function, which often suggests a suitable substitution to simplify the integration process. Remember to include the constant of integration, \( C \), in your final answer.* There are no graphs or diagrams accompanying this problem.
Transcribed Image Text:**Evaluate the integral using an appropriate substitution.** \[ \int x \sqrt{5-x} \, dx = \boxed{\phantom{xxxxx}} + C \] *Instructions: Use substitution methods to solve the integral. The integral involves a square root function, which often suggests a suitable substitution to simplify the integration process. Remember to include the constant of integration, \( C \), in your final answer.* There are no graphs or diagrams accompanying this problem.
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