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97. To determine the value of the definite integral: 3 x - 3 x² - 6x + 10 a. Complete the square of the denominator of the integrand: x² - 6x + 10 = (___ _ _)² + __ b. Determine the anti-derivative using an appropriate substitution: x - 3 √₁² x² - 6x + 10 3 dx = c. Use the anti-derivative to evaluate the definite integral: C dx x - 3 2 x² - 6x+10 -dx =

97. To determine the value of the definite integral: 3 x - 3 x² - 6x + 10 a. Complete the square of the denominator of the integrand: x² - 6x + 10 = (___ _ _)² + __ b. Determine the anti-derivative using an appropriate substitution: x - 3 √₁² x² - 6x + 10 3 dx = c. Use the anti-derivative to evaluate the definite integral: C dx x - 3 2 x² - 6x+10 -dx =

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
97. To determine the value of the definite integral: 3 1x²-6x + -dx - 6x + 10 a. Complete the square of the denominator of the integrand: x² - 6x + 10 = = (-____- b. Determine the anti-derivative using an appropriate substitution: x - 3 √x² - 6x + 10 dx = - - c. Use the anti-derivative to evaluate the definite integral: 3 x - 3 x² - 6x+10 dx =
Transcribed Image Text:97. To determine the value of the definite integral: 3 1x²-6x + -dx - 6x + 10 a. Complete the square of the denominator of the integrand: x² - 6x + 10 = = (-____- b. Determine the anti-derivative using an appropriate substitution: x - 3 √x² - 6x + 10 dx = - - c. Use the anti-derivative to evaluate the definite integral: 3 x - 3 x² - 6x+10 dx =
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