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
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...
icon
Related questions
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 =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning