Write the integral as the sum of the integral of an odd function and the integral of an even function. L₁ (x³ + 7x² 0 1₁ × ²³ dx + £²₁ (7ײ - L x 3 OL₁₂₁²- + 7x² - 2x - 9) dx (7x²2x9) dx (x³ - 2x - 9) dx + °1² (+³ 3 ° L₁ (x² - 9) dx + L₁ (7x². - 2x) ₁ dx 3 (x³ + 7x²) dx + OLC². (x³ - 2x) dx 3 L²² 7x² dx (-2x - 9) dx 3 + L₁ (7x² - 9) dx Use this simplification to evaluate the integral.

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
Write the integral as the sum of the integral of an odd function and the integral of an even function.
3
L₂(x³ + 2x²
+ 7x² - 2x - 9) dx
3
3
O
© £²×³ dx + £²₁ (7ײ -
(7x²2x9) dx
3
0 1²₁ ₁x² - 2x
(x³ - 2x - 9) dx +
3
•Lux².
0 1²₁ (x³ + 7x²) dx =
+
° L₁ (x² - 9) dx + L₂ (²x³².
3
(+³
3
(x³ - 2x) dx
7x² dx
(7ײ - 2x) ₁ dx
3
(-2x - 9) dx
3
+ L₁ (7x² - 9) dx
Use this simplification to evaluate the integral.
Transcribed Image Text:Write the integral as the sum of the integral of an odd function and the integral of an even function. 3 L₂(x³ + 2x² + 7x² - 2x - 9) dx 3 3 O © £²×³ dx + £²₁ (7ײ - (7x²2x9) dx 3 0 1²₁ ₁x² - 2x (x³ - 2x - 9) dx + 3 •Lux². 0 1²₁ (x³ + 7x²) dx = + ° L₁ (x² - 9) dx + L₂ (²x³². 3 (+³ 3 (x³ - 2x) dx 7x² dx (7ײ - 2x) ₁ dx 3 (-2x - 9) dx 3 + L₁ (7x² - 9) dx Use this simplification to evaluate the integral.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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