Consider the indefinite integral r8x³ + 7x² + 45x + 36 dx x4 + 9x2 Then the integrand has partial fractions decomposition а cx + d - x2 + 9 where а - %3D с 3 d = Integrating term by term, we obtain that (8x³ + 7x² + 45x + 36 dx x4 + 9x? +C

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
Consider the indefinite integral
8x³ + 7x² + 45x + 36
dx
x4 + 9x2
Then the integrand has partial fractions
decomposition
cx + d
+
x2 + 9
а
-
x2
where
а -
b =
C =
d
%D
Integrating term by term, we obtain that
+ 45x + 36
'8x³ + 7x²
-dx
x4 + 9x2
+C
Transcribed Image Text:Consider the indefinite integral 8x³ + 7x² + 45x + 36 dx x4 + 9x2 Then the integrand has partial fractions decomposition cx + d + x2 + 9 а - x2 where а - b = C = d %D Integrating term by term, we obtain that + 45x + 36 '8x³ + 7x² -dx x4 + 9x2 +C
Expert Solution
Step 1

Consider the indefinite integral 8x3+7x2+45x+36x4+9x2 dxThen the integrand has partial fractions decomposition ax2+bx+cx+dx2+9wherea=?b=?c=?d=?Integrating term by term, we obtain that8x3+7x2+45x+36x4+9x2 dx=?+C

steps

Step by step

Solved in 3 steps

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