Use the partial fraction decomposition method to find the antiderivative of the function h(x)= (-11(x^2)-20x+24)/x((x^2)+4). In your work show the "dummy" decomposition form, the linear system that needs to be solved, and the specific decomposition before going on to find the anti-derivative.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 12E
icon
Related questions
Topic Video
Question

Use the partial fraction decomposition method to find the antiderivative of the function h(x)= (-11(x^2)-20x+24)/x((x^2)+4). In your work show the "dummy" decomposition form, the linear system that needs to be solved, and the specific decomposition before going on to find the anti-derivative. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 8 images

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning