Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. + 2y² - 4 - 1 dy y + 2y Perform long division on the given integrand and write the proper fraction as a sum of partial fractions. 4 y* + 2y² - 1 1 = y- 2y y y° + 2y 2 y + 2 (Simplify your answer. Use integers or fractions for any numbers in the expression.) Evaluate the integral. + 2y?. - 1 dy = + 2y 1 In In + C

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on...
icon
Related questions
Question
100%
Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral.
4
+
2y
- 1
dy
3
y° + 2y
Perform long division on the given integrand and write the proper fraction as a sum of partial fractions.
y + 2y? - 1
1
1
y
= y - - +
3
y° + 2y
2y
2 y + 2
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Evaluate the integral.
2y².
dy = ly2
y +2y
1
1
In ]y|
- 1
In (y +2) + c
%3D
+
Transcribed Image Text:Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. 4 + 2y - 1 dy 3 y° + 2y Perform long division on the given integrand and write the proper fraction as a sum of partial fractions. y + 2y? - 1 1 1 y = y - - + 3 y° + 2y 2y 2 y + 2 (Simplify your answer. Use integers or fractions for any numbers in the expression.) Evaluate the integral. 2y². dy = ly2 y +2y 1 1 In ]y| - 1 In (y +2) + c %3D +
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Indefinite Integral
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage