Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator) éx - 12 dx x2 - 4x -5 3lnlx -51 + 3lnlx+1] + C O 4lnlx - 51 - 3lnlx+ 1] +C 3lnlx + 5| + 3ln|x-1| + C O Inl3(x - 5) + 3(x + 1)| +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
Express the integrand as a sum of partial fractions and evaluate
the integral. (Hint: factor the denominator)
бх - 12
x2 - 4x - 5
xp-
3lnlx - 51 + 3lnlx + 1| + C
4lnlx-51 - 3lnlx+ 1| +C
3lnlx + 5| + 3lnlx - 1| +C
Inl3(x - 5) + 3(x + 1)| +C
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator) бх - 12 x2 - 4x - 5 xp- 3lnlx - 51 + 3lnlx + 1| + C 4lnlx-51 - 3lnlx+ 1| +C 3lnlx + 5| + 3lnlx - 1| +C Inl3(x - 5) + 3(x + 1)| +C
Expert Solution
trending now

Trending now

This is a popular 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