e Monday by Question Use the formula 8x7 4+x4 Include +C in your answer. to evaluate Provide your answer below: ◄ Previous dx. OCT 3 u³ 12² [₁²4²₁² - a² + u² tv du = = u² − a² In|a² + u²| + C NA O
e Monday by Question Use the formula 8x7 4+x4 Include +C in your answer. to evaluate Provide your answer below: ◄ Previous dx. OCT 3 u³ 12² [₁²4²₁² - a² + u² tv du = = u² − a² In|a² + u²| + C NA O
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...
Related questions
Question
Box your answer
![**Question**
Use the formula
\[
\int \frac{u^3}{a^2 + u^2} \, du = \frac{1}{2} u^2 - \frac{1}{2} a^2 \ln|a^2 + u^2| + C
\]
to evaluate
\[
\int \frac{8x^7}{4+x^4} \, dx
\]
Include +C in your answer.
Provide your answer below:
___](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05a639e3-77d0-4fe2-93f4-24b810a234c5%2F1662bee8-a6f0-4655-963c-68912c98fe9b%2Fo8ibvz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question**
Use the formula
\[
\int \frac{u^3}{a^2 + u^2} \, du = \frac{1}{2} u^2 - \frac{1}{2} a^2 \ln|a^2 + u^2| + C
\]
to evaluate
\[
\int \frac{8x^7}{4+x^4} \, dx
\]
Include +C in your answer.
Provide your answer below:
___
Expert Solution
Step 1
Given that the integral .
Evaluate the given integral.
The formula used are the following.
where is an integrating constant.
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning