Homework Help is Here – Start Your Trial Now!
Math
Calculus
Find

Find

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
Find
The problem presented is an integral calculus question. It asks to find the indefinite integral of the function \( \frac{4}{x} \) with respect to \( x \). ### Problem Statement Find \( \int \frac{4}{x} \, dx \). ### Explanation To solve this integral, you use the basic integration rule for \( \frac{1}{x} \), which is \( \int \frac{1}{x} \, dx = \ln |x| + C \), where \( C \) is the constant of integration. Since there is a constant multiplier of 4, it can be factored out of the integral: \[ \int \frac{4}{x} \, dx = 4 \int \frac{1}{x} \, dx = 4 \ln |x| + C \] ### Final Solution The indefinite integral of the function is: \[ 4 \ln |x| + C \]
Transcribed Image Text:The problem presented is an integral calculus question. It asks to find the indefinite integral of the function \( \frac{4}{x} \) with respect to \( x \). ### Problem Statement Find \( \int \frac{4}{x} \, dx \). ### Explanation To solve this integral, you use the basic integration rule for \( \frac{1}{x} \), which is \( \int \frac{1}{x} \, dx = \ln |x| + C \), where \( C \) is the constant of integration. Since there is a constant multiplier of 4, it can be factored out of the integral: \[ \int \frac{4}{x} \, dx = 4 \int \frac{1}{x} \, dx = 4 \ln |x| + C \] ### Final Solution The indefinite integral of the function is: \[ 4 \ln |x| + C \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS