Find the value of k that makes the antidifferentation formula true 1 - dx 3+ 7x k Inl3+ 7xl +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...
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Find the value of \( k \) that makes the antidifferentiation formula true:

\[
\int \frac{1}{3 + 7x} \, dx = k \ln |3 + 7x| + C
\]

This problem involves finding a value for \( k \) such that the given integral equation is satisfied. The integral provided is a standard logarithmic form.
Transcribed Image Text:Find the value of \( k \) that makes the antidifferentiation formula true: \[ \int \frac{1}{3 + 7x} \, dx = k \ln |3 + 7x| + C \] This problem involves finding a value for \( k \) such that the given integral equation is satisfied. The integral provided is a standard logarithmic form.
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