Find the value of the constant C' for which the integral converges. Evaluate the integral for this value of C. C = Value of convergent integral = с Lo (²+1-38+1) dhe dx 3x
Find the value of the constant C' for which the integral converges. Evaluate the integral for this value of C. C = Value of convergent integral = с Lo (²+1-38+1) dhe dx 3x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Find the value of the constant \( C \) for which the integral
\[
\int_0^\infty \left( \frac{x}{x^2+1} - \frac{C}{3x+1} \right) \, dx
\]
converges. Evaluate the integral for this value of \( C \).
\( C = \) [Input Box]
Value of convergent integral = [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccac55ee-732b-4607-a38e-f5bd0a8aacb2%2Fdc3c9de0-9781-4aeb-af14-a7aaf3785c62%2F3rnatfy_processed.png&w=3840&q=75)
Transcribed Image Text:Find the value of the constant \( C \) for which the integral
\[
\int_0^\infty \left( \frac{x}{x^2+1} - \frac{C}{3x+1} \right) \, dx
\]
converges. Evaluate the integral for this value of \( C \).
\( C = \) [Input Box]
Value of convergent integral = [Input Box]
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