Problem

Suppose $ f $ is continuous on $ [0, \infty) $ an…

03:10

Problem 80 Hard Difficulty

Find the value of the constant $ C $ for which the integral
$$ \displaystyle \int_0^\infty \left (\frac{x}{x^2 + 1} - \frac{C}{3x + 1} \right)\ dx $$
converges. Evaluate the integral for this value of $ C $.

Answer

$$\begin{array}{l}{C=3} \\ {\ln \left(\frac{1}{3}\right)}\end{array}$$

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Discussion

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Problem 1

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Video Transcript

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WZ

Wen Z.

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 8

Improper Integrals

Top Calculus 2 / BC Educators

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College