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WZ
Numerade Educator

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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

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

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Video Transcript

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