- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Thanks again to those who participated in last week's POTW! Here's this week's problem!
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Problem: Find the value of the constant $C$ for which the integral
\[\int_0^{\infty}\left(\frac{1}{\sqrt{x^2+4}}-\frac{C}{x+2}\right)\,dx\]
converges. Then evaluate the integral for this value of $C$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Find the value of the constant $C$ for which the integral
\[\int_0^{\infty}\left(\frac{1}{\sqrt{x^2+4}}-\frac{C}{x+2}\right)\,dx\]
converges. Then evaluate the integral for this value of $C$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!