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Question
Evaluate \[\int \frac{1}{x}\,dx\]
Options
\[\frac{1}{x^2}+\mathrm{C}\]
\[\log|x|+\mathrm{C}\]
\[\log x+\mathrm{C}\]
\[x+\mathrm{C}\]
MCQ
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Solution
The derivative of \(\log|x|\) is \(\frac{1}{x}\). Therefore, \(\int \frac{1}{x}\,dx=\log|x|+\mathrm{C}\).
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