Question

Evaluate \[\int \frac{1}{x}\,dx\]

विकल्प

• \[\frac{1}{x^2}+\mathrm{C}\]

• \[\log|x|+\mathrm{C}\]

• \[\log x+\mathrm{C}\]

• \[x+\mathrm{C}\]

Answer 1

The derivative of \(\log|x|\) is \(\frac{1}{x}\). Therefore, \(\int \frac{1}{x}\,dx=\log|x|+\mathrm{C}\).