Question - Finding the Integral of a Function Involving a Fraction with a Variable in the Denominator

Solution:

\( \int f(x) \, dx = \int \frac{1}{3x} \, dx \)

\( = \frac{1}{3} \int \frac{1}{x} \, dx \)

\( = \frac{1}{3} \ln|x| + C \)

Where \( C \) is the constant of integration.

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