<p>\(\int f(x) \,dx = \int \frac{1}{3x} \,dx\)</p> <p>\(= \frac{1}{3} \int \frac{1}{x} \,dx\)</p> <p>\(= \frac{1}{3} \ln|x| + C\)</p> <p>where \(C\) is the constant of integration.</p>
<p>\(\int f(x) \,dx = \int x^2 \,dx\)</p> <p>\(= \frac{x^{2+1}}{2+1} + C\)</p> <p>\(= \frac{x^3}{3} + C\)</p>
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