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Integrate 1/x dx

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Answer
ln⁡∣x∣+C\boxed{\ln|x| + C}

Differentiating the result ln⁡∣x∣+C\ln|x| + C gives 1x\frac{1}{x}, which matches the integrand.

Problem: Evaluate the indefinite integral ∫1x dx\int \frac{1}{x} \, dx.

Steps

  1. Apply the integration rule for power −1-1
    ln⁡∣x∣+C\ln|x| + C

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