Word Count : 240

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To solve the integral: \[ \int \frac{\tan(\log x)}{x} \, dx \] we can use substitution. Here's the step-by-step solution: --- ### Step 1: Substitution Let \( u = \log x \). Then, the derivative of \( u \) with respect to \( x \) is: \[ \frac{du}{dx} = _______ ______ _____ _____ _____ _______.
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