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Integrate the rational functions(1-x^2)...

Integrate the rational functions`(1-x^2)/(x(1-2x)`

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To solve the integral \(\int \frac{1 - x^2}{x(1 - 2x)} \, dx\), we will follow these steps: ### Step 1: Simplify the integrand We start with the integrand: \[ \frac{1 - x^2}{x(1 - 2x)} \] We can rewrite \(1 - x^2\) as \(-(x^2 - 1)\): ...
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