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int (2x)/(1+x^(2))...

` int (2x)/(1+x^(2))`

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To solve the integral \( \int \frac{2x}{1+x^2} \, dx \), we can follow these steps: ### Step 1: Set up the integral Let \( I = \int \frac{2x}{1+x^2} \, dx \). ### Step 2: Use substitution We will use the substitution \( t = 1 + x^2 \). Then, we differentiate both sides to find \( dt \): \[ ...
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