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Integrate the functions(2x)/(1+x^2)...

Integrate the functions`(2x)/(1+x^2)`

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To solve the integral \(\int \frac{2x}{1+x^2} \, dx\), we can use substitution. Here’s a step-by-step solution: ### Step 1: Choose a substitution Let \( t = 1 + x^2 \). Then, we differentiate \( t \) with respect to \( x \): \[ dt = 2x \, dx \] ...
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