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Evaluate: int(x/(x^(4)+2x^(2)+2))dx...

Evaluate: `int(x/(x^(4)+2x^(2)+2))dx`

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To evaluate the integral \( I = \int \frac{x}{x^4 + 2x^2 + 2} \, dx \), we can follow these steps: ### Step 1: Substitution Let \( t = x^2 \). Then, differentiating both sides gives us: \[ dt = 2x \, dx \quad \Rightarrow \quad x \, dx = \frac{dt}{2} \] ...
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