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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 \( \int \frac{x}{x^4 + 2x^2 + 2} \, dx \), we can follow these steps: ### Step 1: Simplify the Denominator First, we can rewrite the denominator \( x^4 + 2x^2 + 2 \) in a more manageable form. We can substitute \( u = x^2 \), which gives us: \[ x^4 + 2x^2 + 2 = u^2 + 2u + 2 \] ...
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