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Evaluate: int(x^2)/(x^4-1)\ dx...

Evaluate: `int(x^2)/(x^4-1)\ dx`

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To evaluate the integral \( I = \int \frac{x^2}{x^4 - 1} \, dx \), we can follow these steps: ### Step 1: Factor the Denominator The denominator \( x^4 - 1 \) can be factored using the difference of squares: \[ x^4 - 1 = (x^2 - 1)(x^2 + 1) = (x - 1)(x + 1)(x^2 + 1) \] Thus, we rewrite the integral as: ...
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