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Evaluate: int(x^2)/(x^2+7x+10)\ dx...

Evaluate: `int(x^2)/(x^2+7x+10)\ dx`

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To evaluate the integral \(\int \frac{x^2}{x^2 + 7x + 10} \, dx\), we will follow these steps: ### Step 1: Simplify the integrand First, we can simplify the integrand by performing polynomial long division since the degree of the numerator is equal to the degree of the denominator. \[ \frac{x^2}{x^2 + 7x + 10} = 1 + \frac{-7x - 10}{x^2 + 7x + 10} \] ...
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