# How do you evaluate the integral #int (3x+6)/(x^4-2x^2+1)#?

Now I decomposed integrand into basic fractions,

After expanding denominator,

After equating coefficients, I found

Thus,

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To evaluate the integral ( \int \frac{3x + 6}{x^4 - 2x^2 + 1} ), we first perform partial fraction decomposition to express the integrand as a sum of simpler fractions. Then, we integrate each term separately.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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