# How do you find #int (x^2-4)/((x+3)(x^2+1))dx# using partial fractions?

Altogether, we have,

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To find the integral of ( \frac{x^2 - 4}{(x+3)(x^2+1)} ) using partial fractions, we first decompose the rational function into simpler fractions. We write the integrand as ( \frac{A}{x+3} + \frac{Bx + C}{x^2 + 1} ) and equate numerators to get the values of A, B, and C. After finding the values, we integrate each term separately to get the final result.

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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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