# How do you integrate #int (x^4+1)/(x^5+5x+3)#?

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To integrate the given function, we can first perform polynomial division to rewrite it in the form of the sum of a polynomial and a proper rational function. After that, we can integrate each term separately using standard integration techniques. However, since the given function involves a polynomial of degree higher in the denominator than in the numerator, it's not straightforward to integrate it directly. It requires techniques such as partial fraction decomposition or integration by substitution, which may involve complex algebraic manipulations. Therefore, the integration process for this specific function would be quite involved and may not be suitable for a brief explanation without additional context or constraints.

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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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