# How do you use partial fraction decomposition to decompose the fraction to integrate #(x^5 + 1)/(x^6 - x^4)#?

Factor the denominator:

In any case, we can write:

So

Leads to:

But what if? What if we didn't notice that the fraction can be reduced?

It's OK, just a bit longer.

We would get:

In this case we get one more variable (and one more equation).

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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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