# How do you evaluate #\int \frac { d x } { ( x + 2) ( x ^ { 2} - 1) }#?

The integral equals

Write a system of equations now.

We solve.

The integral becomes

Which can be integrated as

Hopefully this helps!

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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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