# How do you integrate #int (1-2x^2)/((x-2)(x+6)(x+4)) # using partial fractions?

then

then

Now that the three equations are defined

Find A, B, and C using algebra.

The integral becomes:

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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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