# How do you integrate # (2x-5)^2 dx#?

Substitute:

so:

Undoing the substitution:

We can do the same thing using a simpler notation:

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Then integrate each term separately and leave out the signs to make things easier:

Therefore,

Do not forget constant as this is an indefinite integral:

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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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