# How do you integrate this? ∫ dx(x²-x+1) I'm stuck on this part (image uploaded)

##### 2 Answers

#### Explanation:

Carrying on...

Let

Using an antiderivative what should be committed to memory...

This is a tricky little integral, and the solution will not appear obvious at first. Since this is a fraction, we might try to consider using the partial fractions technique, but a quick analysis reveals that this is not possible since

We will try to get this integral to a form that we can actually integrate. Notice the similarity between

We will need to complete the square on

(very messy, I know)

Now that we have it in our desired form, we may proceed as follows: