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