How do I find the area between the curves #y=x^2-4x+3# and #y=3+4x-x^2#?
It helps to first make a scetch of the two curves.
Preferably on the same paper (can't get this done here)
Then find the intersection points where both are equal:
You will find
Now we need the difference-function (the space between the functions):
Then we integrate this function from
(we take the absolute, positive value)