# How do I find the area between the curves #y=x^2-4x+3# and #y=3+4x-x^2#?

##### 1 Answer

Jan 29, 2015

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

Area =

Area =

(we take the absolute, positive value)