using a graphics calculator to find an area of two functions and integration

Hi,

I have a question that I would appreciate some help with.

I need to use my graphics calculator to find the area bound by y=x ^3 - 2x- 5x +3 and y=x ^2 -2x-3. Then I need to draw a diagram to illustrate the area and show details of how I arrived at my answer using my calculator.

I figured out what I believe are to be the first few steps, which I will write below. However, I am not aware of what I should do next.

1) Enter the function x ^3 - 2x- 5x +3 as Y=1 in the Y= menu and enter the function x ^2 -2x-3 as Y=2 in the Y= menu

2) Press Graph

3) Press trace and find the parts of the intersection of both graphs

4) I am pretty sure the points are (-1.49, 2.58) (1.06, 3.87) (3.4, 1.29)

So any help possible would be great.

Then for the question after that I need to use integration techniques to find the same area from the above question. So if you could help at all with that as well it would be most appreciated.

thankyou:)