How to evaluate an definite integral  with the TI-83 or TI-84

Let's use the integral    for our example. 

Keystrokes below are in bold
 

Method 1.  (Shows no graph.)

Math, 9, Enter,  Result displayed is:   fnInt(
Complete including three commas:    fnInt(x^2-3x  ,  x  ,  1  ,  4  ),  Enter:   Answer displayed is  -1.5

 Method2.  (Shows a shaded graph.)

Y=, x^2-3x, Window, (Use 0,5,1,-10,10,1,1 for this integral.)
2nd Calc, 7, 1, Enter, 4, Enter,    results in:  -1.5