		           AREA BETWEEN TWO CURVES
                           ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ 


Theorem : If f and g are continuous functions and if f(x) ≥ g(x)
 	  
	  for all x in [a,b], then the area of the region bounded 

	  above by y = f(x), below by y = g(x), on the left by

	  the line x = a, and on the right by the line x = b, is

                	   b
                	  ⌠
                	  │ [f(x) - g(x)] dx 
                	  ⌡	
                           a


Theorem : If w and v are continuous functions and of w(y) ≥ v(y)
 	  
	  for all y in [c,d], then the area of the region bounded 

	  on the left and right by x = v(y),  x = w(y), and above 
		
	  and below by the lines y = d, and y = c is

                	   d
                	  ⌠
                	  │ [w(y) - v(y)] dy 
                	  ⌡
                           c 


This is the end of the help file.  Press the ESC key to return to the quiz
question you were doing.
