Difference between revisions of "Math 22 The Area of a Region Bounded by Two Graphs"

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[[File:Region_2_graph.png]]
 
[[File:Region_2_graph.png]]
  
   If <math>f</math> and <math>g</math> are continuous on <math>[a,b]</math> and <math>g(x)\le f(x)</math> for all <math>x</math> in <math>[a,b]</math>, then the area of the region bounded by the graphs of <math>f,g,x=a,x=b</math> given by
+
   If <math>f</math> and <math>g</math> are continuous on <math>[a,b]</math> and <math>g(x)\le f(x)</math> for all <math>x</math> in <math>[a,b]</math>,  
 +
  then the area of the region bounded by the graphs of <math>f,g,x=a,x=b</math> given by
 
    
 
    
 
   <math>A=\int_a^b [f(x)-g(x)]dx</math>
 
   <math>A=\int_a^b [f(x)-g(x)]dx</math>

Revision as of 07:39, 17 August 2020

Area of a Region Bounded by Two Graphs

Region 2 graph.png

 If  and  are continuous on  and  for all  in , 
 then the area of the region bounded by the graphs of  given by
 
 

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