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
If and are continuous on and for all in , then the area of the region bounded by the graphs of given by
![{\displaystyle [a,b]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9c4b788fc5c637e26ee98b45f89a5c08c85f7935)
![{\displaystyle A=\int _{a}^{b}[f(x)-g(x)]dx}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3ce99f41c72a8c3bbbb37d5a3bb786ffc5babc0e)
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