# 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> |

[[Math_22| '''Return to Topics Page''']] | [[Math_22| '''Return to Topics Page''']] | ||

'''This page were made by [[Contributors|Tri Phan]]''' | '''This page were made by [[Contributors|Tri Phan]]''' |

## 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

**This page were made by Tri Phan**