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posted by  Ruman on 7/23/2008 10:29:03 PM  |  status: Closed  

Find area of a region bounded by graphs

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Find the area of the region bounded by the graphs of the equations.
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posted by rawool on 7/23/2008 10:55:04 PM  |  status: Live
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(24 + 12) - (0)  =  36  
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posted by Leith on 7/23/2008 10:55:49 PM  |  status: Live
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Response Details:
Since the graph is bounded by x =0, x =8, y =0, and the function y = 3 +
We can integrate the function on the interval (0,8) and we will get the area.


We will rewrite the first equation so that we take away the root symbol, to make things easier to work with


Now we just integrate

[3(8)+(3(8)(4/3)/4)] - [3(0)+(3(0)(4/3)/4)] = 36
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posted by Lilly's Daddy on 7/23/2008 11:07:43 PM  |  status: Live
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The formula for finding the area of the region is:
                  or 
Using the boundaries given the set up should look like this:
     Now we can integrate:
    
A= 24 +12=36
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