September 18th, 2011, 05:28 PM  #1 
Senior Member Joined: Jan 2010 Posts: 324 Thanks: 0  area between curves
Find the area between the curves f(x)= x^2 4 and g(x)= x^2+4 and the vertical lines x=3 and x=3. 
September 18th, 2011, 05:51 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,753 Thanks: 2136 
That's a bit unclear. I think the intention is to omit the area between the curves for x < 2, leaving which equals 28/3. 
September 18th, 2011, 10:47 PM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: area between curves
If the intention is to include all area for x < 3, we would add to [color=#00BF00]skipjack[/color]'s area with (and using the same symmetry of an even function taken over an interval symmetric about the functions' axis of symmetry.): Thus, the total area A would be: 
October 2nd, 2011, 07:44 PM  #4 
Senior Member Joined: Jan 2010 Posts: 324 Thanks: 0  Re: area between curves
where did you get the 28 (in 64+2 
October 2nd, 2011, 08:16 PM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: area between curves
I was adding the result [color=#00BF00]skipjack[/color] obtained in the post above the one you are referring to.

October 2nd, 2011, 08:32 PM  #6 
Senior Member Joined: Jan 2010 Posts: 324 Thanks: 0  Re: area between curves
Oh ok, I see.


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