April 12th, 2012, 08:23 AM  #1 
Member Joined: Apr 2012 Posts: 47 Thanks: 0  surface Integration
need to calculate surface between fx and gx. not sure i used correct word surface. fx=gx im stock, hope someone can show me how to do it. 
April 12th, 2012, 10:02 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs  Re: surface Integration
While surface isn't an incorrect term, typically the word area is used. For finding the intersections, write the equation as: We may determine that on (1,1) using a test point (x = 0) that we have and so the area A bounded by the two functions is: 
April 12th, 2012, 10:45 AM  #3 
Member Joined: Apr 2012 Posts: 47 Thanks: 0  Re: surface Integration
is possible to use long division methode? if yes how, because teacher say is possible to use long division, but i dont see fx degree is higher then gx and this problem is not in form can you do one step more, dont understand this one. 
April 12th, 2012, 10:51 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs  Re: surface Integration
I wouldn't use division, just factoring because it's simpler in this case. We have: The two terms on the left have a common factor of so we have: 
April 12th, 2012, 11:01 AM  #5 
Member Joined: Apr 2012 Posts: 47 Thanks: 0  Re: surface Integration
can you tell me how to use division in this case. i know how to use division methode but dont know division by what? i still missing something...

April 12th, 2012, 11:16 AM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs  Re: surface Integration
Well, we could state: So we may state: So now, when we equate the two functions to find the intersections, we have: Now you see why I recommend just factoring, it is simpler. 
April 12th, 2012, 01:05 PM  #7 
Member Joined: Apr 2012 Posts: 47 Thanks: 0  Re: surface Integration
aaaaaaa now i see, thanks alot but dont know why im very bad in calculate area .... like this 2 problems. a) y=fx= lines are x=0 and x=2 b) y=fx so this one so i miss gx? 
April 13th, 2012, 01:58 AM  #8 
Member Joined: Apr 2012 Posts: 47 Thanks: 0  Re: surface Integration
not sure im doing right, hope someone can help me out. thanks!

April 13th, 2012, 02:12 AM  #9 
Member Joined: Apr 2012 Posts: 47 Thanks: 0  Re: surface Integration
2

April 13th, 2012, 03:28 AM  #10 
Member Joined: Apr 2012 Posts: 47 Thanks: 0  Re: surface Integration confused


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