I want to find the area between two curves (see graph attached). But I want to find the area in function of "r", can anybody help?. The first curve is a line (x+y=1), and the second has the equation xy=r

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- Nov 6th 2007, 03:25 AMrbenitoArea under two curves by integration
I want to find the area between two curves (see graph attached). But I want to find the area in function of "r", can anybody help?. The first curve is a line (x+y=1), and the second has the equation xy=r

- Nov 6th 2007, 03:36 AMDivideBy0
is just a constant, isn't it?

Then simply solve both equations for :

The graphs intersect at

So you need to evaluate:

Hahahah... I might be wrong

On second thought it might be better to solve for*r*instead...

x = 0.65, y = .2 seems like a good spot.

- Nov 7th 2007, 06:47 AMrbenitor is a constant
but varies from 0 to 0.25, that means that r can be any number between [0,0.25]

- Nov 7th 2007, 07:45 AMtopsquark