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Transforming parabola to straight line

by turin
Tags: line, parabola, straight, transforming
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turin
#1
Mar22-09, 04:51 PM
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To the moderator: This isn't a HW question, but it probably sounds like one, so I appologize. Please move this to the HW forum if need be.

I have an integration domain inside three intersecting curves. Two of the curves are straightlines and the third is a parabola. These three boundaries are of the form

[tex]
y=Ax
\, \qquad
y=Bx
\, \qquad
y=(1+x)^2
[/tex]

where A and B are arbitrary constant slopes > 4.
I want to transform the boundary of this domain into a triangle, as simply as possible. Any hints?
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Office_Shredder
#2
Mar22-09, 06:37 PM
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You don't just want to turn the parabola into a straight line, you want to keep the other straight lines as straight lines as well.
turin
#3
Mar23-09, 12:05 AM
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Quote Quote by Office_Shredder View Post
You don't just want to turn the parabola into a straight line, you want to keep the other straight lines as straight lines as well.
Correct. I already know how to straighten the parabola, e.g. u=(1+x)^2; that's trivial.

BTW, I don't care about the Jacobian; my #1 priority is straight boundaries for the domain of integration.


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