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Liquidxlax
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Homework Statement
edit* proper problem
change to polar
Integral(0 to infinity)Integral(0 to infinity)e-sqrt(x2 + y2[/SUP)dxdy
the one below isn't the right problem, but i'd still appreciate help on the one below
Make the change of variables u=x-y, v=x+y to evaluate the integral
Integral(0 to 1)dy Integral(0 to (1-y)) e(x-y)(x+y)dx
Homework Equations
J = J((x,y)/(u,v)) = partial((x,y)/(u,v)) = det(partial((x,y)/(u,v)))
The Attempt at a Solution
PROBLEM 1
Not sure how to do a jacobian for this or even if its needed. It looks as if i would just stick in y=rsint x=rcost.
PROBLEM 2
I did the determinant which came to
{1, 1}, {-1, 1} = 2
integral()integral()f|J|dudv = integral()integral()2euvdudv
not sure if this is right, but if it is I'm not sure how to change my limits
thanks
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