# Thread: How to solve int[-2,-1] int[0,y+2] e^((x+y)/(x-y)) dx dy w/o Jacobian method?

1. ## How to solve int[-2,-1] int[0,y+2] e^((x+y)/(x-y)) dx dy w/o Jacobian method?

How to solve this double integral without Jacobian method?

. . . . .$\displaystyle \large{ \int_{-2}^{-1}\, \int_0^{y+2}\, e^{\left(\frac{x+y}{x-y}\right)}\, dx\, dy }$

2. Originally Posted by salar14666
How to solve this double integral without Jacobian method?

. . . . .$\displaystyle \large{ \int_{-2}^{-1}\, \int_0^{y+2}\, e^{\left(\frac{x+y}{x-y}\right)}\, dx\, dy }$
1) Why? If it can be expressed simply, why do you care how it is done?
2) "Jacobian Method"? Do you mean an astute variable substitution?
3) Occasionally, some advantage can be had by a simple reversal of the order of integration.
4) You could add the Cauchy Principle Value Exponential Integral to your canon of thought.
5) There is a reason why we invented Numerical Methods. Is it Real Valued?

3. Originally Posted by tkhunny
1) Why? If it can be expressed simply, why do you care how it is done?
2) "Jacobian Method"? Do you mean an astute variable substitution?
3) Occasionally, some advantage can be had by a simple reversal of the order of integration.
4) You could add the Cauchy Principle Value Exponential Integral to your canon of thought.
5) There is a reason why we invented Numerical Methods. Is it Real Valued?
Could you please solve it in simplest form??

4. Originally Posted by salar14666
Could you please solve it in simplest form??