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

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salar14666

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How to solve this double integral without Jacobian method?

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

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salar14666 said:
How to solve this double integral without Jacobian method?

. . . . .\(\displaystyle \displaystyle \large{ \int_{-2}^{-1}\, \int_0^{y+2}\, e^{\left(\frac{x+y}{x-y}\right)}\, dx\, dy }\)
Click to expand...
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?
 
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tkhunny said:
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?
Click to expand...

Could you please solve it in simplest form??
 
salar14666 said:
Could you please solve it in simplest form??
Click to expand...
Please reply with answers to the helper's questions. When you reply, please include a clear listing of your thoughts and efforts so far, so we can see where you're getting stuck. Thank you! ;)
 
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