(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The original integral is

$$\left[\int_0^{\infty} {\int_0^{\infty} {F(x + y,x - y) \cdot dx \cdot dy} } \right]$$

What should be the limits of the integrals. (position represented by '?' symbol)

$$\left[\int_?^? {\int_?^? {F(u,v) \cdot (\frac{1}{2})du \cdot dv} } \right]$$ .

When x+y is substituted by 'u' and x-y is substituted by 'v'

2. Relevant equations

use x+y= u , x-y=v, I am confused about the limits of the integrals

3. The attempt at a solution

dx*dy = 0.5 * du * dv - This I got by using Jacobian matrix.

I need help in deciding the limits of the integrals.

My approach:

$$\left[\int_0^{\infty} {\int_{\left| v \right|}^{\infty} {F(u,v) \cdot (\frac{1}{2})du \cdot dv} } \right]$$

Is this correct???

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# Homework Help: Change of variables in integration.

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