$\int\int_{R}|xy|dydx$
Can i apply this integral property(given below) in the above mentioned integral?
$\int\int_R |f(x,y)|dydx=2\int_0^{\infty}\int_0^{\infty} f(x,y)dydx$ ?
$\int\int_{R}|xy|dydx$
Can i apply this integral property(given below) in the above mentioned integral?
$\int\int_R |f(x,y)|dydx=2\int_0^{\infty}\int_0^{\infty} f(x,y)dydx$ ?
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If it's convergent, then yes (with $4\cdot $).
This holds for the integral on a $2n\times 2n$-square with center $0$. Now letting $n\to\infty$ they both diverge (but consistently divergent as equals, so they are "equal".)