I'm trying to construct a function $f=f(x,y)$ of two variables defined on the stripe $A=\{(x,y)\in\mathbb{R^2}, \ |y| $\int_Bf(x,y)dx dy=\infty$ , where $B=\{(x,y)\in\mathbb{R^2} \ |y| How can I do? Thanks for the help!
How to construct a function of two variable non integrable on a stripe
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real-analysis
integration
multivariable-calculus
improper-integrals