igven the idvergent integral

$$ \int _{0}^{\infty}dx \int_{0}^{\infty}dy \frac{x^{2}y+1}{1+x+y} $$

how could i apply Hadamard's finte part to give a finite meaning to it ?

it is jus made by applying hte itetrated finite part first to 'dx' and then 'dy'?

Given the divergent integral

$$ \int _{0}^{\infty}dx \int_{0}^{\infty}dy \frac{x^{2}y+1}{1+x+y} $$

how can I apply Hadamard's finite part to give a finite meaning to it ?

It is just made by applying the itetrated finite part first to '$dx$' and then '$dy$'?