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Hello! I was very tormented with this Lebesgue-related problem. I searched the whole Internet, but I didn't find a solution (maybe I was looking in the wrong places). The task looks like this:
Is the function integrable by Lebesgue on a ray (-∞,-1)?
if it is, then find its value.
I've tried to find Riemann improper integral
But in the end, there happens division by zero (in first addendum)
I'm not asking for a complete solution, but at least a hint in which direction to move, which theorems to use, otherwise I'm completely desperate. Thanks!
PS I'm sorry if there is some wrong terminology - I'm not native english speaker
Is the function integrable by Lebesgue on a ray (-∞,-1)?
if it is, then find its value.
I've tried to find Riemann improper integral
I'm not asking for a complete solution, but at least a hint in which direction to move, which theorems to use, otherwise I'm completely desperate. Thanks!
PS I'm sorry if there is some wrong terminology - I'm not native english speaker
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