Im having some trouble with these ones Decide if the following integrals exist as Lebesgue integrals and as Riemann integrals Thanks!!!
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Originally Posted by kezman Decide if the following integrals exist as Lebesgue integrals and as Riemann integrals Are they Riemann integrable? If not why not?
As for riemann integral the first one exist and is = -1 The second one doesnt exist. The problem is to prove if exists the lebesgue integral, I have no clue.
Originally Posted by kezman As for riemann integral the first one exist and is = -1 The second one doesnt exist. The problem is to prove if exists the lebesgue integral, I have no clue. The value of the first is 1, not -1. For the second did you notice that .
ok the second integral if exists must be between 0 and 1
Originally Posted by kezman ok the second integral if exists must be between 0 and 1 Here is a reference for you. And another.
Excelent, so Ill have to fight against lebesgue integral.
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