Give an example of a function that is integrable on the interval [0, 1] and incomplete on [0, 2].

Asked May 18 '23 at 09:48

Active May 18 '23 at 11:20

Viewed 57 times

Give an example of a function that is integrable on the interval [0, 1] and not-integrable on [0, 2].

So , i was thinking about function ={-1, 0<=x<=1 and 0, 1<x<=2 , however i dont think that i

was going to accomplish anything by that and apart from Dirichlet function i cant think of

any good example of function that would be incomplete

edited May 18 '23 at 11:20

Lee Mosher

asked May 18 '23 at 09:48

Karol Bargieł

2

What do you mean by "incomplete" ? Non continuous ? – Jean Marie May 18 '23 at 10:00
And what do you mean by "integral"? These terms are not standard. – Gerry Myerson May 18 '23 at 10:54
i meant that the function on the interval [0,1] can be integrable and non-integrable on [0, 2]. – Karol Bargieł May 18 '23 at 11:12
2

What about $$f : x \mapsto \left\lbrace \begin{array}[ll] \ \dfrac{1}{2-x} & \text{if }x \in [0,2) \ 42 & \text{if }x=2 \end{array}\right. \quad ?$$ – TheSilverDoe May 18 '23 at 11:20

0 Answers0