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Improper integral/Continuous unbounded positive function/Improper integral exists/Example/Exercise
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Give an example of a not bounded, continuous function
f
:
R
≥
0
⟶
R
≥
0
,
{\displaystyle f\colon \mathbb {R} _{\geq 0}\longrightarrow \mathbb {R} _{\geq 0},}
such that the improper integral
∫
0
∞
f
(
t
)
d
t
{\displaystyle {}\int _{0}^{\infty }f(t)dt}
exists.
Create a solution