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Lebl-Basic-Analysis-I
· Problem 5.2.15
The Riemann Integral
Mathematics · properties-of-integral
Problem
(Challenging) Suppose
f
∈
R
(
[
a
,
b
]
)
f \in \mathcal{R}([a,b])
f
∈
R
([
a
,
b
])
, then the function that takes
x
x
x
to
∣
f
(
x
)
∣
|f(x)|
∣
f
(
x
)
∣
is also Riemann integrable on
[
a
,
b
]
[a,b]
[
a
,
b
]
. Then show the same inequality as Exercise 5.2.10.
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