MathDB
Problems
Contests
National and Regional Contests
Romania Contests
Romania - Local Contests
Bogdan Stan
2012 Bogdan Stan
3
Characterization of f. that satisfy kind of FTC on themselves
Characterization of f. that satisfy kind of FTC on themselves
Source:
November 25, 2019
function
Find all functions
real analyssi
Problem Statement
Find all functions
f
:
R
⟶
R
f:\mathbb{R}\longrightarrow\mathbb{R}
f
:
R
⟶
R
that verify the equality
∫
a
b
f
(
x
)
d
x
=
f
(
b
)
−
f
(
a
)
,
\int_a^b f(x)dx=f(b)-f(a),
∫
a
b
f
(
x
)
d
x
=
f
(
b
)
−
f
(
a
)
,
for any real numbers
a
,
b
.
a,b.
a
,
b
.
Cosmin Nitu
Back to Problems
View on AoPS