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Mathematics
Mathematics
Problem
Let
f
f
f
be continuous on
R
\mathbb R
R
and define
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
F(x)=\int_{0}^{x} f(t)\,dt
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
. Determine
F
′
(
c
)
F'(c)
F
′
(
c
)
for any real number
c
c
c
.
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