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Mathematics
Mathematics
Problem
Let
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
F(x)=\displaystyle\int_{a}^{x} f(t)\,dt
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
, where
f
f
f
is continuous on
[
a
,
b
]
[a,b]
[
a
,
b
]
. What is
d
F
d
x
\dfrac{dF}{dx}
d
x
d
F
for
x
x
x
in
(
a
,
b
)
(a,b)
(
a
,
b
)
?
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