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Mathematics
Mathematics
Problem
If
f
f
f
is continuous on
[
1
,
4
]
[1,4]
[
1
,
4
]
and
F
(
x
)
=
∫
1
x
f
(
t
)
d
t
F(x)=\displaystyle\int_{1}^{x} f(t)\,dt
F
(
x
)
=
∫
1
x
f
(
t
)
d
t
, then
d
d
x
[
F
(
x
)
]
\dfrac{d}{dx}\bigl[F(x)\bigr]
d
x
d
[
F
(
x
)
]
equals a)
F
(
x
)
F(x)
F
(
x
)
b)
∫
1
x
f
′
(
t
)
d
t
\displaystyle\int_{1}^{x} f'(t)\,dt
∫
1
x
f
′
(
t
)
d
t
c)
f
(
x
)
f(x)
f
(
x
)
d)
f
′
(
x
)
f'(x)
f
′
(
x
)
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