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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
∫
5
x
ln
(
t
)
d
t
g(x)=\displaystyle\int_{5}^{x} \ln(t)\,dt
g
(
x
)
=
∫
5
x
ln
(
t
)
d
t
. Which of the following equals
g
′
(
x
)
g'(x)
g
′
(
x
)
? a)
1
x
\dfrac{1}{x}
x
1
b)
ln
(
x
)
−
ln
(
5
)
\ln(x)-\ln(5)
ln
(
x
)
−
ln
(
5
)
c)
ln
(
x
)
\ln(x)
ln
(
x
)
d)
∫
5
x
1
t
d
t
\displaystyle\int_{5}^{x}\dfrac{1}{t}\,dt
∫
5
x
t
1
d
t
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