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Question 20
Mu
Fundamental Theorem of Calculus
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Let
f
f
f
be positive, continuous, and differentiable with
f
(
0
)
=
20
f(0)=20
f
(
0
)
=
20
and
f
(
1
)
=
25
f(1)=25
f
(
1
)
=
25
. Evaluate
∫
0
1
(
d
d
(
∫
0
x
f
(
t
)
d
t
)
[
f
(
x
)
]
)
d
x
.
\int_0^1\left(\frac{d}{d\left(\int_0^x f(t)\,dt\right)}[f(x)]\right)\,dx.
∫
0
1
(
d
(
∫
0
x
f
(
t
)
d
t
)
d
[
f
(
x
)]
)
d
x
.
A.
ln
(
500
)
\ln(500)
ln
(
500
)
B.
5
C.
ln
(
4
5
)
\ln\left(\frac45\right)
ln
(
5
4
)
D.
ln
(
5
4
)
\ln\left(\frac54\right)
ln
(
4
5
)
E.
NOTA
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