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Mathematics
Mathematics
Problem
Define
F
(
t
)
=
∫
1
t
2
(
4
x
3
−
1
)
d
x
F(t)=\displaystyle\int_{1}^{t^{2}}\bigl(4x^{3}-1\bigr)\,dx
F
(
t
)
=
∫
1
t
2
(
4
x
3
−
1
)
d
x
for
t
>
0
t>0
t
>
0
. Determine
F
′
(
2
)
F'(2)
F
′
(
2
)
. a)
510
510
510
b)
2040
2040
2040
c)
1020
1020
1020
d)
255
255
255
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