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Mathematics
Mathematics
Problem
Let
P
(
x
)
=
x
2
∫
2
x
x
2
(
3
t
2
+
1
)
d
t
P(x)=x^{2}\displaystyle\int_{2x}^{x^{2}} \bigl(3t^{2}+1\bigr)\,dt
P
(
x
)
=
x
2
∫
2
x
x
2
(
3
t
2
+
1
)
d
t
for
x
>
0
x>0
x
>
0
. What is
P
′
(
1
)
P'(1)
P
′
(
1
)
? a)
34
34
34
b)
−
34
-34
−
34
c)
−
18
-18
−
18
d)
−
16
-16
−
16
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