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Mathematics
Problem
Let
F
(
x
)
=
∫
x
2
3
x
(
t
2
+
1
)
d
t
F(x)=\displaystyle\int_{x^{2}}^{3x} (t^{2}+1)\,dt
F
(
x
)
=
∫
x
2
3
x
(
t
2
+
1
)
d
t
. What is
F
′
(
x
)
F'(x)
F
′
(
x
)
? a)
27
x
2
+
3
+
2
x
5
+
2
x
27x^{2}+3+2x^{5}+2x
27
x
2
+
3
+
2
x
5
+
2
x
b)
9
x
2
+
1
−
2
x
5
−
2
x
9x^{2}+1-2x^{5}-2x
9
x
2
+
1
−
2
x
5
−
2
x
c)
27
x
2
+
3
−
2
x
5
−
2
x
27x^{2}+3-2x^{5}-2x
27
x
2
+
3
−
2
x
5
−
2
x
d)
2
x
5
+
2
x
−
27
x
2
−
3
2x^{5}+2x-27x^{2}-3
2
x
5
+
2
x
−
27
x
2
−
3
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