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Mathematics
Problem
Let
G
(
x
)
=
∫
0
x
(
2
e
3
t
+
t
2
)
d
t
G(x)=\displaystyle\int_{0}^{x} \bigl(2e^{3t}+t^{2}\bigr)\,dt
G
(
x
)
=
∫
0
x
(
2
e
3
t
+
t
2
)
d
t
. Find
G
′
(
1
)
G'(1)
G
′
(
1
)
. a)
6
e
3
+
1
6e^{3}+1
6
e
3
+
1
b)
e
3
+
2
e^{3}+2
e
3
+
2
c)
2
e
3
+
1
2e^{3}+1
2
e
3
+
1
d)
2
e
3
−
1
2e^{3}-1
2
e
3
−
1
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