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Mathematics
Problem
Let
G
G
G
be a differentiable function such that
G
(
1
)
=
3
G(1)=3
G
(
1
)
=
3
and
G
′
(
x
)
=
h
(
x
)
G'(x)=h(x)
G
′
(
x
)
=
h
(
x
)
for all real
x
x
x
. Which of the following expressions equals
G
(
5
)
G(5)
G
(
5
)
? a)
3
+
∫
5
1
h
(
t
)
d
t
3+\displaystyle\int_{5}^{1} h(t)\,dt
3
+
∫
5
1
h
(
t
)
d
t
b)
3
+
h
(
5
)
3+h(5)
3
+
h
(
5
)
c)
3
+
∫
1
5
h
(
t
)
d
t
3+\displaystyle\int_{1}^{5} h(t)\,dt
3
+
∫
1
5
h
(
t
)
d
t
d)
∫
1
5
h
(
t
)
d
t
\displaystyle\int_{1}^{5} h(t)\,dt
∫
1
5
h
(
t
)
d
t
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