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Mathematics
Problem
Let
G
(
a
)
=
∫
0
a
2
1
+
t
3
d
t
G(a)=\displaystyle\int_{0}^{a^{2}} \sqrt{1+t^{3}}\,dt
G
(
a
)
=
∫
0
a
2
1
+
t
3
d
t
. Which of the following equals
G
′
(
a
)
G'(a)
G
′
(
a
)
? a)
a
1
+
a
6
a\sqrt{1+a^{6}}
a
1
+
a
6
b)
2
a
1
+
a
3
2a\sqrt{1+a^{3}}
2
a
1
+
a
3
c)
2
a
1
+
a
6
2a\sqrt{1+a^{6}}
2
a
1
+
a
6
d)
1
+
a
6
\sqrt{1+a^{6}}
1
+
a
6
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