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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
x
2
+
1
g(x)=x^{2}+1
g
(
x
)
=
x
2
+
1
and
h
(
x
)
=
x
h(x)=x
h
(
x
)
=
x
. Define
A
(
t
)
=
∫
0
t
(
g
(
x
)
−
h
(
x
)
)
d
x
A(t)=\displaystyle \int_{0}^{t} \bigl(g(x)-h(x)\bigr)\,dx
A
(
t
)
=
∫
0
t
(
g
(
x
)
−
h
(
x
)
)
d
x
. What is
A
(
2
)
A(2)
A
(
2
)
? a)
10
3
\dfrac{10}{3}
3
10
b)
4
3
\dfrac{4}{3}
3
4
c)
8
3
\dfrac{8}{3}
3
8
d)
20
3
\dfrac{20}{3}
3
20
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