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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
x
3
3
+
C
x
p(x)=\dfrac{x^{3}}{3}+Cx
p
(
x
)
=
3
x
3
+
C
x
and let
q
(
x
)
=
x
2
+
5
q(x)=x^{2}+5
q
(
x
)
=
x
2
+
5
. Determine the value of the constant
C
C
C
that makes
p
p
p
an antiderivative of
q
q
q
on
R
\mathbb{R}
R
.
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