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Mathematics
Problem
Let
h
(
x
)
=
3
x
2
−
4
x
−
1
/
2
+
5
x
−
4
h(x)=3x^{2}-4x^{-1/2}+5x^{-4}
h
(
x
)
=
3
x
2
−
4
x
−
1/2
+
5
x
−
4
. a. (i) Determine the most general antiderivative
H
(
x
)
H(x)
H
(
x
)
of
h
(
x
)
h(x)
h
(
x
)
, simplifying each term. b. (ii) If
H
(
2
)
=
7
H(2)=7
H
(
2
)
=
7
, find the particular antiderivative that satisfies this condition.
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