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Mathematics
Mathematics
Problem
Let
h
h
h
be continuous with
∫
−
2
1
h
(
x
)
d
x
=
6
\displaystyle\int_{-2}^{1} h(x)\,dx = 6
∫
−
2
1
h
(
x
)
d
x
=
6
and
∫
1
4
h
(
x
)
d
x
=
−
2
\displaystyle\int_{1}^{4} h(x)\,dx = -2
∫
1
4
h
(
x
)
d
x
=
−
2
. If also
∫
−
2
4
[
h
(
x
)
+
p
]
d
x
=
7
\displaystyle\int_{-2}^{4}[h(x)+p]\,dx = 7
∫
−
2
4
[
h
(
x
)
+
p
]
d
x
=
7
, where
p
p
p
is a constant, find the value of
p
p
p
.
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