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Mathematics
Mathematics
Problem
For a continuous function
p
p
p
, it is known that
∫
1
7
p
(
x
)
d
x
=
2
\displaystyle\int_{1}^{7} p(x)\,dx=2
∫
1
7
p
(
x
)
d
x
=
2
and
∫
4
7
p
(
x
)
d
x
=
−
5
\displaystyle\int_{4}^{7} p(x)\,dx=-5
∫
4
7
p
(
x
)
d
x
=
−
5
. If
p
(
x
)
≥
0
p(x)\ge 0
p
(
x
)
≥
0
on
[
1
,
4
]
[1,4]
[
1
,
4
]
, find
∫
1
4
p
(
x
)
d
x
\displaystyle\int_{1}^{4} p(x)\,dx
∫
1
4
p
(
x
)
d
x
.
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