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Mathematics
Problem
Let
k
k
k
be a continuous function such that
k
(
x
)
≥
0
k(x)\ge 0
k
(
x
)
≥
0
for all
x
x
x
in
[
2
,
5
]
[2,5]
[
2
,
5
]
. What geometric quantity is represented by the definite integral
∫
2
5
k
(
x
)
d
x
\displaystyle \int_{2}^{5} k(x)\,dx
∫
2
5
k
(
x
)
d
x
?
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