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Mathematics
Problem
Without evaluating the integral, explain in one or two sentences why there must exist at least one
c
∈
(
0
,
2
)
c\in(0,2)
c
∈
(
0
,
2
)
satisfying
∫
0
2
e
x
d
x
=
e
c
(
2
−
0
)
.
\int_{0}^{2} e^{x}\,dx = e^{c}\,(2-0).
∫
0
2
e
x
d
x
=
e
c
(
2
−
0
)
.
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