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.
TentArea
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Imports
Init
Verification.TentIntegral
Imported by
Verification
.
integral_medianTent
← Mathematical handbook
Exact area of a median tent
#
source
theorem
Verification
.
integral_medianTent
{
r
:
ℝ
}
(
hr0
:
0
≤
r
)
(
hr1
:
r
≤
1
)
:
∫
(
v
:
↑
unitInterval
)
,
medianTent
r
↑
v
=
r
^
2
/
4
Includes the degenerate tent
r=0
and the full-width tent
r=1
.