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2018 Iran MO (1st Round)
7
Enclosed area under the graph - Iran First Round 2018, P7
Enclosed area under the graph - Iran First Round 2018, P7
Source:
March 6, 2021
floor function
Precalculus
Problem Statement
What is the enclosed area between the graph of
y
=
⌊
10
x
⌋
+
1
−
x
2
y=\lfloor 10x \rfloor + \sqrt{1-x^2}
y
=
⌊
10
x
⌋
+
1
−
x
2
in the interval
[
0
,
1
]
[0,1]
[
0
,
1
]
and the
x
x
x
axis?
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