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Mathematics
Problem
The region under the curve
y
=
1
x
p
y=\dfrac{1}{x^{p}}
y
=
x
p
1
for
x
≥
1
x\ge 1
x
≥
1
has area
2
2
2
. Determine the value of
p
(
p
>
1
)
p\,(p>1)
p
(
p
>
1
)
that satisfies this condition.
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