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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
25
−
x
2
p(x)=\sqrt{25-x^{2}}
p
(
x
)
=
25
−
x
2
for
−
5
≤
x
≤
5
-5\le x\le 5
−
5
≤
x
≤
5
. Evaluate
∫
−
5
5
p
(
x
)
d
x
\displaystyle\int_{-5}^{5} p(x)\,dx
∫
−
5
5
p
(
x
)
d
x
and give an exact value.
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