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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
9
−
x
2
f(x)=\sqrt{9-x^{2}}
f
(
x
)
=
9
−
x
2
for
−
3
≤
x
≤
3
-3\le x\le 3
−
3
≤
x
≤
3
. Find
∫
0
3
f
(
x
)
d
x
\displaystyle\int_{0}^{3} f(x)\,dx
∫
0
3
f
(
x
)
d
x
. a)
9
π
8
\dfrac{9\pi}{8}
8
9
π
b)
3
π
2
\dfrac{3\pi}{2}
2
3
π
c)
9
π
4
\dfrac{9\pi}{4}
4
9
π
d)
9
π
2
\dfrac{9\pi}{2}
2
9
π
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