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Problem 5
2021 CMC (Non-Math Major) Problem 5
2021 CMC (Non-Math Major) Problem 5
Source: 2021 CMC (Non-Math Major) Problem 5
November 25, 2022
calculus
Problem Statement
Let
D
=
{
(
x
,
y
)
∣
x
2
+
y
2
≤
π
}
D=\{ (x,y)|x^2+y^2\le \pi \}
D
=
{(
x
,
y
)
∣
x
2
+
y
2
≤
π
}
. Find
∬
D
(
s
i
n
x
2
c
o
s
x
2
+
x
x
2
+
y
2
)
d
x
d
y
\iint\limits_D(sin x^2cosx^2+x\sqrt{x^2+y^2})dxdy
D
∬
(
s
in
x
2
cos
x
2
+
x
x
2
+
y
2
)
d
x
d
y
.
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