Find the integral of the function f(x,y,z) = x2 + y² in spherical coordinates over the region in the first octant outside the sphere x2 + y2 +z2 = 12z and inside the sphere x2 + y2 +z2 = 144. Remark: recall that the first octant consists of the region with x20, y20, z20. 02 42 p2 01 p1 p1 01 = 02 = 01 = $2 = p1 = p2 =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the integral of the function f(x,y,z) = x2 + y2 in spherical coordinates over the region in the first octant outside the sphere x2 + y2 + z2 = 12z and inside the sphere x2 + y2 + z2 = 144.
Remark: recall that the first octant consists of the region with x20, y> 0, z20.
%3D
92 ф2 р2
|Odp dø de
01 ф1 р1
01 =
02 =
$1 =
%3D
42 =
p1 =
p2 =
%3D
Transcribed Image Text:Find the integral of the function f(x,y,z) = x2 + y2 in spherical coordinates over the region in the first octant outside the sphere x2 + y2 + z2 = 12z and inside the sphere x2 + y2 + z2 = 144. Remark: recall that the first octant consists of the region with x20, y> 0, z20. %3D 92 ф2 р2 |Odp dø de 01 ф1 р1 01 = 02 = $1 = %3D 42 = p1 = p2 = %3D
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