Evaluate the following integral in The integral spherical coordinates. calculates the volume of the figure to the right, which is not drawn to scale. π π4 8 2 SS S p² sin dp de de o 0 0 4 sec π |寸 4 X N8 Z 8 4 y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Evaluate the following integral in
spherical coordinates. The integral
calculates the volume of the figure to
the right, which is not drawn to
scale.
尺寸
π 4
8
SS S p² sin
p² sin dp do de
0 0 4 seco
π
π 4
8
SS S
0 0 4 sec 4
(Type an exact answer, using it as needed.)
p² sin
sin o dp do de=
2
R|+
4
X
N ∞
8
4
y
Transcribed Image Text:Evaluate the following integral in spherical coordinates. The integral calculates the volume of the figure to the right, which is not drawn to scale. 尺寸 π 4 8 SS S p² sin p² sin dp do de 0 0 4 seco π π 4 8 SS S 0 0 4 sec 4 (Type an exact answer, using it as needed.) p² sin sin o dp do de= 2 R|+ 4 X N ∞ 8 4 y
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