28. [ TT/3 TT/6 2 csco csc o 2TT 0 p² sin o de dp do

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Changing the Order of Integration in Spherical Coordinates
The previous integrals suggest there are preferred orders of integra-
tion for spherical coordinates, but other orders give the same value
and are occasionally easier to evaluate. Evaluate the integrals in Exer-
cises 27-30.
28.
TT/3 2 csco
2TT
La La 1²
TT/6
csc o
p² sin o de dp do
Transcribed Image Text:Changing the Order of Integration in Spherical Coordinates The previous integrals suggest there are preferred orders of integra- tion for spherical coordinates, but other orders give the same value and are occasionally easier to evaluate. Evaluate the integrals in Exer- cises 27-30. 28. TT/3 2 csco 2TT La La 1² TT/6 csc o p² sin o de dp do
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