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 Exercises 49–52. 2 c0 7/2 49. p' sin 2ф dф dө dp 7/3 р2 сscф (2п 50. р? sin ф d@ dp dф T/6 J csc o TT/4 51. 12p sin' ф dф dө dp -п/2 52. 5p'sin' ф dp d® dф TT/6 J -n/2 J csc

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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
Exercises 49–52.
2 c0
7/2
49.
p' sin 2ф dф dө
dp
7/3 р2 сscф (2п
50.
р? sin ф d@ dp dф
T/6 J csc o
TT/4
51.
12p sin' ф dф dө dp
-п/2
52.
5p'sin' ф dp d® dф
TT/6 J -n/2 J csc
Transcribed Image Text: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 Exercises 49–52. 2 c0 7/2 49. p' sin 2ф dф dө dp 7/3 р2 сscф (2п 50. р? sin ф d@ dp dф T/6 J csc o TT/4 51. 12p sin' ф dф dө dp -п/2 52. 5p'sin' ф dp d® dф TT/6 J -n/2 J csc
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