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
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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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