[25/² – 36 dz Evaluate the integral: (A) Which trig substitution is correct for this intearal?

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...
Question
(25V – 36
Evaluate the integral:
(A) Which trig substitution is correct for this integral?
Oz = 25 sin(0)
I = 36 tan(e)
6 sec(0)
6 sin(8)
6 tan(8)
36 sec(0)
(B) Which integral do you obtain after substituting for z and simplifying?
Note: to enter 0, type the word theta.
2.
25
36
sin (0) cos (0)
de
(C) What is the value of the above integral in tems of 0
25
3
sin" (0)
108
(D) What is the value of the original integral in terms of z?
25
36 3
108
Transcribed Image Text:(25V – 36 Evaluate the integral: (A) Which trig substitution is correct for this integral? Oz = 25 sin(0) I = 36 tan(e) 6 sec(0) 6 sin(8) 6 tan(8) 36 sec(0) (B) Which integral do you obtain after substituting for z and simplifying? Note: to enter 0, type the word theta. 2. 25 36 sin (0) cos (0) de (C) What is the value of the above integral in tems of 0 25 3 sin" (0) 108 (D) What is the value of the original integral in terms of z? 25 36 3 108
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