For each of the following integrations, choose the method that can be used to find its solution. Method A: Replacing cos²x by 1-sin²x. Method B: Replacing sin2 by 1 - cos² x. XC Method C: Replacing sec² by 1+tan²x. X Method D: Replacing tan² x by sec² x - 1. X 1+cos(2) Method E: Replacing cos²x by . 2 1-cos(2) Method F: can be solved by can be solved by can be solved by Replacing sin² by 2 π/2 15 15 cos² (x) sin³ (x) dx π/2 [*** sin²(a) dac dx */4 15 tan² (x) sec (x) dx Choose... Choose... Choose... ◆ ●

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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-f
For each of the following integrations, choose the method that can be used to find its solution.
Method A:
Replacing cos2 c by 1-sin²x.
Method B:
Replacing sin2 x by 1 - cos²x.
Method C:
Replacing sec2 x by 1+tan²
Method D:
Replacing tan² by sec² x - 1.
1+cos(2x)
Method E:
Replacing cos²x by
♥
2
1-cos(2)
Method F:
Replacing sin² by 2
π/2
* 15
15 cos² (x) sin³ (x) dx
can be solved by
Choose...
π/2
Choose...
["h sin² (x) dx
can be solved by
px/4
Choose...
15 tan² (x) sec (x) dx
can be solved by
Now compute the following definite integrations and choose the correct answer accordingly.
Choose...
π/2
15 cos² (x) sin³ (x) dx =
(π/2
Choose...
ain² (c) dr =
→
→
→
Transcribed Image Text:-f For each of the following integrations, choose the method that can be used to find its solution. Method A: Replacing cos2 c by 1-sin²x. Method B: Replacing sin2 x by 1 - cos²x. Method C: Replacing sec2 x by 1+tan² Method D: Replacing tan² by sec² x - 1. 1+cos(2x) Method E: Replacing cos²x by ♥ 2 1-cos(2) Method F: Replacing sin² by 2 π/2 * 15 15 cos² (x) sin³ (x) dx can be solved by Choose... π/2 Choose... ["h sin² (x) dx can be solved by px/4 Choose... 15 tan² (x) sec (x) dx can be solved by Now compute the following definite integrations and choose the correct answer accordingly. Choose... π/2 15 cos² (x) sin³ (x) dx = (π/2 Choose... ain² (c) dr = → → →
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