dd cos² x. tan x, and use u = tan x. Split off sec x tan x, rewrite the rem terms of sec x, and use u = sec x. Rewrite the even power of tan x in mial in sec x; apply reduction form 15-24. Integrals of sin x and cos x I sin 15. 17. sin² x cos² x dx I sin³x c sin³ x cos² x dx

Calculus: Early Transcendentals
8th Edition
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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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help with question 23, please explain every steps.

dd
cos²x.
even
rals.
tan x, and use u = tan x.
Split off sec x tan x, rewrite the remaining even powe
terms of sec x, and use u = sec x.
Rewrite the even power of tan x in terms of secx to p
mial in sec x; apply reduction formula 4 to each term
15-24. Integrals of sin x and cos x Evaluate the folle
J
15.
17.
19.
21.
23.
25.
J
27.
sin² x cos² x dx
J
sin³ x cos² x dx
S
[s
s
cos³ x V sin x dx
-2
sin5 x cos ² x dx
sin² x cos4 x dx
s
tan² x dx
16.
cot* x dx
18.
20.
22.
24.
25-30. Integrals of tan x or cotx Evaluate the follo
/6
26.
sin³ x co
28.
sin
sin² x co
J
sin³ x co
J
sin-3/2 x
sin³ x co
sin
4
6 sec* x
/12
tan³0 de
Transcribed Image Text:dd cos²x. even rals. tan x, and use u = tan x. Split off sec x tan x, rewrite the remaining even powe terms of sec x, and use u = sec x. Rewrite the even power of tan x in terms of secx to p mial in sec x; apply reduction formula 4 to each term 15-24. Integrals of sin x and cos x Evaluate the folle J 15. 17. 19. 21. 23. 25. J 27. sin² x cos² x dx J sin³ x cos² x dx S [s s cos³ x V sin x dx -2 sin5 x cos ² x dx sin² x cos4 x dx s tan² x dx 16. cot* x dx 18. 20. 22. 24. 25-30. Integrals of tan x or cotx Evaluate the follo /6 26. sin³ x co 28. sin sin² x co J sin³ x co J sin-3/2 x sin³ x co sin 4 6 sec* x /12 tan³0 de
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