aluate 9/ sin(x) cos(x) dx by four methods.

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...
icon
Related questions
Question
valuate 9/ sin(x) cos(x) dx by four methods.
(a) the substitution u = cos(x)
O2 sin(2x) + C
2 cos(2x) + C
O2 sin(x) cos(x) + C
4
o -2 sin?(x) + C
0-목cos2(x) + c
(b) the substitution u =
sin(x)
복 sin2(x) + C
o -2 sin(2x) + c
4
2 sin(x) cos(x) + c
을 cos2(x) + C
2
○봉 cos(2x) + C
4
(c) the identity sin(2x) = 2 sin(x) cos(x)
0을 cos2(x) + C
2
·봉 cos(2x) + C
0봉 sin(2x) + C
O -2 sin(x) cos(x) + C
4
0-목 sin2(x) + C
2
(d) integration by parts
옥 cos2(x) + C
O -2 sin(2x) + c
0 복 sin2(x) + C
O -2 sin(x) cos(x) + C
복 cos(2x) + C
Transcribed Image Text:valuate 9/ sin(x) cos(x) dx by four methods. (a) the substitution u = cos(x) O2 sin(2x) + C 2 cos(2x) + C O2 sin(x) cos(x) + C 4 o -2 sin?(x) + C 0-목cos2(x) + c (b) the substitution u = sin(x) 복 sin2(x) + C o -2 sin(2x) + c 4 2 sin(x) cos(x) + c 을 cos2(x) + C 2 ○봉 cos(2x) + C 4 (c) the identity sin(2x) = 2 sin(x) cos(x) 0을 cos2(x) + C 2 ·봉 cos(2x) + C 0봉 sin(2x) + C O -2 sin(x) cos(x) + C 4 0-목 sin2(x) + C 2 (d) integration by parts 옥 cos2(x) + C O -2 sin(2x) + c 0 복 sin2(x) + C O -2 sin(x) cos(x) + C 복 cos(2x) + C
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning