the ng tan (3r) sec" (3r) dx. (i) By using the substitution u = 3a, transform the original integral in the form f(u) d Write down f (u). (ii) Start with part (i) and use 0= sec u and solve the integral in terms of u. (iii) Hence evaluate tan (3r) sec" (3r) dr. (b) Let m and n be integers such that0

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
1. (a) Consider the following integral:
tan (3z) sec (3x) dr.
(i) By using the substitution u =
3a. transform the original integral in the form
f(u) du.
Write down /(u).
(1i) Start with part (i) and use d
sec u and solve the integral in terms of u.
(iii) Hence evaluate
tan (3r) see (3.r) dr.
(b) Let m and n be integers such that 0<m<n, If
sin(my) cos(ny) dy = cos() - cos()-
13T
COS
13
26
13
find values of m and n and verify that they satisfy all the conditions given.
Transcribed Image Text:1. (a) Consider the following integral: tan (3z) sec (3x) dr. (i) By using the substitution u = 3a. transform the original integral in the form f(u) du. Write down /(u). (1i) Start with part (i) and use d sec u and solve the integral in terms of u. (iii) Hence evaluate tan (3r) see (3.r) dr. (b) Let m and n be integers such that 0<m<n, If sin(my) cos(ny) dy = cos() - cos()- 13T COS 13 26 13 find values of m and n and verify that they satisfy all the conditions given.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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