*xsecx²tanx² + xsec²x²tanx? 1+ sec? x²

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
100%

Please elaborate this process. The rewrite part. 

* xsecx?tanx? + xsec?x?tanx?
1+ sec? x?
dx
Transcribed Image Text:* xsecx?tanx? + xsec?x?tanx? 1+ sec? x? dx
Expert Answer
Step 1
xsec x² tan x²+xsec² x? tan x² dr
The given integral is /
I+sec? x?
Rewrite as / sec x² tan x²+xwec² x² tan x² dx = ! /
I+sec? x?
2rsec x? tan x? (1+sec x?)
dx.
I+sec? x?
Substitute u = sec x? and du = 2x sec x² tan x² in the above integral and simplify as follows.
Transcribed Image Text:Expert Answer Step 1 xsec x² tan x²+xsec² x? tan x² dr The given integral is / I+sec? x? Rewrite as / sec x² tan x²+xwec² x² tan x² dx = ! / I+sec? x? 2rsec x? tan x? (1+sec x?) dx. I+sec? x? Substitute u = sec x? and du = 2x sec x² tan x² in the above integral and simplify as follows.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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