*xsecx²tanx² + xsec²x²tanx? 1+ sec? x²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 80RE
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning