4. Show that tan" tan" (x) dx = (), tan"-2(x)dx (n+ 1) п-1 п—1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 6YT
icon
Related questions
Topic Video
Question
100%

Using Calculus, show that the two expressions are equivalent when n != 1

4. Show that
tan"
tan" (x) dx =
(),
tan"-2(x)dx (n+ 1)
п-1
п—1
Transcribed Image Text:4. Show that tan" tan" (x) dx = (), tan"-2(x)dx (n+ 1) п-1 п—1
Expert Solution
Step 1

Consider the integral,

Calculus homework question answer, step 1, image 1

To show that the two expression are equivalent,

 

First calculate the left hand side integration,

Calculus homework question answer, step 1, image 2

Step 2

Calculus homework question answer, step 2, image 1

Calculus homework question answer, step 2, image 2

steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Propositional Calculus
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 For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,