Problem 11: Find the power series representation for f(x) = -cos² x by first, differentiating -cos² x, then finding a power series for this derivative. Finally, integrate to find the power series for-cos² x. (Don't forget to find C).
Problem 11: Find the power series representation for f(x) = -cos² x by first, differentiating -cos² x, then finding a power series for this derivative. Finally, integrate to find the power series for-cos² x. (Don't forget to find C).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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11
![Problem 11:
Find the power series representation for f(x) = -cos² x by first, differentiating -cos² x,
then finding a power series for this derivative. Finally, integrate to find the power series
for-cos² x. (Don't forget to find C).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbc57344-aee0-4c7a-83a5-ce0e8c0e16d3%2Fe7975c0f-bf7b-44b2-9c19-b00ffcc326e2%2Funncbf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 11:
Find the power series representation for f(x) = -cos² x by first, differentiating -cos² x,
then finding a power series for this derivative. Finally, integrate to find the power series
for-cos² x. (Don't forget to find C).
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