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
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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).
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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