7. Use integration by parts to prove that for any positive integer n, | cos"x dx = 1 cosn-1xx+ n - 1 " cosn-2x dx n

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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7. Use integration by parts to prove that for any positive integer n,
| cos"x dx =
1
cosn-lxx+
n
ex+",'( cos"-2x dx
n
Transcribed Image Text:7. Use integration by parts to prove that for any positive integer n, | cos"x dx = 1 cosn-lxx+ n ex+",'( cos"-2x dx n
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