Integrate: [ sin³ 3x cos5 3x dx [sin³ 3x cos³ 3x dx = [ {ITEM D1} dx = [((ITEM D2]) cos5 3x sin 3x dx cos5 3x sin 3x dx - dx - √ cos² 3x sin 3x dx ſ Let u = cos 3x du dx =f cos (ITEM D3} {ITEM D4} = sin 3x dx = =√₁² (du)-[₁² (²) 3 3 ={ITEM D5} = {ITEM D6} + {ITEM D7}+C

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
Problem 30EQ
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Complete the missing ones: (those highlighted ones)
Integrate:
S
sin³ 3x cos5 3x dx
[ sin³ 3x cos³ 3x dx = [ {ITEM D1} dx
= [((ITEM D2]) cos5 3x sin 3x dx
cos5 3x sin 3x dx.
x dx - [ cos²:
cos7 3x sin 3x dx
= cos53
Let u = cos 3x
du
dx
{ITEM D3}
{ITEM D4} = sin 3x dx
=
= [u³ (¯-du) - [ u² (¯-du)
3
3
={ITEM D5}
= {ITEM D6} + {ITEM D7} + C
Transcribed Image Text:Complete the missing ones: (those highlighted ones) Integrate: S sin³ 3x cos5 3x dx [ sin³ 3x cos³ 3x dx = [ {ITEM D1} dx = [((ITEM D2]) cos5 3x sin 3x dx cos5 3x sin 3x dx. x dx - [ cos²: cos7 3x sin 3x dx = cos53 Let u = cos 3x du dx {ITEM D3} {ITEM D4} = sin 3x dx = = [u³ (¯-du) - [ u² (¯-du) 3 3 ={ITEM D5} = {ITEM D6} + {ITEM D7} + C
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