. Evaluate S sin' 2x cos 2x dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can you explain to me how to third line was got
. Evaluate S sin' 2x cos³2x dx
Solution:
S sin'2x cos32x dx =
S sin' 2x · cos²2x •cos 2x dx
S sin'2x (1 – sin2 2x) cos 2x dx
S sin' 2x cos 2x dx – J sin 2x cos 2x dx
= - Su° du
1
Su' du
2
1 u10
+ C
10
1
1
sin82x
16
1
sin10 2x + C
20
Transcribed Image Text:. Evaluate S sin' 2x cos³2x dx Solution: S sin'2x cos32x dx = S sin' 2x · cos²2x •cos 2x dx S sin'2x (1 – sin2 2x) cos 2x dx S sin' 2x cos 2x dx – J sin 2x cos 2x dx = - Su° du 1 Su' du 2 1 u10 + C 10 1 1 sin82x 16 1 sin10 2x + C 20
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