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Lorena_Santoro

New member
Dec 29, 2021
15
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
1,043
$\cos^3(2x) = [1-\sin^2(2x)]\cos(2x)$

use the substitution $u = \sin(2x) \implies du = 2\cos(2x) \, dx$

$\displaystyle \dfrac{1}{2} \int_0^1 1-u^2 \, du$

you can finish up from here
 

Lorena_Santoro

New member
Dec 29, 2021
15
$\cos^3(2x) = [1-\sin^2(2x)]\cos(2x)$

use the substitution $u = \sin(2x) \implies du = 2\cos(2x) \, dx$

$\displaystyle \dfrac{1}{2} \int_0^1 1-u^2 \, du$

you can finish up from here
Thank you!