integrating stuff (1 Viewer)

[fashionista]

hey!! im stuck i don't think i've ever been taught how to integrate something like sin^2(3x)
please help!!!
luv me

 

[CrashOveride]

sin^2(3x):

cos(6x) = cos^2(3x) - sin^2(3x)
cos(6x) = 1 - 2sin^2(3x)

2sin^2(3x) = 1 - cos(6x)
sin^2(3x) = 1/2 [ 1 - cos(6x)]

So just integrate the RHS now.

--> 1/2 [ x - (1/6)sin(6x)] + C

 

[fashionista]

THANKS!!!!!!!!!!!