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I have a headache... (1 Viewer)

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literally...stupid cold weather... :chainsaw:

anyways...
Integrate cos^2(2x)...i know you have to use that cos2x=2cos^2(x)-1 property...but wat happens to the "2x" in the integration...if u can understnad what i'm trying to say...argh...stupid headache... >.<
 

CrashOveride

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cos 4x = cos^2 2x - sin^2 2x

sin^2(2x) = 1 - cos^2(2x)
sub in, rearrange for ur cos^2 (2x)

shud get integral I: 1/2 (cos4x + 1)

Then its over to you
 

Calculon

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...../
1/2|cos4x + 1 dx
...../

sin4x/8 + x/2 + c
 

Calculon

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Originally posted by CrashOveride
1/8sin(4x)...could be misinterpreted the other way
that could mean (8sin4x)<sup>-1</sup>
 

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