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Integration Help please
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\[\int\limits dx/4\cos^32x-3\cos2x\]
the answer is :\[1/6 \ \\log[\sec6x+\tan6x]+C\]
how will i get this answer please help
\[\int\limits\limits \frac{ 1 }{ 4\cos^3(2x)-3\cos(2x) }dx?\]
yes
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look up formula of cos(3x)
4cos^x-3cosx right?
yeah cos^3x :)
yeah :) sorry
So then you can just do a u - sub and then let cos(3u) = 3cos^3(u)-3cos(u), rational you genius!
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4cos*
so what will it be like?
u = 2x
then you can integrate 1/cos(3u) normaly
\[\frac{ 1 }{ 2 } \int\limits \frac{ 1 }{ \cos(3u) }du\]
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hey its cos6x
Just work it out and I'm sure you'll get it eventually :)
i mean |dw:1427180856753:dw|
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