U-sub help

aname

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Joined
Dec 12, 2014
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I have a question regarding the antiderivative of this function

\(\displaystyle f(x)\, =\, \dfrac{1}{3\, \cos^2 (2x)}\)

the u is cos(2x), right? what do I do after that? If I take du, I end up with -2sin(2x)....
 
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I have a question regarding the antiderivative of this function

\(\displaystyle f(x)\, =\, \dfrac{1}{3\, \cos^2 (2x)}\)

the u is cos(2x), right? what do I do after that? If I take du, I end up with -2sin(2x)....

No...

u = 2x

\(\displaystyle \dfrac{1}{cos^2(u)} = sec^2(u)\)

Now continue....
 
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I have a question regarding the antiderivative of this function

\(\displaystyle f(x)\, =\, \dfrac{1}{3\, \cos^2 (2x)}\)

the u is cos(2x), right? what do I do after that? If I take du, I end up with -2sin(2x)....

What is the derivative of tan(x)?
 
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