Antideriv of trig function

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January 12th 2010, 02:23 PM
jebckr

Antideriv of trig function

∫(tan^2)x)(sec^2)x)
January 12th 2010, 02:27 PM
pickslides

$\int \tan^2(x)\sec^2(x)~dx$

make $u =\tan(x) \implies \frac{du}{dx}= sec^2(x)$

So

$\int u^2~du$

What do you think about that?
January 12th 2010, 02:44 PM
jebckr

Thanks so much! I didnt know I could use just tan(x) as u when it was squared in the problem

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