\[\int cosxsec^2xdx\]
I forgot how to do this integral manually
this is what wolf had to say
http://www.wolframalpha.com/input/?i=integral+of+cosxsec^2x
how how do I do it manually?

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Asking cos*sec^2, not cos/sec^2

Oh, sorry:
Cosx/Cos^2x = 1/Cosx = Secx

Well actually you'd keep it as 1/Cox, and use integration by parts

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