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# Integration watch

1. How to integrate tan(x) /cos^2(x)?
2. (Original post by CelaenSardothien)
How to integrate tan(x) /cos^2(x)?

You'd be interested in recognition and tan^2x
3. (Original post by CelaenSardothien)
How to integrate tan(x) /cos^2(x)?
= tan(x)sec^2(x).

Notice that sec^2(x) is the derivative of tan(x). Does that help?
4. Use the identity tanx=sinx/cosx and use the u substitution u=cosx
5. (Original post by Notnek)
= tan(x)sec^2(x).

Notice that sec^2(x) is the derivative of tan(x). Does that help?
Or alternatively notice that is the derivative of . Which gives a different looking answer but it's only different by a constant. (Just putting this out there in case any confusion arises.)

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