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Integration

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


Asked for your thread to be moved to Maths


You'd be interested in recognition and tan^2x
(edited 6 years ago)
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Notnek
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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?
Use the identity tanx=sinx/cosx and use the u substitution u=cosx
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 sec⁡xtan⁡x\sec{x}\tan{x} is the derivative of sec⁡x\sec{x}. 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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