Integrate the following
tan(3x)^2 * sec(3x)^3 dx
....
I'm sure there's some sort of identity I'm not remembering/seeing... I would know what to do if sec had an even power...or if tan had an odd power....

Question

Integrate the following
tan(3x)^2 * sec(3x)^3 dx
....
I'm sure there's some sort of identity I'm not remembering/seeing... I would know what to do if sec had an even power...or if tan had an odd power....

anonymous · Answer

$$tan^2x=sec^2x-1$$

anonymous · Answer

$$tan^2 3x=sec^2 3x -1$$

anonymous · Answer

$$\int\limits (\sec^5(3x) - \sec^3(3x))dx$$
Is there a quick way to get to the answer without using reduction forms? Because aren't supposed to use them....

anonymous · Answer

Annnnnnnnyone know? Made it through all the other problems on my assignment, and this is the only one I'm having trouble with.

perl · Answer

derivative of tan is sec^2 , so