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## Homework Statement

Last week, the Professor of the class I'm taking jotted down some even and odd exponent rules of thumb to make life easier when integrating various trig functions. Rules like if you have sinx and cosx and one of the trig functions is odd, then split, use an identity and the U-Sub..etc.

My question is: is this a straight forward integration based on the above mentioned type of rules?

[itex]\int sec(x)tan^{2}(x)[/itex]

If I replace the tan^{2}x with its identity (sec^{2}x - 1) I end up with sec^{3} again with an additional secx.

This looks more tricky than simply being able to use those rules.

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