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Homework Statement
solve the integral.
Homework Equations
integral (sec(x)^2 / 4+tan(x)^2)
The Attempt at a Solution
i tried replacing the numerator with the trig identity: tan(x)^2 + 1 -- but not sure what else to try.
^{ I wouldn't do this, but I would take a look at tanx and what the derivative is, it does become pretty hard though and you need a trig substitution afterwards, I think I did this exact problem before.}The first thing I would do is replace sec^{2}(x) with 1/cos^{2}(x) and replace tan^{2}(x) with sin^{2}(x)/cos^{2(x).}