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Mar 10, 2015 at 17:08 comment added David Interesting. The commands Plot[-Sin[t] + Log[Sec[t] + Tan[t]], {t, -2 Pi, 2 Pi}, PlotRange -> All] and our hand calculated answer Plot[-Sin[t] + Log[Abs[Sec[t] + Tan[t]]], {t, -2 Pi, 2 Pi}, PlotRange -> All] give the same plots. Which is understandable because Reduce[Sec[t] + Tan[t] > 0, t [Element] Reals] // Simplify gives C[1] [Element] Integers && -([Pi]/2) < t - 2 [Pi] C[1] < [Pi]/2. By the way, is Rubi some sort of package you add to Mathematica. I ask this as I see you use the command rubiResult = Int[Cos[t] Tan[t]^2, t]; in your Mathematica code.
Mar 10, 2015 at 7:03 history answered Nasser CC BY-SA 3.0