∫ tan^3(x) dx
= ∫ tanxtan^2(x) dx
= ∫ tanx(sec^2(x) - 1) dx
= ∫ tanxsec^2(x) dx - ∫ tanx dx
= ∫ tanx d(tanx) - ∫ d(- cosx)/cosx
= (1/2)tan^2(x) + ln|cosx| + C
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