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=∫tanx(tan²;x)dx =∫tanx(sec²;x-1)dx =∫tanxsec²;xdx-∫tanxdx =∫tanxdtanx-∫(sinx/cosx)dx =(tan²;x)/2-∫-dcosx/cosx =(tan²;x)/2+ln|cosx|+C
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