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When I try to integrate tan^5x in wolfram alpha I get (1/4) [ secx^4 - 4 secx^2 - 4 ln(cosx) ] http://www.wolframalpha.com/input/?i=integrate%20tanx%5E5&t=crmtb01 but when I work it out by hand I get (1/4) tanx^4 - (1/2) tanx^2 - ln|cosx| ...