Integral tan(x)?Date: 6/10/96 at 10:49:10 From: Anonymous Subject: Integral tan(x)? What is the antiderivative of the function tan(x)? Date: 6/10/96 at 11:18:24 From: Doctor Anthony Subject: Re: Integral tan(x)? Write tan(x) = sin(x)/cos(x) So INT[sin(x)/cos(x).dx] is what we require. Put cos(x) = u then -sin(x).dx = du So INT[-du/u] = -ln(u) + const = -ln(cos(x)) + const = ln(sec(x)) + const. -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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