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Integral Calculus
what is the integration of( tan inverse x) whole square
Put x=tan t , dx=sec2t dt,
You'll get integral t2.sec2t dt
Take t2 as first function and integrate by parts
you'll get an integral 2t.tan t dt
It does not exist in terms of elementary functions.It contains Polylogarithms.
See:
http://malaysia.answers.yahoo.com/question/index?qid=20100125030601AA3vO51
Better see :
http://integrals.wolfram.com/index.jsp?expr=x+tan+x&random=false
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Put x=tan t , dx=sec2t dt,
You'll get integral t2.sec2t dt
Take t2 as first function and integrate by parts
you'll get an integral 2t.tan t dt
It does not exist in terms of elementary functions.
It contains Polylogarithms.