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Integral Calculus

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21 Jan 2012 09:21:21 IST
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Integration of tan
Mathematics

what is the integration of( tan inverse x) whole square


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Vishal U. Karve's Avatar

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21 Jan 2012 12:36:35 IST
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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.

Vishal U. Karve's Avatar

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21 Jan 2012 12:37:19 IST
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See:

http://malaysia.answers.yahoo.com/question/index?qid=20100125030601AA3vO51

Vishal U. Karve's Avatar

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21 Jan 2012 12:38:59 IST
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Better see :

http://integrals.wolfram.com/index.jsp?expr=x+tan+x&random=false

alok vats's Avatar

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22 Jan 2012 18:09:48 IST
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nice info brother ..my sir had told me abt this .but never give me solution .....regards !!!!
alok vats's Avatar

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22 Jan 2012 18:12:46 IST
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bt hez askng abt tan inverse whole square's integral .... ;-(



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