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Integral Calculus

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Joined: 14 Dec 2009
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9 Feb 2010 11:46:17 IST
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tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1
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tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1


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Yagyadutt Mishra's Avatar

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Joined: 19 Feb 2009
Posts: 1983
9 Feb 2010 13:58:21 IST
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 arc tanx = tan^-1x   {notation}

 

arc tan ( a+b/1-ab) = arc tan(a) + arc tan(b)

 

arc tan ( 2x-1/1+x-x^2)  = arc tan [(x + x-1)/{1 -x(x-1)} ]

 

arc tan (2x-1/1+x-x^2)  = arc tan(x) + arc tan (x-1)

 

Integerate it and apply the limit




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