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Ask community Community Discussion Question: integrate tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1
Reply Forum Index -> Integral Calculus originally posted here on IIT-JEE / AIEEE community   
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[Post New] 9 Feb 2010 13:30:18 IST
   Subject: integrate tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1
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shubham (2)

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integrate tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1
    

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[Post New] 9 Feb 2010 13:50:12 IST
   Subject: integrate tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1
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Yagyadutt Mishra (4196)

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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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