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