Talk:Risch algorithm: Difference between revisions

Revision as of 23:39, 8 May 2006

Revision as of 01:33, 10 May 2006

Line 41:

:Looks that way---I've changed it to ''g''. [[User:Michael Hardy|Michael Hardy]] 23:39, 8 May 2006 (UTC)

::If we have the equation ''g'' ′ = ''f'', then the anti-derivative of ''f'' is ''g'' (up to a constant): ʃ''f'' = ʃ''g'' ′ = ''g''. In the case that

:::<math> f = v^\prime + \sum_{i<n} \alpha_i \frac{u_i^{\prime}}{u_i} \,.</math>

::the anti-derivative is

:::<math> g = v + \sum \alpha_i \ln u_i </math>.

::Why not write it with the logarithms? Because I went to check Rosenlicht, and he stated the result in terms of ''f''.

::[[User:XaosBits|XaosBits]] 01:33, 10 May 2006 (UTC)