lunes, 23 de marzo de 2020

integral de producte integral exponencial


∫ [ ( f(x) )^{n} ] D[x] = e^{(1/(n+1))·( f(x) )^{(n+1)}} [v(x)v] ( e^{f(x)} )^{[v(x)v](-1)}


∫ [ ( ax^{2}+bx )^{n} ] D[x] = ...
... e^{(1/(n+1))·( ax^{2}+bx )^{(n+1)}} [v(x)v] e^{(1/(2a))·ln(2ax+b)}


∫ [ ( ax^{3}+bx^{2}+cx )^{n} ] D[x] = ...
... e^{(1/(n+1))·( ax^{3}+bx^{2}+cx )^{(n+1)}} [v(x)v] ...
... e^{ln(3ax^{2}+2bx+c)} [v(x)v] e^{(1/(6a))·ln(6ax+2b)}

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