lunes, 20 de enero de 2020

integrals potencials


∫ [( f(x) )^{n}] d[x] = (1/(n+1))( f(x) )^{(n+1)} [o(x)o] ( f(x) )^{[o(x)o](-1)}


∫ [ ( ax^{2}+bx )^{n} ] d[x] = (1/(n+1))( ax^{2}+bx )^{(n+1)} [o(x)o] (1/2a)·ln(2ax+b)


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


∫ [ ( ax^{4}+bx^{3}+cx^{2}+dx )^{n} ] d[x] = ...
...(1/(n+1))( ax^{4}+bx^{3}+cx^{2}+dx )^{(n+1)} [o(x)o] ...
...( ln(4ax^{3}+3bx^{2}+2cx+d) [o(x)o] ln(12ax^{2}+6bx+2c) [o(x)o] (1/24a)·ln(24ax+6b) )

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