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x-x-x-dx-




Question Number 160563 by qaz last updated on 02/Dec/21
∫x{x}[x]dx=?
x{x}[x]dx=?
Answered by mr W last updated on 02/Dec/21
[x]=n  {x}=x−n  ∫x{x}[x]dx  =∫x(x−n)ndx  =n((x^3 /3)−((nx^2 )/2))+C  =[x]x^2 ((x/3)−(([x])/2))+C
[x]=n{x}=xnx{x}[x]dx=x(xn)ndx=n(x33nx22)+C=[x]x2(x3[x]2)+C

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