سیگما

`Q=int (5x^3+2)/(x^3-5x^2+4x) dx`

`int 5+(25x^2-20x+2)/(x^3-5x^2+4x) dx`

`5x+int (25x^2-20x+2)/(x^3-5x^2+4x) dx`

`Q=5x+P`

`P=int (25x^2-20x+2)/(x^3-5x^2+4x)dx = int A/x+B/(x-1)+C/(x-4)dx`

`(25x^2-20x+2)/(x^3-5x^2+4x)=A/x+B/(x-1)+C/(x-4)`

`A=1/2,B=-7/3,C=161/6`

`P=ln|x|-7/3ln|x-1|+161/6ln|x-4|`

`Q=5x+ln|(x^(1/2)(x-4)^(161/6))/((x-1)^(7/3))|`