Help with anti derivatives please

anti derivative (x^5 - x^3 +6x)/x^4

the answer is not
x^4 -6/2x^2 - lnx +C

thanks ten points
at least the computer keeps telling me its wrong

1st divide each term by the x^4 to get

x-1/x +6/x^3

now integrate each term 1 by 1

x^2/2 -lnx - 3 /x^2

int((x^5-x^3+6x)/x^4)= int (x- 1/x + 6/x^3)
=(x^2)/2- ln|x|-3/x^2 +c