(x-3)e^x/(x-1)³=

(x-1-2)e^x/(x-1)³=e^x((x-1)-2)/(x-1)³

hey im not using int sign plz tc of that

e^x(x-1)/(x-1)³-2e^x/(x-1)³

=e^x(1/(x-1)²-2/(x-1)³)

know take 1/(x-1)² as a function for which derivative is -2/(x-1)³

so the above int is in the form of e^x(f(x)+(f¹)) fo r which ans will be in the form of e^x(f(x))

therefore ans for above int is e^x/(x-1)²

hope its clear

if not ask me