Question

∫((x^2 -x-5)/(x-3)) dx

Please show work

Answer 1

∫[(x^(2)-x-5)/(x-3),x]
Partial fraction

x+2+(1)/(x-3)
let
u=x-3

dx=du

ln(|u|)+C

(x^(2))/(2)+2x+ln(|(x-3)|)+C

Answer 2

∫[(x^(2)-x-5)/(x-3),x]

whered you get the x at the end here?

Answer 3

thats dx, wrote it wrongly

Answer 4

oh okay, thank you for your help!

Answer 5

welcome

Answer 6

sam, in your solution, the final part, what is the x^2 over? all of it? or only 2?

Answer 7

sam?