How do you use partial fraction decomposition to decompose the fraction to integrate #(x+2)/(x^3-2x^2+x)#?
Factor the denominator:
(When I was learning this is was clearest to me to get a common denominator on the left. So I'll show it that way.)
Regrouping and setting the numerators equal to each other, we get:
# = 0x^2+1x+2#
From the first and last equation we can see that:
Substituting in the middle equation, we find that