Hey, all! I'm learning partial fraction decomposition from Serge Lang's "A First Course in Calculus." In it, he gives the following example:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int\frac{x+1}{(x-1)^2(x-2)}dx [/tex]

He then decomposes this into the following sum:

[tex] \frac{x+1}{(x-1)^2(x-2)} = \frac{c_1}{x-1}+\frac{c_2}{(x-1)^2}+\frac{c_3}{x-2} [/tex]

My question is this: On the right hand side (RHS), ##x-1##and##(x-1)^2## appear. Why is this the case, when the original denominator only had the ##(x-1)^2##? I hope this makes sense, and any help here is greatly appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Partial Fraction Decomposition With Quadratic Term

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**