(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int[/tex]1/(s[tex]^{2}[/tex](s-1)[tex]^{2}[/tex]) ds

2. Relevant equations

Partial Fractions

3. The attempt at a solution

= [tex]\frac{A}{s^{2}}[/tex]+[tex]\frac{B}{s-1}[/tex]+[tex]\frac{C}{(s-1)^{2}}[/tex]

Setting numerators equal to each other:

1 = A(s-1)(s-1)[tex]^{2}[/tex] + Bs[tex]^{2}[/tex](s-1)[tex]^{2}[/tex]+Cs[tex]^{2}[/tex](s-1)

1=(As-A)(s[tex]^{2}[/tex]-2s+1)+Bs[tex]^{2}[/tex](s[tex]^{2}[/tex]-2s+1)+Cs[tex]^{3}[/tex]+Cs[tex]^{2}[/tex]

1=As[tex]^{3}[/tex]-2As[tex]^{2}[/tex]+As-As[tex]^{2}[/tex]+2As-A+Bs[tex]^{4}[/tex]-2Bs[tex]^{3}[/tex]+Bs[tex]^{2}[/tex]+Cs[tex]^{3}[/tex]-Cs[tex]^{3}[/tex]+Cs[tex]^{2}[/tex]

1=Bs[tex]^{4}[/tex]+(A-2B+C)s[tex]^{3}[/tex]+(-3A+B-C)s[tex]^{2}[/tex]+3As-A

Using coefficients to solve for variables (here's where something is up!)

s[tex]^{4}[/tex]: 0=B

s[tex]^{3}[/tex]: 0=A-2B+C

s[tex]^{2}[/tex]: 0=-3A+B-C

s: 0=3A

#: 1=-A

They don't add up! Am I doing something wrong?

Thank you for everyone's time and help!

**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!

# Homework Help: Partial Fractions Help - Calc II Integration

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