Last Problem: Partial Fractions Integration

[Lanza52]

Need a check on the last problem of my test:


integral (3x^2-8x+13)/(x^3+x^2-5x+3)

Factor for the denom is (x-1)(x-1)(x+3). So a/(x-1) + b/(x-1)^2 + c/(x+3) = the f(x) in the integral

Factor out and multiply all the polynomials. Comes down to a = -1, b = -2, c = 2

Integral comes to:

2/(x-1)+ln|(x+3)/(x-1)|+k

 

[Gib Z]

Sorry if I sound harsh, but check yourself. Find the derivative of your integral, and if it matches your integrand, then you are correct.