Write out the form of the partial fraction decomposition of the function appearing in the integral:

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{-3x-189}{x^2+9x-22}dx$

Determine the numerical values of the coefficients, A and $B,$ where $AB.$

$\frac{A}{\text{d}\text{e}\text{n}\text{o}\text{m}\text{i}\text{n}\text{a}\text{t}\text{o}\text{r}}+\frac{B}{\text{d}\text{e}\text{n}\text{o}\text{m}\text{i}\text{n}\text{a}\text{t}\text{o}\text{r}}$

$A=,B=$