Source TeX:

\left. \begin{aligned}\int \dfrac{ax+b}{x^{2}+px+q} dx&=\int\dfrac{A}{x-\alpha}dx+\int \dfrac{B}{x-\beta} dx\\&=A \ln\vert x -\alpha\vert+B \ln\vert x -\beta\vert+c,\;\; c\in \mathbb{R}.\end{aligned}\right.