Calcular la integral $\int\frac{3x^3-x+1}{\left(x^2-x-7\right)\left(x^2+2x-3\right)}dx$

 Gráfico de la Función

Gráfico de: $\frac{316\sqrt{29}\ln\left(\frac{2\left(x-\frac{1}{2}\right)}{\sqrt{29}}-1\right)}{1015}+\frac{-316\sqrt{29}\ln\left(\frac{2\left(x-\frac{1}{2}\right)}{\sqrt{29}}+1\right)}{1015}-\frac{26}{35}\ln\left(\sqrt{\left(x-\frac{1}{2}\right)^2-\frac{29}{4}}\right)-\frac{3}{28}\ln\left(x-1\right)+\frac{77}{20}\ln\left(x+3\right)+C_2$