Evaluate the integral

$$\int \frac{2x^2 + 5x + 3}{(x - 2)^2(x^2 + x + 1)} dx$$

a. Resolve

$$\frac{2x^2 + 5x + 3}{(x - 2)^2(x^2 + x + 1)}$$

into Partial fractions
b. After Partial Fraction, integrate the result.