Question

$$\int\{\frac{3}{5(1-x)}+\frac{3x-2}{5(x^{2}+4)}\}dx$$

Evaluate

$\frac{3\ln(x^{2}+4)}{10}-\frac{3\ln(|1-x|)}{5}-\frac{\arctan(\frac{x}{2})}{5}+С$

Differentiate w.r.t. x

$\frac{x+2}{\left(1-x\right)\left(x^{2}+4\right)}$