Evaluate ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^2+4}{x-1}dx$

Select one:

$a.\frac{x^2}{2}-x+5ln|x-1|+C$

$b.\frac{x^2}{2}+x+3ln|x-1|+C$

$c.\frac{x^2}{2}-x+3ln|x-1|+C$

$d.\frac{x^2}{2}+x+5ln|x-1|+C$