Evaluate the integral: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{x^{2}2x2}dx$

a$)ta{n}^{-1}(x1)C$

b$)\frac{1}{\sqrt[\phantom{2}]{2}}ta{n}^{-1}(\frac{x}{\sqrt[\phantom{2}]{2}})C$

c$)ln|x1|-ln|x2|C$

d$)-\frac{1}{x}\frac{1}{2}ln|x|\frac{1}{2}xC$

e$)$ None of the above answers

$2$