Tìm nguyên hàm \(\int {\frac{1}{{1 - 2x}}} {\rm{d}}x\).

A. \(\int {\frac{1}{{1 - 2x}}} {\rm{d}}x = \ln \left| {\frac{1}{{1 - 2x}}} \right| + C.\)

B. \(\int {\frac{1}{{1 - 2x}}} {\rm{d}}x = \frac{1}{2}\ln \left| {\frac{1}{{1 - 2x}}} \right| + C.\)

C. \(\int {\frac{1}{{1 - 2x}}} {\rm{d}}x = \ln \left| {1 - 2x} \right| + C.\)

D. \(\int {\frac{1}{{1 - 2x}}} {\rm{d}}x = \frac{1}{2}\ln \left| {1 - 2x} \right| + C.\)