A. \(\int {\frac{2}{{4x - 3}}{\rm{d}}x} = \frac{1}{4}\ln \left| {4x - 3} \right| + C\)
B. \(\int {\frac{2}{{4x - 3}}{\rm{d}}x} = \frac{1}{2}\ln \left| {2x - \frac{3}{2}} \right| + C\)
C. \(\int {\frac{2}{{4x - 3}}{\rm{d}}x} = 2\ln \left| {4x - 3} \right| + C\)
D. \(\int {\frac{2}{{4x - 3}}{\rm{d}}x} = 2\ln \left| {2x - \frac{3}{2}} \right| + C\)
B
\(\int {\frac{2}{{4x - 3}}{\rm{d}}x} = \int {\frac{1}{{2x - \frac{3}{2}}}{\rm{d}}x} = \frac{1}{2}\int {\frac{{{\rm{d}}\left( {2x - \frac{3}{2}} \right)}}{{2x - \frac{3}{2}}}} = \frac{1}{2}\ln \left| {2x - \frac{3}{2}} \right| + C\)
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