engineering recuitment Bihar LRC AMIN JE Civil Mock Test 2023 Mathematics Integral Calculus Indefinite Integrals
Evaluate \(\smallint \frac{{x - 1}}{{2x - 1}}\;dx\)
1
\(\frac{x}{2} - \frac{1}{2}\ln \left| {2x - 1} \right| + c\)
2
\(\frac{x}{2} - \frac{1}{{2\left( {2x - 1} \right)}} + c\)
3
\(\frac{1}{2} - \frac{1}{2}\ln \left| {2x - 1} \right| + c\)
4
\(\frac{x}{2} - \frac{1}{4}\ln \left| {2x - 1} \right| + c\)