Tích phân \(\int\limits_0^1 {\frac{1}{{2x + 5}}dx} \) bằng

* Hướng dẫn giải

\(\int\limits_0^1 {\frac{1}{{2x + 5}}dx}  = \frac{1}{2}\int\limits_0^1 {\frac{{d\left( {2x + 5} \right)}}{{2x + 5}}}  = \left. {\frac{1}{2}\ln \left| {2x + 5} \right|} \right|_0^1 = \frac{1}{2}\ln 7 - \frac{1}{2}\ln 5 = \frac{1}{2}\ln \frac{7}{5}\)