Întrebare o integrala

Da, este corect, cu completarea:

\(\int_{0}^{\pi}ln\left ( sint \right )dt=\int_{0}^{\frac{\pi}{2}}ln\left ( sint \right )dt+\int_{\frac{\pi}{2}}^{\pi}ln\left ( sint \right )dt\) si

\(\int_{0}^{\frac{\pi}{2}}ln\left ( sint \right )dt=\int_{\frac{\pi}{2}}^{\pi}ln\left ( sint \right )dt\).