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cho e hoi tinh nguyen ham cua sin(2x+1) nhan cos(3x-1)
\[\begin{array}{l}
\int {\sin \left( {2x + 1} \right).\cos \left( {3x - 1} \right)} dx = \frac{1}{2}\int {\left[ {\sin \left( {5x} \right) + \sin \left( { - x + 2} \right)} \right]} dx\\
= \frac{1}{{2.5}}\int {\left[ {\sin \left( {5x} \right)} \right]} d\left( {5x} \right) - \frac{1}{2}\int {\sin \left( { - x + 2} \right)} d\left( { - x + 2} \right)\\
= \frac{{ - 1}}{{10}}\cos 5x + \frac{1}{2}\cos \left( { - x + 2} \right) +C
\end{array}\]
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