Nếu \(\int\limits_0^\pi {f\left( x \right)\,{\rm{d}}x} = 3\) thì \(\int\limits_0^\pi {\left[ {f\left( x
Nếu \(\int\limits_0^\pi {f\left( x \right)\,{\rm{d}}x} = 3\) thì \(\int\limits_0^\pi {\left[ {f\left( x \right) + \sin \dfrac{x}{2}} \right]\,{\rm{d}}x} \) bằng:
Đáp án đúng là: D
Ta có \(\int\limits_0^\pi {\left[ {f\left( x \right) + \sin \dfrac{x}{2}} \right]\,{\rm{d}}x} = \int\limits_0^\pi {f\left( x \right)\,{\rm{d}}x} + \int\limits_0^\pi {\sin \dfrac{x}{2}\,{\rm{d}}x} = 3 - \left. {2\cos \dfrac{x}{2}} \right|_0^\pi = 3 - 2\left( {0 - 1} \right) = 5.\)
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