Question The value of \( \int_{1}^{e}\left(\left(\frac{1}{x}-x+x \ln x\right) \sin x\right) d x ....

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Question
\( \mathrm{P} \)
The value of \( \int_{1}^{e}\left(\left(\frac{1}{x}-x+x \ln x\right) \sin x\right) d x \) is
1 \( \sin e-\cos 1 \)
\( 2 \cos e-\sin 1 \)
3
\( \sin e+\cos 1 \)
4
\( \cos e+\sin 1 \)


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