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For \( j=0,1,2, \ldots n \) let \( S_{j} \) be the area of region bounded by
the \( x \).... VIDEO
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\( \mathrm{P} \)
For \( j=0,1,2, \ldots n \) let \( S_{j} \) be the area of region bounded by
W
the \( x \)-axis and the curve \( y e^{x}=\sin x \) for \( j \pi \leq x \leq(j+1) \pi \) The value of \( S_{0} \) is:
(1) \( \frac{1}{2}\left(1+e^{\pi}\right) \)
(2) \( \frac{1}{2}\left(1+e^{-\pi}\right) \)
(3) \( \frac{1}{2}\left(1-e^{-\pi}\right) \)
(4) \( \frac{1}{2}\left(e^{-\pi}-1\right) \)
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