\[\int_{-\pi /4}^{\pi /2}{{{e}^{-x}}\sin x\,dx}=\] [CEE 1993]

\[-\frac{\sqrt{2}}{2}{{e}^{-\pi /4}}\]

\[-\frac{1}{2}{{e}^{-\pi /2}}\]

\[-\sqrt{2}({{e}^{-\pi /4}}+{{e}^{-\pi /4}})\]

\[\int_{-\pi /4}^{\pi /2}{{{e}^{-x}}\sin x\,dx}=\]

1.	\[\int_{-\pi /4}^{\pi /2}{{{e}^{-x}}\sin x\,dx}=\] [CEE 1993]
A.	\[-\frac{1}{2}{{e}^{-\pi /2}}\]
B.	\[-\frac{\sqrt{2}}{2}{{e}^{-\pi /4}}\]
C.	\[-\sqrt{2}({{e}^{-\pi /4}}+{{e}^{-\pi /4}})\]
D.	0
Answer» B. \[-\frac{\sqrt{2}}{2}{{e}^{-\pi /4}}\]

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\[\int_{-\pi /4}^{\pi /2}{{{e}^{-x}}\sin x\,dx}=\] [CEE 1993]

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