1.

\[\int_{0}^{\pi /2}{{{e}^{x}}\sin x\,dx=}\]                                              [Roorkee 1978]

A.                 \[\frac{1}{2}({{e}^{\pi /2}}-1)\]
B.                 \[\frac{1}{2}({{e}^{\pi /2}}+1)\]
C.                 \[\frac{1}{2}(1-{{e}^{\pi /2}})\]
D.                 \[2({{e}^{\pi /2}}+1)\]
Answer» C.                 \[\frac{1}{2}(1-{{e}^{\pi /2}})\]


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