If \[\int_{{}}^{{}}{{{e}^{x}}\sin x\ dx=\frac{1}{2}{{e}^{x}}\ .\ a+c}\], then \[a=\] [MP PET 1989]

If \[\int_{{}}^{{}}{{{e}^{x}}\sin x\ dx=\frac{1}{2}{{e}^{x}}\ .\ a+c}\

1.	If \[\int_{{}}^{{}}{{{e}^{x}}\sin x\ dx=\frac{1}{2}{{e}^{x}}\ .\ a+c}\], then \[a=\] [MP PET 1989]
A.	\[\sin x-\cos x\]
B.	\[\cos x-\sin x\]
C.	\[-\cos x-\sin x\]
D.	\[\cos x+\sin x\]
Answer» B. \[\cos x-\sin x\]

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If \[\int_{{}}^{{}}{{{e}^{x}}\sin x\ dx=\frac{1}{2}{{e}^{x}}\ .\ a+c}\], then \[a=\] [MP PET 1989]

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