\[\int_{{}}^{{}}{{{e}^{x/2}}\sin \left( \frac{x}{2}+\frac{\pi }{4} \right)\ dx=}\] [Roorkee 1982]

\[{{e}^{x/2}}\cos \frac{x}{2}+c\]

\[\sqrt{2}{{e}^{x/2}}\cos \frac{x}{2}+c\]

\[{{e}^{x/2}}\sin \frac{x}{2}+c\]

\[\sqrt{2}{{e}^{x/2}}\sin \frac{x}{2}+c\]

\[\int_{{}}^{{}}{{{e}^{x/2}}\sin \left( \frac{x}{2}+\frac{\pi }{4} \ri

1.	\[\int_{{}}^{{}}{{{e}^{x/2}}\sin \left( \frac{x}{2}+\frac{\pi }{4} \right)\ dx=}\] [Roorkee 1982]
A.	\[{{e}^{x/2}}\cos \frac{x}{2}+c\]
B.	\[\sqrt{2}{{e}^{x/2}}\cos \frac{x}{2}+c\]
C.	\[{{e}^{x/2}}\sin \frac{x}{2}+c\]
D.	\[\sqrt{2}{{e}^{x/2}}\sin \frac{x}{2}+c\]
Answer» E.

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\[\int_{{}}^{{}}{{{e}^{x/2}}\sin \left( \frac{x}{2}+\frac{\pi }{4} \right)\ dx=}\] [Roorkee 1982]

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