\[\int_{{}}^{{}}{\sqrt{1+\sin \frac{x}{2}}\ dx=}\] [IIT 1980; MP PET 1989; Pb. CET 2003]

\[4\left( \sin \frac{x}{4}+\cos \frac{x}{4} \right)+c\]

\[\frac{1}{4}\left( \cos \frac{x}{4}-\sin \frac{x}{4} \right)+c\]

\[4\left( \cos \frac{x}{4}-\sin \frac{x}{4} \right)+c\]

\[4\left( \sin \frac{x}{4}-\cos \frac{x}{4} \right)+c\]

\[\int_{{}}^{{}}{\sqrt{1+\sin \frac{x}{2}}\ dx=}\] [IIT 1980; MP PET 1

1.	\[\int_{{}}^{{}}{\sqrt{1+\sin \frac{x}{2}}\ dx=}\] [IIT 1980; MP PET 1989; Pb. CET 2003]
A.	\[\frac{1}{4}\left( \cos \frac{x}{4}-\sin \frac{x}{4} \right)+c\]
B.	\[4\left( \cos \frac{x}{4}-\sin \frac{x}{4} \right)+c\]
C.	\[4\left( \sin \frac{x}{4}-\cos \frac{x}{4} \right)+c\]
D.	\[4\left( \sin \frac{x}{4}+\cos \frac{x}{4} \right)+c\]
Answer» D. \[4\left( \sin \frac{x}{4}+\cos \frac{x}{4} \right)+c\]

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\[\int_{{}}^{{}}{\sqrt{1+\sin \frac{x}{2}}\ dx=}\] [IIT 1980; MP PET 1989; Pb. CET 2003]

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