Integral of sqrt(1 + sin x)

1. A.
   $2\sqrt{2}\sin\left(\dfrac{x}{2} - \dfrac{\pi}{4}\right) + c$
2. B.
   $2\sqrt{2}\sin\left(\dfrac{x}{2} + \dfrac{\pi}{4}\right) + c$
3. C.
   $\sqrt{2}\sin\left(\dfrac{x}{2} - \dfrac{\pi}{4}\right) + c$
4. D.
   $\sqrt{2}\sin\left(\dfrac{x}{2} + \dfrac{\pi}{4}\right) + c$

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1. A.
   $\dfrac{1}{2}, \dfrac{\pi}{2}$
2. B.
   $\dfrac{1}{2}, \dfrac{\pi}{4}$
3. C.
   $\dfrac{x}{2}, \dfrac{\pi}{4}$
4. D.
   $1, \dfrac{\pi}{2}$

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