Mathematics

Mathematics

Problem

∫1+sin⁡x2 dx=\int \sqrt{1 + \sin\frac{x}{2}}\,dx = (a) 14(cos⁡x4−sin⁡x4)+c\frac{1}{4}\left(\cos\frac{x}{4} - \sin\frac{x}{4}\right) + c (b) 4(cos⁡x4−sin⁡x4)+c4\left(\cos\frac{x}{4} - \sin\frac{x}{4}\right) + c (c) 4(sin⁡x4−cos⁡x4)+c4\left(\sin\frac{x}{4} - \cos\frac{x}{4}\right) + c (d) 4(sin⁡x4+cos⁡x4)+c4\left(\sin\frac{x}{4} + \cos\frac{x}{4}\right) + c (a) 14(cos⁡x4−sin⁡x4)+c\frac{1}{4}\left(\cos\frac{x}{4} - \sin\frac{x}{4}\right) + c (b) 4(cos⁡x4−sin⁡x4)+c4\left(\cos\frac{x}{4} - \sin\frac{x}{4}\right) + c (c) 4(sin⁡x4−cos⁡x4)+c4\left(\sin\frac{x}{4} - \cos\frac{x}{4}\right) + c (d) 4(sin⁡x4+cos⁡x4)+c4\left(\sin\frac{x}{4} + \cos\frac{x}{4}\right) + c

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