Question

integration of √ ( 1 + cos x )

Answer 1

Answer:

2$\sqrt[]{2}$ sin $\frac{x}{2}$ +C

Step-by-step explanation:

∫$\sqrt{1+ cosx}$

= ∫$\sqrt{2 cos^{2} \frac{x}{2} } dx$

= $\sqrt{2} \frac{sin \frac{x}{2} }{\frac{1}{2} } +C$

= 2$\sqrt{2}$ sin$\frac{x}{2} +C (ans)$

Answer 2

$hi \: mate \\ \\ \sqrt{1 + \cos(x) } = \sqrt{2} \cos(x \div 2) \\ \\ \\ so \: its \: integration \: is \: \\ \\ 2 \sqrt{ 2} \sin(x \div 2) \\ \\ \\ have \: a \: nyc \: day$