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Question Number 186246 by Rupesh123 last updated on 02/Feb/23

Answered by Frix last updated on 02/Feb/23

$$\underset{0}{\stackrel{\frac{\pi }{2}}{\int }}\frac{dx}{\sqrt{\sin x(1+\cos x)}}\stackrel{t=\tan \frac{x}{2}}{=}$$$$=\underset{0}{\stackrel{1}{\int }}\frac{dt}{\sqrt{t}}=2{\left[\sqrt{t}\right]}_0^1=2$$

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