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Question Number 115071 by bemath last updated on 23/Sep/20

$$\underset{0}{\stackrel{\frac{\pi }{2}}{\int }}\frac{\cos x}{\sqrt{1-\sin x}}dx?$$

Answered by Dwaipayan Shikari last updated on 23/Sep/20

$${\int }_0^{\frac{\pi }{2}}\frac{cosx}{\sqrt{1-sinx}}dx$$$$-{\int }_1^0\frac{dt}{\sqrt{t}}={\int }_0^1\frac{dt}{\sqrt{t}}={\left[2\sqrt{t}\right]}_0^1=2$$

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