The value of ∫$$sin$$⁡α$$1+$$$$cos$$⁡αdα is

Correct option is 2−22cos⁡(α/2)+C

Questions

The value of $\int \frac{\sin α}{\sqrt{1 + \cos α}} d α$ is

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22cos⁡(α/2)+C

−22cos⁡(α/2)+C

2cos⁡(α/2)+C

−2cos⁡(α/2)+C

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detailed solution

Correct option is B

∫sin⁡α1+cos⁡αdα=−∫dxx(x=1+cos⁡α)=−2(1+cos⁡α)1/2+C=−22cos⁡α/2+C.

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The value of ∫sin⁡α1+cos⁡αdα is

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The value of $\int \frac{\sin α}{\sqrt{1 + \cos α}} d α$ is