- #1

LineIntegral

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## Homework Statement

I need to calculate the integral:

[tex]\int_{0}^{\frac{\pi}{2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\mathrm{d}x[/tex]

## Homework Equations

## The Attempt at a Solution

There is a tip: "try substituting [tex]y=\frac{\pi}{2}-x[/tex]. I tried it and didn't get anywhere. I also tried several trigonometric identities.

Thanks in advance!