Evaluate $\int \dfrac{1}{\sqrt{x-1}+\sqrt{x}+\sqrt{x+1}} \ \mathrm{d}x$

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Evaluate

$$\int \dfrac{1}{\sqrt{x-1}+\sqrt{x}+\sqrt{x+1}} \ \mathrm{d}x$$

I tried rationalizing the denominator by twice multiplying, but it didn't do any good. I also tried trig substitutions but that too didn't work out.

Can anyone help please?