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Having a hard time managing to solve ad integral in Landau Theoretical Physics Volume 1 page 28 (3rd edition) (Determination of the potential energy from the period of oscillation)

The integral is ∫1/√(E-u)(σ-E) with respect to dE between u and sigma. The book claims that the integral is elementary and should come to equal ∏, yet no matter how many different ways I have attempted this, I have drawn a blank. Any help on the correct derivation would be much appreciated.

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# Need Help with Elementary integral derivation.

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