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integral of:

integral of:
{1 + [-x(x-x^2)^(-1/2) + (1-x)^(-1/2)]^2}^1/2

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{1 + [-x(x-x^2)^(-1/2) + (1-x)^(-1/2)]^2}^1/2
First simplify the expression
{1 + [-x(x-x^2)^(-1/2) + (1-x)^(-1/2)]^2}^1/2 = 1+((1-x^.5)/(1-x)^.5)^2
= {1 + (1+x-2x^.5)/(1-x)}...

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