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int0^1(dx)/(sqrt(x(1-x)))...

`int_0^1(dx)/(sqrt(x(1-x)))`

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int_0^1 (x)/(sqrt(1-x))dx=

int_0^1(dx)/(sqrt(1-x^2)dx

Evaluate int_0^1 (dx) /(sqrt(1-x^2)

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Evaluate: int_0^(1)x(dx)/(sqrt(1-x^(2)))

int_0^(1) sqrt(x(1-x)) dx=

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int_(0)^(1)(dx)/(sqrt(x+1)-sqrt(x))

Evaluate int_(0)^(1)(dx)/(sqrt(x+1)+sqrt(x)) .