Evaluate `int_(0)^(1)sqrt((1+x))dx`

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Evaluate :int_(0)^(1)sqrt(x(1-x))dx

int_(0)^(1)sqrt(x)dx=

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

int_(0)^(1)x+sqrt(x)dx=

int_(0)^(1)x sqrt(1-x^(2))dx

int_(0)^(2)(1)/(sqrt(x))dx

int_(0)^(1)sqrt(x(1-x))dx equals

int_(0)^(1)(sqrt(x))/(1+x^(2))dx

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