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

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

Evaluate the following : int_(0)^(1)(dx)/(x+sqrt(1-x^(2))).

If the value of the integral I=int_(0)^(1)(dx)/(x+sqrt(1-x^(2))) is equal to (pi)/(k) , then the value of k is equal to

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

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

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

int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

Evaluate: int_(0)^(1)(1)/(sqrt(1-x^(2)))sin^(-1)(2x sqrt(1-x^(2)))dx

int_(0)^(1)(dx)/(3sqrt(x))