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

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

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

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

Prove that : int_(0)^(1) (log x)/(sqrt(1-x^(2)))dx=-(pi)/(2)log 2

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

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

If n gt 1 . Evaluate int_(0)^(oo)(dx)/((x+sqrt(1+x^(2)))^(n))

int(x)/(sqrt(1+x^(2)))dx

int(x)/(sqrt(1+x^(2)))dx

If I=int_(0)^(1) (dx)/(sqrt(1+x^(4)))dx then