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

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

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

The value of int_(-1)^(1) (log(x+sqrt(1+x^(2))))/(x+log(x+sqrt(1+x^(2))))f(x) dx-int_(-1)^(1) (log(x +sqrt(1+x^(2))))/(x+log(x+sqrt(1+x^(2))))f(-x)dx ,

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

Evaluate int(dx)/((1+x^(2))sqrt(1-x^(2))).

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

Evaluate: int_(1//4)^(1//2)1/(sqrt(x-x^2))dx

Let I_(1)=int_(1)^(2)(x)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

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

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