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

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

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

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

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

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

Find int(xsin^(-1)x)/(sqrt(1-x^2))dx

Find : int(xsin^(-1)x)/(sqrt(1-x^2))dx

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

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

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