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

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

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

Evaluate int(x dx)/(x^(3)sqrt(x^(2)-1)).

Evaluate the following integrals : (i) int(1)/((x+1)sqrt(2x-3))dx (ii) int(1)/((x+1)sqrt(x^(2)+x-1))dx (iii) int(1)/((x^(2)+3x+3)sqrt(x+1))dx (iv) int(1)/((x^(2)-3x+2)sqrt(x^(2)-2))dx

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

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

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

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

int (x^(2) +1)/(sqrt(x^(2)+3))dx

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