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

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

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

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))

Let f(x)=int(x^2dx)/((1+x^2)(1+sqrt(x^2+1)))a n df(0)=0. Then value of f(1) will be

int(1)/((1+x^(2))sqrt(tan^(-1)x))dx=?

int(1)/((x-1)sqrt(x^(2)-1))dx equals

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

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

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