(v)cot^(-1)((sqrt(1+x^(2))-1)/(x^(x))),x!=0

cot^(-1)((sqrt(1-x^(2)))/(x))

cot^(-1)(sqrt(1+x^2)-x)

Differentiate the following functions with respect to x:tan^(-1){(sqrt(1+x^(2))+1)/(x)},x!=0 (ii) cot^(-1){sqrt(1+x^(2))+x}

(d)/(dx)[cot^-1((1+sqrt(1-x^(2)))/(x))]=

Evaluate cot^(-1)(sqrt(1+x^(2))+x)

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

Differentiate the following functions with respect to x : (i) tan^(-1){(sqrt(1+x^2)+1)/x},\ \ x!=0 (ii) cot^(-1){sqrt(1+x^2)+x}

sin cot^(-1)cos (tan ^(-1)x)=sqrt((x^(2)+1)/(x^(2)+2))(x gt 0)