" 14."sqrt(cot^(-1)sqrt(x))

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

If y=sqrt(cot^(-1)sqrt(x)),"find "(dy)/(dx) .

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

[" 0.",int sin^(-1)sqrt((x)/(a+x))dx" is equal to "],[," 1) "(x+a)tan^(-1)sqrt((x)/(a))-sqrt(ax)+C],[" 3) "(x+a)cot^(-1)sqrt((x)/(a))-sqrt(ax)+C," 2) "(x+a)tan^(-1)sqrt((x)/(a))+sqrt(ax)+C]

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

intcos(2cot^(-1)sqrt((1-x)/(1+x)))dx=

Differentiate cot ^(-1)sqrt(x)

d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

If x=cot75^(@) , then find the value of sqrt(x)+(1)/(sqrt(x)) .

Evaluate int_(0)^(pi//2) (sqrt(cot x))/(sqrt(cot x) + sqrt(tan x)) dx.