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

cot^(-1)sqrt(x)

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

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

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

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

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

y=cot^(-1)sqrt((1+x)/(1-x)) then (dy)/(dx)

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

If x in (0, 1) then intcos{2cot^(-1) sqrt((1+x)/(1-x))}dx=

Write into the simplest form: cot^(-1)(sqrt(1+x^(2))+x)