sec^(-1)((1+x^(2))/(1-x^(2)))

sec^(-1)((x^(2)+1)/(x^(2)-1))

Evaluate: int(e^(tan^(-1)x))/((1+x^(2)))[(sec^(-1)sqrt(1+x^(2))+cos^(-1)((1-x^(2))/(1+x^(2)))]dx,(x>0)

Differentiate w.r.t. x: (i)cos^(-1)(4x^(3)-3x)" "(ii)sin^(-1)((1-x^(2))/(1+x^(2)))" "(iii)sec^(-1)((x^(2)+1)/(x^(2)-1))

If y=sec^(-1)((x^(2)+1)/(x^(2)-1)) , then find (dy)/(dx) . Here f^(-1)(x) expression is of the form (x^(2)+a^(2))/(x^(2)-a^(2)) , so we substitute x=tan theta and then use suitable trigonometrical formula to write it in simplest form and then differentiate

int e^(tan^(-1)x)/(1+x^(2))[(sec^(-1) sqrt(1+x^(2)))^(2)+ cos^(-1) ((1-x^(2))/(1+x^(2)))]dx, x gt 0

Find (dy)/(dx) in the following: y= sec^(-1) ((x^(2) + 1)/(x^(2)-1))

If y = sec^(-1) ((x^(2) + 1)/(x^(2) -1)) " then " (dy)/(dx) = ?

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

Differentiate sec^(-1) ((x^2 + 1)/(x^2 -1))