(31)tan((x-x^(-1))/(x+x^(-1)))

int_(-1)^(1)e^(tan^(-1)x)((1+x+x^(2))/(1+x^(2)))dx

The value of [lim_(x rarr1)(tan^(2)(x-1))/(x^(3)-x^(2)-x+1)]

The value of lim_(x rarr 1) (tan^(2)(x-1))/(x^(3)-x^(2)-x+1) =

int e^(tan^(-1)x)((1+x+x^(2))/(1+x^(2)))dx

The value of int e^(tan-1)x((1+x+x^(2))/(1+x^(2)))dx

Let |{:(tan^(-1)x, tan^(-1)2x, tan^(-1)3x), (tan^(-1)3x, tan^(-1)x, tan^(-1)2x), (tan^(-1)2x, tan^(-1)3x, tan^(-1)x):}|=0 , then the number of values of x satisfying the equation is

Solve: tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)= tan^(-1)3x.

Solve : tan^(-1)((x+1)/(x-1)) + tan^(-1)( (x-1)/(x)) = pi + tan^(-1) (-7)

Solve : tan^(-1)((x+1)/(x-1)) + tan^(-1)( (x-1)/(x)) = pi + tan^(-1) (-7)