10.(1+x^(2))tan^(-1)x

2tan(tan^(-1)(x)+tan^(-1)(x^(3))), where x in R-{-1,1} is equal to (2x)/(1-x^(2))t(2tan^(-1)x)tan(cot^(-1)(-x)-cot^(-1)(x))tan(2cot^(-1)x)

[ If xgt0 then which of the following is true 1) tan^(-1)xgt(x)/(1+x^(2)), 2) tan^(-1)x=(x)/(1+x^(2)) 3) tan^(-1)xlt(x)/(1+x^(2)), 4) tan^(-1)x!=(x)/(1+x^(2))]

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

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

If y = tan^(-1) ((1)/(1 + x + x^(2))) + tan^(-1) ((1) /(x^(2) + 2x + 3)) + tan^(-1) ((1)/(x^(2) + 5x + 7)) + ….n terms , then y(0) is

Evaluate lim_(x to 0) x[tan^(-1)((x+1)/(x+2))-tan^(-1)((x)/(x+2))].