" 5."(i)tan^(2)(2x-3)

Solve : ((tan^-1 ((2x-3)/(2x-5)) + tan^-1((2x+3)/(2x+5)))=pi/4) .

If I = int tan^(-1)((2x)/(1-x^(2)))*dx then I-2x*tan^(-1)x =

Find the sum of each of the following series: (i) tan^(-1)((1)/(x^(2)+x+1))+tan^(-1)((1)/(x^(2)+3x+3))+tan^(-1)((1)/(x^(2)+5X+7))+tan^(-1)((1)/(x^(2))+7x+13))...... upto n.

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

Solve for x : tan^(2)(x-5^(@))=3

Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^(2))+tan^(-1)(2+3x)/(3-2x)

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x))

Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^2)+tan^(-1)(2+3x)/(3-2x)