" (2) "log((x^(2)+x+1)/(x^(2)-x+1))

Prove that, (d)/(dx) ["log" (x^(2) + x + 1)/(x^(2) -x + 1) + (2)/(sqrt3) "tan"^(-1) (sqrt3x)/(1-x^(2))]= (4)/(x^(4 ) + x^(2) + 1)

Differentiate log((x^(2)+x+1)/(x^(2)-x+1)) with respect to x:

Prove that : d/dx[log((x^(2)+x+1)/(x^(2)-x+1))+2/sqrt3tan^(-1)((xsqrt3)/(1-x^(2)))]=4/(1+x^(2)+x^(4))

If y=log(x^(2)+x+1)/(x^(2)-x+1)+(2)/(sqrt(3))tan^(-1)((sqrt(3)x)/(1-x^(2))), find (dy)/(dx)

If y=log sqrt((x^(2)+x+1)/(x^(2)-x+1))+(1)/(2sqrt(3)){tan^(-1)backslash(2x+1)/(sqrt(3))+tan^(-1)backslash(2x-1)/(sqrt(3))} then prove that (dy)/(dx)=(1)/(x^(4)+x^(2)+1)

If y=log sqrt((x^(2)+x+1)/(x^(2)-x+1))+(1)/(2sqrt(3)){tan^(-1)backslash(2x+1)/(sqrt(3))+tan^(-1)backslash(2x-1)/(sqrt(3))} then prove that (dy)/(dx)=(1)/(x^(4)+x^(2)+1)

Evaluate underset(-1)overset(1)int log((x^2+x+1)/(x^2-x+1))dx .

Identify the following functions whether odd or even or neither: f(x)=log((x^(4)+x^(2)+1)/(x^(2)+x+1))

Evaluate: underset(-1)overset1 int log((x^2-x+1)/(x^2+x+1))dx