If `int(x^2-1)/((x+1)^2sqrt(x(x^2+x+1)))\ dx=A\ tan^(- 1)((x^2+x+1)/x)+c` in which `c` is a constant then `A=`

int(x^(2)-1)/((x+1)^(2)sqrt(x(x^(2)+x+1)))backslash dx=A backslash tan^(-1)((x^(2)+x+1)/(x))+c in which c is a constant then A=

int(2x+1)/(sqrt((x^(2)+x+1)))dx

If int(1)/((x+1)sqrt(x-1))dx=k.tan^(-1)sqrt((x-1)/(2))+c then k =

int(2x-1)/(sqrt(x^(2)-x+1))dx

int(dx)/((1+x^(2))sqrt(tan^(-1)x+4))

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

If int(1)/((x^(2)+1)(x^(2)+4))dx=Atan^(-1)x+B" tan"^(-1)(x)/(2)+C , then

int(x+1)/(sqrt(x^(2)+2x+1))dx=

If int(dx)/((x+1)^(2)(x^(2)+2x+2))=(A)/(x+1)+B tan^(-1)(x+1)+C, where A and B are constants and C is the constant of integration, then |A-B| is equal to

Let int(x^(2)-1)/(x^(3)sqrt(3x^(4)+2x^(2)-1))dx=f(x)+c where f(1)=-1 and c is the constant of integration.