If `int frac{xdx}{x^2-4x+8}=K log (x^2-4x+8)+tan^(-1)(frac{x-2}{2})+C`, then the value of K is:

If int(x)/(x^(2)-4x+8)dx=Klog(x^(2)-4x+8)+tan^(-1)((x-2)/(2)) + C then the value of K is

If tan^-1 2x+tan^-1 3x = frac{pi}{4} , then find the value of x.

int frac{x}{x^2sqrt(x^4-1)} dx

If int tan^(-1)x dx=xtan^(-1)x+k log(1+x^(2))+C , then the value of k is-

If tan^-1(frac{x-1}{x-2})+tan^-1(frac{x+1}{x+2}) = frac{pi}{4} then find value of x

If frac(x)(2x^2+5x+2)=frac(1)(6) , then the value of (x+frac(1)(x)) is

int frac{1}{x^2 + 4x + 8} dx =............... A) tan^(-1) (frac{x+2}{2}) + c B) tan^(-1) (x+2) + c C) (1/4) tan^(-1) (x+2) + c D) (1/2) tan^(-1) (frac{x+2}{2}) + c

If tan^-1(frac(x-1)(x-2))+tan^-1(frac(x+1)(x+2))=pi/4 , then find the value of x

If x^2+y^2+frac (1) (x^2) + frac (1)(y^2)=4 then the value of x^2y^2 is