[" If "int(x^(4)+1)/(x^(6)+1)dx=tan^(-1)f(x)-(2)/(3)tan^(-1)g(x)+c,],[" then "]

If int (x^(4) + 1)/(x^(6) + 1) dx = A tan^(-1) x + B tan^(-1) x^(3) + c , then (A,B) =

Ifint(x^4+1)/(x^6+1)dx=tan^(-1)f(x)-2/3tan^(-1)g(x)+C ,t h e n a) both f(x)a n dg(x) are odd functions b) f(x) is monotonic function c) f(x)=g(x) has no real roots d) int(f(x))/(g(x))dx=-1/x+3/(x^3)+c

Ifint(x^4+1)/(x^6+1)dx=tan^(-1)f(x)-2/3tan^(-1)g(x)+C ,t h e n both f(x)a n dg(x) are odd functions f(x) is monotonic function f(x)=g(x) has no real roots int(f(x))/(g(x))dx=-1/x+3/(x^3)+c

Ifint(x^4+1)/(x^6+1)dx=tan^(-1)f(x)-2/3tan^(-1)g(x)+C ,t h e n both f(x)a n dg(x) are odd functions f(x) is monotonic function f(x)=g(x) has no real roots int(f(x))/(g(x))dx=-1/x+3/(x^3)+c

int(x^(2)-1)/((x^(4)+3x^(2)+1)tan^(-1)(x+(1)/(x)))dx=

int(x^(4)+1)/(x^(6)+1)dx(1)tan^(-1)x-tan^(-1)x^(3)+c(2)tan^(-1)x-(1)/(3)tan^(-1)x^(3)+c(3)tan^(-1)x+tan^(-1)x^(3)+c(4)tan^(-1)x+(1)/(3)tan^(-1)x^(3)+c

" 1.If "int(1)/((x^(2)+1)(x^(2)+4))dx=G tan^(-1)x+H tan^(-1)((x)/(2))+C,C in A." Then "G=.......,H=...?

If int(1)/((x^2+1)(x^2+4))dx=a tan^(-1). x+b tan^(-1).(x)/(2)+c , then :

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