If `int(6x^5+5x^6)/((x^6+x+1)^2)dx=(A x^2+B x+C)/((x^6+x+1))+C_1` where `A,B,C and C_1` are constants, then the value of `(A+B+C)` is

If int (6x + 7)/((x+ 2)^(2)) dx = A in |x+2| + (B)/(x + 2) + c then (A,B) =

int(x^(6)-1)/(x^(2)+1)dx=....+c

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

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

If the value of integral int(x+sqrt(x^2 -1))^(2)dx = ax^3 - x + b(x^2 - 1)^(1/b), +C (where, C is the constant of integration), then a xx b is equal to

If the value of integral int(x+sqrt(x^2 -1))^(2)dx = ax^3 - x + b(x^2 - 1)^(1/b), +C (where, C is the constant of integration), then a xx b is equal to

If the integral I= ∫e^(5ln x)(x^(6)+1)^(-1)dx=ln (x^(6)+1)+C , (where C is the constant of integration) then the value of (1)/(lambda) is

If int(dx)/(x^(3)(1+x^(6))^(2//3)) = xf(x)(1+x^(6))^(1//3)+ C Where C is a constant of inergration, then the function f(x) is equal to :-

If the integral I= ∫e^(5ln x)(x^(6)+1)^(-1)dx=lamdaln (x^(6)+1)+C , (where C is the constant of integration) then the value of (1)/(lambda) is

If int (2x + 5 )/(sqrt(7 - 6 x - x ^ 2 )) dx = A sqrt (7 - 6x - x ^ 2 ) + B sin ^ ( -1) (( x + 3 )/( 4 ) ) + C (Where C is a constant of integration), then the ordered pair (A, B) is equal to :