If `I=int(dx)/(x^(3)(x^(8)+1)^(3//4))=(lambda(1+x^(8))^((1)/(4)))/(x^(2))+c` (where c is the constant of integration), then the value of `lambda` is equal to

If the integral I=int(dx)/(x^(10)+x)=lambda ln ((x^(9))/(1+x^(mu)))+C , (where, C is the constant of integration) then the value of (1)/(lambda)+mu is equal to

If the integral I=int(dx)/(x^(10)+x)=lambda ln ((x^(9))/(1+x^(mu)))+C , (where, C is the constant of integration) then the value of (1)/(lambda)+mu is equal to

The integral I=int2^((2^(x)+x))dx=lambda. (2^(2^(x)))+C (where, C is the constant of integration). Then the value of sqrtlambda is equal to

The integral I=int2^((2^(x)+x))dx=lambda. (2^(2^(x)))+C (where, C is the constant of integration). Then the value of sqrtlambda 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 the integral I=int(x^(5))/(sqrt(1+x^(3)))dx =Ksqrt(x^(3)+1)(x^(3)-2)+C , (where, C is the constant of integration), then the value of 9K is equal to

If the integral I=int(x^(5))/(sqrt(1+x^(3)))dx =Ksqrt(x^(3)+1)(x^(3)-2)+C , (where, C is the constant of integration), then the value of 9K is equal to

If I=int(x^(3)-1)/(x^(5)+x^(4)+x+1)dx=(1)/(4)ln(f(x))-ln(g(x))+c (where, c is the constant of integration) and f(0)=g(0)=1 ,then the value of f(1).g(1) is equal to

If I=int(x^(3)-1)/(x^(5)+x^(4)+x+1)dx=(1)/(4)ln(f(x))-ln(g(x))+c (where, c is the constant of integration) and f(0)=g(0)=1 ,then the value of f(1).g(1) is equal to

"If"int(dx)/(x^(3)(1+x^(6))^(2/3))=xf(x)(1+x^(6))^(1/3)+C where, C is a constant of integration, then the function f(x) is equal to