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=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

If f(x)=sinx, g(x)=cosx and h(x)=cos(cosx), then the integral I=int f(g(x)).f(x).h(x)dx simplifies to -lambda sin^(2)(cosx)+C (where, C is the constant of integration). The value of lambda is equal to

If f(x)=sinx, g(x)=cosx and h(x)=cos(cosx), then the integral I=int f(g(x)).f(x).h(x)dx simplifies to -lambda sin^(2)(cosx)+C (where, C is the constant of integration). The value of lambda is equal to

If the integral I=inte^(x^(2))x^(3)dx=e^(x^(2))f(x)+c , where c is the constant of integration and f(1)=0 , then the value of f(2) is equal to

If the integral I=inte^(x^(2))x^(3)dx=e^(x^(2))f(x)+c , where c is the constant of integration and f(1)=0 , then the value of f(2) 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 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

The integral I=int(2sinx)/((3+sin2x))dx simplifies to (where, C is the constant of integration)

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