I=int(dx)/(x(x^(3)+8))

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

int(x^3)/((1+x^8)) dx

int(x^(3))/((1+x^(8)))dx

int(dx)/((x-2)^((7)/(8))(x+3)^((9)/(8)))

int(dx)/(sqrt(3x^2+8))=

int(1)/(3x^(2)-8)dx

I=int(1)/(x^(3)+x^(2)+x+1)dx

int (x^(3)dx)/(1+x^(8)) =