(1)/(x(x^(6)+1))

Resolve (1)/(x^(6)(x+1)) into partial fractions.

int(5x^(6)-1)/((x^(6)+x+1)^(2))dx is equal to (i) (-x)/(x^(6)+x+1)+C( ii) (x)/(x^(6)+x+1)+C( iii) (x+1)/(x^(6)+x+1)+C( iv )(-x-1)/(x^(6)+x+1)+C

lim_(x rarr0)((1+x)^(9)-1)/((1+x)^(6)-1)=(3)/(2)

Show that lim_(x to 0)((1+x)^(9)-1)/((1+x)^(6)-1)=(3)/(2)

lim_(x rarr 1) (x^(18)-1)/(x^(6)-1) =

Let f : R to R be defined by f(x) = ((x^(6) +1)x(x+1)+x^(6)+1)/(x^(2) + x+1) , Then f is

int(x^(4)+1-x^(2))/(x^(6)+1)dx=

If x+ (1)/(x)=3 , then x^(6) + (1)/(x^(6))= ?