int(5(x^(6)+1))/(x^(2)+1)

(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))dx (iii) int ((x^(4))/(1+x^(2)))dx , (iv) int((x^(2))/(1+x^(2)))dx

int(x^(6))/(x^(2)+1)dx

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

int(x^(5)dx)/((x^(2)+x+1)(x^(6)+1)(x^(4)-x^(3)+x-1))

int(x^(2))/(1+x^(6)) dx

int(x^(2))/(1+x^(6)) dx

int(x^(2))/(1+x^(6))

(5) int(x^(2)-1)/(x(2x-1))dx

(5) int(x^(2)-1)/(x(2x-1))dx

int(x^(5))/(x^(6)+1)dx