" 8.(i) "int(x^(3)-x^(2)+x-1)/(x-1)dx

Evaluate : (i) int(3x^(2))/((1+x^(6)))dx (ii) int(x^(3))/((x^(2)+1)^(3))dx (iii) (x^(8))/((1-x^(3))^(1//3))dx

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

(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

Evaluate: (i) int((x^3+8)(x-1))/(x^2-2x+4)\ dx (ii) int(atanx+bcotx)^2\ dx

Evaluate: (i) int((x^(3)+8)(x-1))/(x^(2)-2x+4)dx (ii) int(a tan x+b cot x)^(2)dx

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

(i) int((x+3))/(x+1)dx

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