`(i) \ int \ (x^3-1)/(x^2) \ dx quad (ii)int \ (x^(2//3)+1)dx`

(i)int(x^(3)-1)/(x^(2))dx(ii)int(x^(2/3)+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

(i) int (3x^2)/(x^6+1) dx (ii) int (3x)/(1+2x^4) dx

(i) int 1/((x^2+1)(x^2+4)) dx (ii) int 1/((x^2+1)(x^2+2)) dx

(i) int 1/(1-x^2) dx (ii) int 1/(x^2-9) dx

(i) int (1)/(x(x+1)^(2))dx (ii) int (1)/((x+1)^(2)(x-1))dx

(i) int_1^3 (3x)/(9x^2-1) dx (ii) int_2^3 x/(x^2+1) dx

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

(i) int 1/(x^2+2x+2) dx (ii) int 1/(9x^2+6x+5) dx