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

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

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

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

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

(1) int(2x+3)/((x-1)(x-2))dx

(1) int(2x+3)/((x-1)(x-2))dx

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

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

int(x^(2)+3)/(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