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

int((x+1)^(2)dx)/(x(x^(2)+1)) is equal to

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

Evaluate: int_(1)^(2)(1)/((x+1)(x+2))dx( ii) int_(1)^(2)(1)/(x(1+x^(2)))dx

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

Let I_(1)=int_(1)^(2)(x)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

int (1+x^(2))/(1-x^(2)).(dx)/(sqrt(1+x^(2)+x^(4)))

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

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

9*int((1-2x)dx)/(sqrt(1+x-x^2))