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

Evaluate : int_(1)^(2)(x^(3)-1)/(x^(2))dx

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

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

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

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

Evaluate int_(2)^(3)(x)/(x^(2)-1)dx

Evaluate :int(dx)/(x^(3)+x^(2)+x+1)

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

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

Evaluate: int(1)/(x^(3)sqrt(x^(2)-a^(2)))dx