Evaluate: (i) `int((x^(3) + 4x^(2) -3x -2))/((x+2)) dx` , (ii) `int((x^(4) +1)/(x^(2) +1))dx`

Evaluate: (i) int(x^(5)+x^(-2)+2)/(x^(2))dx (ii) int(5x^(4)+12x^(3)+7x^(2))/(x^(2)+x)dx

Evaluate: int(1)/(x^(4)+3x^(2)+1)dx

Evaluate: (i) int(5x^(2) + 2x^(-5) - 7x + 1/(sqrt(x)) +5/x) dx (ii) int(3sinx - 4 cosx + 5 sec^(2) x - 2cosec^(2)x) dx (iii) int(1-x)(2+3x)(5-4x)dx (iv) int((3x^(4) - 5x^(3) + 4x^(2) -x + 2)/(x^(3)))dx , (v) int(x^(2) + 1/(x^(2)))^(3) dx

Evaluate: int(x^3)/(x^4+x^2+1)\ dx

Evaluate: (i) int(x sin^(-1)x^(2))/(sqrt(1-x^(4)))dx (ii) int x^(3)sin(x^(4)+1)dx

Evaluate : (i) int(dx)/((9x^(2)-1)) (ii) int(x)/((x^(4)-9))dx (iii) int(x^(2))/((x^(2)-9))dx

Evaluate : (i) int(dx)/((1-4x^(2))) (ii) int(dx)/((32-2x^(2))) (iii) int(x^(2))/((1-x^(6)))dx

Evaluate: (i) int(x^(3)-3x^(2)+5x-7+x^(2)a^(x))/(2x^(2))dx (ii) int(cos x)/(1+cos x)dx

Evaluate: (i) int2x sec^(3)(x^(2)+3)tan(x^(2)+3)dx (ii) int((x+1)/(x))(x+log x)^(2)dx