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

Evaluate: int1/(x^4+3x^2+1)\ dx

Evaluate the following integrals: int (x^2-3x+1)/(x^4-x^2+1)dx

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

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

(i) int_0^1 (dx)/sqrt(1-x^2) (ii) int_0^1 (dx)/sqrt(1+x^2) (iii) a int_1^sqrt3 (dx)/(1+x^2) b int_0^1 (dx)/(1+x^2) (iv) int_0^(2//3) (dx)/(4+9x^2) (v) int_0^1 x/(x^2+1)dx (vi) int_2^3 x/(x^2+1) dx

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

int(4x^3+3x)/(x^4+1)dx=?

Evaluate I=int (3x^2+4x-2)/(x-1)dx

Prove that, int (e^(x))/(x^(4))dx=-(e^(x))/(3)[(1)/(x^(3))+(1)/(2x^(2))+(1)/(2x)]+(1)/(6)int (e^(x))/(x)dx .