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

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

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

Evaluate the following integrals as limit of sum: int_1^4(3x^2+2x)dx

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

int(1-2x^(3))x^(2)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_1^3 (3x)/(9x^2-1) dx (ii) int_2^3 x/(x^2+1) dx

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

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