`int_1^2 (5x^2)/(x^2+4x+3) dx`

int (x^3+5x^2+4)/x^2 dx=

int (x^3 + 5x^2 - 4)/(x^3) dx

(i) int_1^2 (dx)/((x+1)(x+2)) (ii) int_1^2 (x+3)/(x(x+2) dx

int_1^2(3x-4)dx=?

int(5x-3)/(x^2-2x-3)dx

int_1^2(x^3+4x+5)dx

int(5x^2)/((x+1)(x^2+4))dx=

int (2x+1)/(x^2+4x-5) 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(5x)/((x+1)(x^2-4))\ dx