`(5x - 2 )/( 2+ 2 x + x^(2))`

Integrate the following with respect to x. (5x-2)/(2+2x+x^(2))dx

L_ (x rarr oo) (x ^ (2) + 5x + 2) / (2x ^ (2) -5x + 1)

lim_ (x rarr oo) (x ^ (2) + 5x + 2) / (2x ^ (2) -5x + 1)

Integrate the following with respect to x : (i) (2x-3)/(x^2+4x-12) (ii) (5x-2)/(2+2x+x^2) (iii) (3x+1)/(2x^2-2x+3)

(-3x^(2) + 5x -2) -2(x^(2)-2x-1) If the expression above is rewritten in the form ax^(2) + bx +c , where a, b, and c are constants, what is the value of b ?