`int(a x^2+b x+c) dx`

Integrate the following functions with respect to x (a) int (5x^2 + 3x -2) dx (b) int (4sin x-(2)/(x)) dx (c) int (dx)/(4x+5) (d) int (6x +2)^(3) dx

int(ax^(2)+bx+c)/((x-a)(x-b)(x-c))dx;a,b,c are distinct

If int _(a)^(b) x^(3) dx = 0 and if int _(a)^(b) x^(2) dx = 2/3 , then the values of a and b respectively are