∫（4x+3)/(x-2)^3dx=∫（4x-8+11)/(x-2)^3dx=∫（4x-8)/(x-2)^3dx+∫11/(x-2)^3dx=4∫1/(x-2)^2dx+11∫1/(x-2)^3dx=-4/(x-2)-11/2(x-2)^2+C=-((8x-5)/2(x-2)^2)+C（C为积分常数）.