∫x+3分之x²+7x+12 dx

∫x+3分之x²+7x+12 dx
∫x+3分之x²+7x+12 dx

∫x+3分之x²+7x+12 dx
∫(x²+7x+12)/(x+3) dx
=∫(x+3)(x+4)/(x+3) dx=∫(x+4)dx=x平方/2+4

∫(x+x²/3+7x+12) dx=∫xdx+(1/3)∫x^2dx+7∫xdx+12∫dx=x^2/2+x^3/9+7x^2/2+12x+C满意请采纳，谢谢 ~