e^x=t∫(上面3,下面0)t(1+t)^2dlnt∫(上面3,下面0)1+2t+t^2dtt+t^2+1/3 t^3 (3,0)=12
原式=∫(上限ln3,下限0)(1+e^x)²d(1+e^x)=(1+e^x)³/3(上限ln3,下限0)=(1+3)³/3-(1+1)³/3=56/3