计算定积分：
∫e-10ln(x+1)dx
∫e-10ln(x+1)dx=[xln(x+1)]e-10-∫e-10[x/(x+1)]dx=e-1-∫e-10[(x+1)-1/(x+1)]dx =e-1-∫e-10[1-1/(x+1)]dx=e-1-[x-ln(x+1)]e-10=1．
计算定积分：
∫e-10ln(x+1)dx
∫e-10ln(x+1)dx=[xln(x+1)]e-10-∫e-10[x/(x+1)]dx=e-1-∫e-10[(x+1)-1/(x+1)]dx =e-1-∫e-10[1-1/(x+1)]dx=e-1-[x-ln(x+1)]e-10=1．
