数学试题讲解

设有积分

I_{1} = \int_{0}^{1} \frac{x}{\ln (1 + x)} d x, I_{2} = \int_{0}^{1} \frac{x^{2}}{\ln^{2} (1 + x)} d x, I_{3} = \int_{0}^{1} \frac{x^{2}}{\ln (1 + x^{2})} d x

, 则

I_{1}, I_{2}, I_{3}

按大小不同排列的顺序是

I_{1} < I_{2} < I_{3}

I_{1} < I_{3} < I_{2}

I_{3} < I_{2} < I_{1}

I_{3} < I_{1} < I_{2}